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SUSE:SLE-15-SP1:Update
mozilla-nss.16337
nss-fips-stricter-dh.patch
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File nss-fips-stricter-dh.patch of Package mozilla-nss.16337
commit 3ab80b72e85583bd727730bc5b57f91e07b89710 Author: Hans Petter Jansson <hpj@cl.no> Date: Fri Sep 4 13:41:34 2020 +0200 Patch 38: nss-fips-stricter-dh.patch diff --git a/gtests/softoken_gtest/manifest.mn b/gtests/softoken_gtest/manifest.mn --- a/gtests/softoken_gtest/manifest.mn +++ b/gtests/softoken_gtest/manifest.mn @@ -20,16 +20,17 @@ CPPSRCS = \ $(NULL) INCLUDES += \ -I$(CORE_DEPTH)/gtests/google_test/gtest/include \ -I$(CORE_DEPTH)/gtests/common \ -I$(CORE_DEPTH)/cpputil \ $(NULL) -REQUIRES = nspr gtest +REQUIRES = nspr gtest cpputil PROGRAM = softoken_gtest EXTRA_LIBS = \ $(DIST)/lib/$(LIB_PREFIX)gtest.$(LIB_SUFFIX) \ + $(DIST)/lib/$(LIB_PREFIX)cpputil.$(LIB_SUFFIX) \ $(DIST)/lib/$(LIB_PREFIX)gtestutil.$(LIB_SUFFIX) \ $(NULL) diff --git a/gtests/softoken_gtest/softoken_dh_vectors.h b/gtests/softoken_gtest/softoken_dh_vectors.h new file mode 100644 --- /dev/null +++ b/gtests/softoken_gtest/softoken_dh_vectors.h @@ -0,0 +1,3409 @@ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +/* If you want the full range of tests, compile with + * -DNSS_SOFTOKEN_DH_INCLUDE_SLOW. These tests could take minuts on a fast + * PC and longer on a slow mac */ + +namespace nss_test { +/* first list the primes we want to test */ + +/* known primes */ +/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */ +static const unsigned char prime_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* safe primes that aren't already known. These primes should pass, but + * take more processing in FIPS mode */ +static const unsigned char prime_safe_1536[] = { + 0xf7, 0x67, 0x31, 0xc8, 0x45, 0x6a, 0xd9, 0xea, 0x53, 0x0b, 0x21, 0xc7, + 0x4a, 0xfa, 0x81, 0x66, 0x76, 0x5c, 0xea, 0xb7, 0xf5, 0x11, 0x32, 0x6d, + 0xd3, 0x4c, 0x7a, 0xac, 0x39, 0x17, 0x1a, 0x87, 0xb8, 0x00, 0xd7, 0x11, + 0xc5, 0xfd, 0xe1, 0xe3, 0x65, 0x4c, 0x1f, 0x42, 0x24, 0x41, 0x1e, 0x92, + 0x42, 0xbf, 0xb6, 0x65, 0x0e, 0x72, 0x83, 0x8a, 0xb8, 0x82, 0xa6, 0x4f, + 0x9e, 0xca, 0x4f, 0xd1, 0xb1, 0x13, 0xc2, 0xfa, 0x67, 0xa1, 0x6a, 0x06, + 0x4f, 0xaf, 0x6e, 0x16, 0xd9, 0x94, 0xd8, 0xda, 0xe3, 0x66, 0x62, 0x01, + 0x1f, 0x82, 0x8f, 0x10, 0xe0, 0x2f, 0x3c, 0xa3, 0x42, 0xa8, 0xbb, 0x94, + 0x32, 0x79, 0x79, 0x7f, 0x97, 0xf8, 0x3a, 0x31, 0xaa, 0x14, 0xc7, 0xfe, + 0x13, 0x96, 0x77, 0x15, 0xbf, 0x47, 0x20, 0x57, 0x11, 0xe0, 0x4f, 0xda, + 0x7e, 0xa9, 0x19, 0x49, 0xa1, 0x8d, 0x29, 0x76, 0x8a, 0xd3, 0x9b, 0xb0, + 0xbe, 0x50, 0xc3, 0x25, 0x82, 0xf9, 0xe3, 0x21, 0x8c, 0xfd, 0xa6, 0x51, + 0xe5, 0x36, 0x7e, 0x82, 0xb6, 0x90, 0x45, 0xe1, 0xd5, 0x72, 0x56, 0xbe, + 0xc5, 0x67, 0x3d, 0x13, 0x1a, 0x39, 0x7f, 0x98, 0x33, 0xfc, 0xb4, 0x7b, + 0xa4, 0x38, 0x71, 0x87, 0x96, 0x6e, 0xe6, 0x7b, 0x77, 0xb2, 0x65, 0xfd, + 0xdf, 0x27, 0x93, 0x0c, 0x3c, 0x60, 0xdf, 0xe5, 0x33, 0xfe, 0xd7, 0x4b}; + +static const unsigned char prime_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x33}; + +static const unsigned char prime_safe_3072[] = { + 0x87, 0x66, 0xdf, 0xf7, 0xec, 0x49, 0x6a, 0x9a, 0x7c, 0x96, 0x28, 0xae, + 0x67, 0x38, 0xab, 0xfa, 0xfe, 0x5c, 0x46, 0x7b, 0xef, 0xe9, 0x18, 0xa6, + 0x76, 0xb2, 0xe5, 0x0e, 0xbe, 0xb8, 0xf2, 0x80, 0x36, 0x09, 0x82, 0x44, + 0x7b, 0xe8, 0xe8, 0xcc, 0x89, 0x27, 0x68, 0x05, 0xe0, 0xe1, 0x37, 0xd7, + 0xbf, 0xdb, 0x0c, 0xf6, 0x48, 0x52, 0x17, 0x3f, 0x75, 0xc5, 0x4e, 0xb4, + 0x3d, 0xf8, 0x4c, 0xea, 0xb4, 0x0b, 0x06, 0x04, 0x15, 0x89, 0x7c, 0xba, + 0xf3, 0xf5, 0xde, 0x66, 0x6e, 0x7d, 0x30, 0xc4, 0x20, 0x05, 0xda, 0x32, + 0x0f, 0xff, 0x79, 0x71, 0x44, 0x9b, 0x10, 0x0f, 0xf1, 0xbb, 0x31, 0xde, + 0x67, 0x90, 0xea, 0x77, 0xad, 0x65, 0xd7, 0x05, 0x75, 0xab, 0x66, 0xf2, + 0xe6, 0x52, 0xac, 0xf2, 0xaa, 0xa7, 0xd2, 0x45, 0xd9, 0xc6, 0x42, 0x39, + 0x27, 0x1f, 0x46, 0x84, 0xad, 0x78, 0xb4, 0xfa, 0x84, 0xf8, 0x9b, 0x3e, + 0xcb, 0xc1, 0x99, 0xe5, 0x35, 0x42, 0x26, 0x05, 0xea, 0xac, 0x51, 0x04, + 0x4f, 0x8a, 0x98, 0x25, 0xa7, 0x46, 0xab, 0x7b, 0xed, 0xb8, 0xa9, 0x0b, + 0x24, 0x23, 0x83, 0x23, 0x16, 0x87, 0x64, 0x91, 0x0c, 0xbf, 0x1f, 0xbc, + 0xec, 0x4a, 0xdd, 0x12, 0x2b, 0x0c, 0xa9, 0x39, 0x96, 0xc4, 0xc3, 0xcf, + 0xa5, 0x38, 0x40, 0x0d, 0x6e, 0xd0, 0xfa, 0x0a, 0x0c, 0x3e, 0xe9, 0x75, + 0x0b, 0x70, 0x28, 0x68, 0xbc, 0xfd, 0xf6, 0xc2, 0x9a, 0x59, 0x91, 0x20, + 0x5c, 0x70, 0xfe, 0x31, 0xa6, 0x50, 0x87, 0x9a, 0x6a, 0x61, 0x20, 0x2c, + 0x77, 0x84, 0x81, 0xa8, 0x3e, 0xc9, 0xa8, 0x72, 0xb0, 0x53, 0x43, 0x85, + 0x1c, 0x9b, 0x3a, 0xdd, 0xef, 0x09, 0x7d, 0xc7, 0x68, 0xc6, 0xef, 0x08, + 0xce, 0x47, 0xa0, 0xdc, 0x5b, 0xdb, 0x2f, 0x2d, 0x34, 0xe3, 0xde, 0x95, + 0xf6, 0x6b, 0x6d, 0x5d, 0x91, 0xbe, 0x45, 0xee, 0x2d, 0x04, 0x93, 0x78, + 0xc7, 0xa4, 0x49, 0xcc, 0x71, 0xa8, 0x5d, 0xd8, 0x8a, 0x7e, 0x9e, 0x4f, + 0x10, 0xc9, 0x41, 0xd1, 0x62, 0xc1, 0x70, 0x48, 0xb5, 0x12, 0x11, 0x23, + 0xa6, 0xe4, 0xdf, 0x64, 0xac, 0xd9, 0xe4, 0x37, 0xc2, 0xb9, 0x23, 0xa7, + 0x40, 0xea, 0x7f, 0x54, 0xe3, 0xef, 0x71, 0x81, 0xb4, 0xe7, 0x05, 0x10, + 0xd6, 0x2b, 0xd5, 0x11, 0x84, 0x5a, 0x69, 0xa5, 0xac, 0x52, 0x6d, 0xa8, + 0x79, 0x27, 0xff, 0x1c, 0x02, 0xd1, 0x62, 0x36, 0x03, 0xa2, 0xa9, 0x46, + 0x6c, 0x4f, 0xca, 0x58, 0xf2, 0xb2, 0xed, 0x91, 0xb4, 0x9e, 0x5b, 0xdd, + 0xf9, 0x99, 0xb6, 0x8d, 0x70, 0x34, 0x0a, 0xc5, 0x4d, 0xd7, 0xce, 0x8b, + 0xf1, 0x50, 0x25, 0x89, 0xff, 0xe7, 0xf2, 0x1e, 0xb9, 0x21, 0xb3, 0x8b, + 0xc8, 0x42, 0x7c, 0x26, 0xef, 0x4c, 0x30, 0x8d, 0x60, 0xb7, 0x25, 0xfb}; + +static const unsigned char prime_safe_4096[] = { + 0x8b, 0xdf, 0xc1, 0xa3, 0xe4, 0xbd, 0x1c, 0xb1, 0xf4, 0xb1, 0x51, 0xd3, + 0x8a, 0xce, 0x3d, 0x33, 0x58, 0x80, 0xa3, 0x1c, 0x7c, 0x0d, 0xbd, 0x8e, + 0xbd, 0xb3, 0xe7, 0x9e, 0xd4, 0xde, 0x06, 0xfc, 0x98, 0xaf, 0x01, 0x43, + 0x93, 0x2c, 0xfc, 0xfb, 0x92, 0x80, 0xe0, 0x6e, 0xf9, 0xf6, 0xab, 0x73, + 0x96, 0x8d, 0x7e, 0xc0, 0xeb, 0x26, 0x6c, 0x0c, 0x53, 0x06, 0x9f, 0x32, + 0x4b, 0xad, 0x53, 0xd5, 0xbf, 0x91, 0x35, 0x16, 0xfd, 0x7f, 0xba, 0x30, + 0xb6, 0xb4, 0x88, 0x10, 0x1f, 0x5a, 0xc0, 0x62, 0xf9, 0x7f, 0x71, 0x9b, + 0xb5, 0x10, 0x4b, 0x99, 0xd0, 0xf0, 0xe9, 0xc2, 0xee, 0x35, 0x24, 0xeb, + 0xcc, 0xee, 0x06, 0xbf, 0xa0, 0x05, 0xe4, 0x61, 0xa4, 0xa6, 0x98, 0x23, + 0xd0, 0xe4, 0x8a, 0x61, 0xca, 0x05, 0x8a, 0x6c, 0x98, 0xfa, 0x83, 0xc3, + 0x50, 0x7d, 0x55, 0x3b, 0x2e, 0xd5, 0xac, 0x14, 0x61, 0x86, 0xd1, 0xb5, + 0xcf, 0xc0, 0xdc, 0x69, 0x4b, 0x6c, 0x4a, 0xc5, 0xd7, 0xfe, 0xe0, 0xe8, + 0x1a, 0x64, 0x11, 0xdb, 0x56, 0xf0, 0x1c, 0x95, 0x5c, 0xd1, 0x6a, 0xb9, + 0xf6, 0xe2, 0x00, 0xf4, 0x22, 0x03, 0x03, 0x2a, 0xbc, 0x9c, 0x82, 0xeb, + 0x89, 0x1a, 0xdd, 0x94, 0x65, 0x02, 0x44, 0x61, 0x76, 0xc1, 0xae, 0xd8, + 0xca, 0xfd, 0x66, 0xf4, 0x96, 0xe7, 0x79, 0xfe, 0x3a, 0x98, 0xf1, 0x80, + 0x02, 0xfa, 0x42, 0xb7, 0xae, 0xeb, 0x39, 0x28, 0xc3, 0xb9, 0xce, 0x8c, + 0x71, 0xea, 0x14, 0x74, 0x86, 0x6c, 0x26, 0xd5, 0x15, 0x21, 0x97, 0x0c, + 0x82, 0x8d, 0x81, 0x84, 0xc5, 0x47, 0x10, 0x06, 0x67, 0xa8, 0x5f, 0xb1, + 0xc5, 0x32, 0xdc, 0x7f, 0xe6, 0x61, 0xe5, 0xeb, 0x9e, 0xa9, 0x61, 0x99, + 0x43, 0xa9, 0x8b, 0xed, 0xaf, 0xe4, 0x21, 0xef, 0x8e, 0x78, 0x5a, 0x61, + 0x55, 0x9d, 0x43, 0xdb, 0x77, 0xaa, 0xbb, 0x19, 0xea, 0x4f, 0x49, 0x53, + 0x80, 0xce, 0x7c, 0x9a, 0xea, 0xa6, 0x93, 0x58, 0xd4, 0xab, 0xf4, 0xe9, + 0x60, 0x7d, 0xca, 0xb2, 0x97, 0xa5, 0xe0, 0x92, 0xce, 0xec, 0x57, 0xbc, + 0xc5, 0x05, 0x76, 0x11, 0x79, 0x03, 0xe1, 0xb2, 0x99, 0xc1, 0x21, 0xd4, + 0x85, 0xe7, 0x6f, 0xc9, 0x58, 0xe8, 0x1c, 0x0d, 0xc8, 0x90, 0x44, 0x4c, + 0x58, 0x55, 0x9a, 0xee, 0xde, 0x62, 0x0e, 0xb2, 0xe3, 0xbc, 0xeb, 0x51, + 0x40, 0x05, 0x71, 0xfe, 0xb4, 0xe9, 0xe6, 0xf6, 0x0e, 0xd7, 0xbb, 0x1b, + 0xb8, 0x99, 0xe8, 0xc9, 0xda, 0x9f, 0xde, 0x3c, 0x13, 0xd9, 0x16, 0x45, + 0x3d, 0xac, 0xe2, 0x09, 0xc3, 0x87, 0xbb, 0x39, 0x8c, 0x6f, 0x11, 0x60, + 0x87, 0x1f, 0xaf, 0xa7, 0xdc, 0x12, 0x8f, 0x7d, 0x4c, 0x5e, 0x56, 0xc3, + 0x62, 0xdd, 0xdd, 0x03, 0x55, 0x9e, 0x24, 0x6c, 0xc5, 0x6c, 0xb8, 0x0e, + 0xaf, 0x11, 0xd5, 0x1e, 0x6a, 0x36, 0x9c, 0xca, 0x46, 0x34, 0x13, 0x2b, + 0xd1, 0xa3, 0x34, 0x2c, 0x83, 0x1b, 0x25, 0xcc, 0x17, 0x01, 0x9c, 0x68, + 0x53, 0xb7, 0x87, 0xed, 0x0e, 0x48, 0xd7, 0x69, 0xf9, 0xc8, 0x1d, 0x8b, + 0x71, 0xf4, 0x6f, 0xd1, 0xb1, 0xd5, 0x70, 0xa0, 0xd7, 0x71, 0x3d, 0x9f, + 0xfc, 0xfa, 0x35, 0x69, 0x25, 0xf3, 0x39, 0x79, 0xad, 0x7b, 0x01, 0xc5, + 0x66, 0xa5, 0xf0, 0xc7, 0x1c, 0xb6, 0x51, 0xe5, 0x02, 0x2b, 0xcf, 0xc1, + 0x2a, 0x91, 0x9d, 0xa5, 0xbf, 0x37, 0x37, 0xdd, 0x2e, 0x30, 0x40, 0xdb, + 0xbf, 0xec, 0xfe, 0x6c, 0x2c, 0xe9, 0x20, 0xee, 0x89, 0xac, 0x55, 0xaf, + 0x03, 0x5a, 0xba, 0x5a, 0x52, 0xfb, 0xbf, 0xb5, 0xae, 0x38, 0x20, 0xa5, + 0x68, 0x92, 0x5f, 0xec, 0x17, 0xa9, 0x80, 0x53, 0xf2, 0x3b, 0x0c, 0x09, + 0xf3, 0xeb, 0x15, 0x62, 0x8e, 0x39, 0x7b, 0x6b}; + +static const unsigned char prime_safe_6144[] = { + 0xb9, 0x0f, 0xc1, 0x41, 0x4a, 0xde, 0x1a, 0x1c, 0x80, 0xa0, 0xd6, 0x39, + 0x81, 0x10, 0xf3, 0x09, 0xca, 0xc0, 0x60, 0x8c, 0x5e, 0x8c, 0x17, 0x21, + 0xa0, 0x18, 0x50, 0xd6, 0x60, 0x13, 0xfc, 0x38, 0x00, 0x26, 0xd9, 0x71, + 0xd2, 0x73, 0xfc, 0x5d, 0x0c, 0xf1, 0x20, 0xce, 0x76, 0x44, 0xbb, 0x8b, + 0x5c, 0xc8, 0x5a, 0x59, 0x0c, 0xcd, 0x48, 0xba, 0xbf, 0x86, 0x72, 0xda, + 0xf5, 0xbd, 0x7c, 0x1d, 0x41, 0xba, 0xe8, 0x9f, 0x8c, 0xc2, 0x18, 0x27, + 0xfa, 0xbc, 0xc6, 0xcf, 0xd8, 0x47, 0xf5, 0xe9, 0x71, 0xcc, 0x37, 0x34, + 0xc3, 0x9b, 0x5a, 0xff, 0xc3, 0x0c, 0xab, 0x1d, 0x97, 0x8c, 0x26, 0x95, + 0x8c, 0xf1, 0x0a, 0x5d, 0x22, 0x84, 0x5a, 0x7c, 0xf2, 0xd1, 0x8b, 0x7c, + 0x6f, 0x17, 0x09, 0x13, 0x00, 0xc9, 0xdf, 0x79, 0xe1, 0x6e, 0xc8, 0xf8, + 0xd3, 0xc1, 0xdd, 0xb2, 0xf4, 0x24, 0x2a, 0xfa, 0x5c, 0x66, 0x25, 0x2b, + 0x39, 0xd1, 0x39, 0x48, 0xfa, 0x76, 0x4f, 0x57, 0xa3, 0x20, 0xc3, 0x38, + 0x2e, 0x85, 0x67, 0x31, 0x92, 0x85, 0x3c, 0x70, 0x23, 0x14, 0xec, 0x6c, + 0x85, 0x28, 0xe0, 0x4f, 0xcc, 0xc6, 0x3b, 0xcf, 0x19, 0x30, 0x3b, 0x01, + 0xfe, 0x9e, 0x16, 0x65, 0x1c, 0xf4, 0x31, 0x0c, 0x9d, 0x23, 0x40, 0x85, + 0x6c, 0xdd, 0xe5, 0xf7, 0x90, 0x25, 0x69, 0x7a, 0x3c, 0xd6, 0xe4, 0x42, + 0x6c, 0x87, 0x04, 0x06, 0xa7, 0x82, 0x1d, 0xfc, 0x5e, 0xd9, 0x03, 0x60, + 0x20, 0x9a, 0x5c, 0x6a, 0xfe, 0x53, 0x0d, 0x05, 0x92, 0x1b, 0xa1, 0xdb, + 0xfa, 0x01, 0x2f, 0x84, 0x89, 0xe0, 0x56, 0x66, 0x7e, 0xe3, 0xe6, 0x99, + 0x4d, 0xb3, 0xd2, 0xf0, 0xce, 0xf3, 0xdf, 0x05, 0x0d, 0x57, 0x42, 0xcd, + 0xfc, 0x06, 0x3c, 0xe7, 0x11, 0x34, 0x7f, 0x51, 0x8e, 0xb7, 0x24, 0x01, + 0xe3, 0x26, 0x47, 0xe7, 0xd1, 0x57, 0x0e, 0x0e, 0xf1, 0x12, 0xc5, 0x79, + 0x2d, 0x87, 0x0f, 0xb1, 0x19, 0x6a, 0xd7, 0x44, 0x33, 0x46, 0x4c, 0xbc, + 0xc5, 0xc6, 0x24, 0xf8, 0x7c, 0x7a, 0x61, 0xfe, 0x72, 0x95, 0x21, 0xcd, + 0xd1, 0x3a, 0xd3, 0x5d, 0x77, 0x76, 0xbd, 0x86, 0xd8, 0xbd, 0x8e, 0x5e, + 0xf2, 0xe5, 0x20, 0x01, 0xd9, 0xb4, 0x47, 0xf7, 0x1c, 0x51, 0x70, 0x39, + 0x6a, 0xc7, 0xea, 0xed, 0x90, 0xd7, 0xc4, 0xd3, 0xcd, 0x8e, 0x4b, 0xd8, + 0x11, 0xf0, 0xd3, 0x66, 0x36, 0x77, 0xe2, 0x16, 0x13, 0xbd, 0xd2, 0x54, + 0x4a, 0x1c, 0x61, 0x54, 0x88, 0x1a, 0x69, 0x85, 0x9f, 0x5d, 0xc5, 0xb7, + 0x62, 0x7e, 0x72, 0x0a, 0x89, 0x90, 0x24, 0x8f, 0x39, 0xb2, 0xf2, 0xb6, + 0x12, 0x8e, 0x50, 0xb4, 0xd3, 0xea, 0xc3, 0xac, 0xea, 0x8d, 0x27, 0x17, + 0xbd, 0x07, 0xd2, 0x15, 0x80, 0x49, 0xe0, 0x97, 0x41, 0x16, 0xd6, 0x3b, + 0x24, 0xe8, 0x8b, 0xfd, 0xa3, 0x18, 0xbd, 0x52, 0x5d, 0xe2, 0x21, 0xce, + 0x7c, 0x6f, 0x10, 0x38, 0x70, 0x64, 0xc4, 0x15, 0xf3, 0x28, 0xc6, 0x66, + 0xfc, 0xd1, 0x22, 0x04, 0x80, 0x80, 0xc6, 0xc5, 0x75, 0xf5, 0xdc, 0xb0, + 0x40, 0x4b, 0x12, 0xfa, 0xdb, 0xd5, 0x36, 0xcd, 0x31, 0xab, 0xd7, 0x1d, + 0x18, 0x07, 0x9d, 0x09, 0x9b, 0x16, 0xa0, 0xfe, 0x1e, 0x6f, 0x3f, 0x34, + 0x5a, 0xe6, 0x70, 0x85, 0x98, 0x30, 0xd4, 0x94, 0xc5, 0xf0, 0x36, 0x35, + 0xa1, 0xed, 0x46, 0x63, 0x3c, 0x0f, 0xcf, 0xc5, 0x9e, 0x7c, 0x68, 0x25, + 0x64, 0x93, 0x30, 0x36, 0x38, 0xb1, 0x99, 0x6c, 0x37, 0xf5, 0xcf, 0x64, + 0x4b, 0xef, 0xa6, 0xff, 0x6a, 0xaa, 0xaa, 0xb6, 0x29, 0xed, 0x38, 0x80, + 0x1f, 0x58, 0x35, 0x88, 0x3f, 0x01, 0x1c, 0xc8, 0x23, 0x48, 0x37, 0xa7, + 0xd2, 0xb1, 0xb1, 0xee, 0x44, 0x59, 0x0a, 0xfb, 0x05, 0xd9, 0xe1, 0x5b, + 0x53, 0x34, 0x9d, 0x99, 0x30, 0x28, 0xa9, 0x3b, 0x8e, 0x1b, 0xac, 0x8a, + 0x90, 0x91, 0xc9, 0x71, 0x8a, 0xea, 0xb9, 0x11, 0xd5, 0x67, 0x87, 0x4f, + 0xdb, 0x27, 0x4f, 0x7f, 0xb8, 0x54, 0x7f, 0x5e, 0x18, 0x08, 0xf7, 0xf3, + 0x1c, 0x02, 0x3a, 0x04, 0xde, 0xcc, 0x10, 0x06, 0x7e, 0x15, 0xc3, 0x24, + 0x0c, 0xdf, 0x0d, 0xf8, 0x86, 0xc0, 0x4c, 0xab, 0x0f, 0x75, 0x04, 0xbe, + 0xf3, 0x90, 0x28, 0xd1, 0x22, 0x17, 0x96, 0xcc, 0x29, 0x11, 0x09, 0xa7, + 0x53, 0x42, 0xea, 0x91, 0x51, 0xaf, 0x55, 0xa1, 0x03, 0x67, 0x78, 0x63, + 0xb3, 0xb0, 0x0f, 0x59, 0x5d, 0x37, 0xe7, 0x30, 0x8b, 0xca, 0xa0, 0x45, + 0x12, 0x7a, 0xa5, 0x09, 0xfb, 0xa6, 0x99, 0xdd, 0xf7, 0xe9, 0x30, 0x5a, + 0xc2, 0x9d, 0x0d, 0xdf, 0x39, 0x99, 0x25, 0x0d, 0xb2, 0x57, 0xb6, 0x78, + 0x02, 0x30, 0xf8, 0x86, 0xde, 0x79, 0xb4, 0xbe, 0x3e, 0x53, 0xff, 0x74, + 0x0f, 0x4d, 0x30, 0x2d, 0xe6, 0x57, 0x4a, 0x57, 0x53, 0x3a, 0x0b, 0x19, + 0x86, 0xab, 0x90, 0xe5, 0x33, 0x84, 0x53, 0x7a, 0x17, 0xc5, 0xf1, 0x8c, + 0xc3, 0xe4, 0x11, 0x53, 0x2b, 0xb5, 0xb4, 0x8e, 0xe6, 0xd2, 0x04, 0x43, + 0x5b, 0x6a, 0x30, 0xc7, 0xca, 0xaf, 0x91, 0xc0, 0x76, 0x43, 0x86, 0x65, + 0xee, 0xcd, 0x82, 0xbe, 0xa2, 0xd8, 0x2d, 0xad, 0xeb, 0xb5, 0x1a, 0xb5, + 0xbf, 0xa1, 0xe7, 0x93, 0x50, 0x15, 0x08, 0x27, 0x27, 0x3c, 0xcc, 0x53, + 0x82, 0x67, 0xd4, 0xf2, 0x0d, 0x26, 0x60, 0x87, 0x05, 0x2e, 0xaa, 0x62, + 0x55, 0xcc, 0x9a, 0xee, 0x2c, 0x20, 0x23, 0x14, 0xfa, 0x5c, 0x29, 0x41, + 0xe1, 0x89, 0x83, 0x19, 0xc1, 0x36, 0x8c, 0xa4, 0x91, 0xf6, 0x40, 0x37, + 0x70, 0x2a, 0x0d, 0x82, 0xbb, 0x56, 0x6e, 0x23, 0x34, 0xb9, 0x6e, 0x33}; + +static const unsigned char prime_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x73}; + +/* Weak primes with value subprimes. Accepted, but takes more processing + * in both modes. */ +static const unsigned char prime_weak_1024[] = { + 0xe4, 0x82, 0x09, 0x4a, 0x6b, 0xbe, 0x9b, 0x51, 0x11, 0xa0, 0x74, 0x25, + 0xff, 0x50, 0x1c, 0x0a, 0xd6, 0xd0, 0xbc, 0xd3, 0x24, 0x89, 0x75, 0x74, + 0xb3, 0xd6, 0x6b, 0xf4, 0xc7, 0x5f, 0x6a, 0xec, 0x1e, 0x3a, 0x20, 0x02, + 0x16, 0x75, 0xcc, 0x44, 0x4a, 0xbf, 0x5b, 0x58, 0xad, 0xfe, 0xb0, 0x18, + 0x6a, 0x38, 0x8b, 0xcb, 0xdb, 0xd1, 0x77, 0x42, 0xe3, 0xa3, 0x87, 0x8a, + 0x99, 0x2e, 0x11, 0xd8, 0xc9, 0x02, 0x84, 0x1d, 0xd2, 0x67, 0x28, 0xbd, + 0x8f, 0xfb, 0x56, 0xf2, 0x63, 0x8a, 0x2c, 0x7c, 0x38, 0xef, 0xa2, 0x0c, + 0x6a, 0x36, 0xd0, 0x99, 0x13, 0x47, 0x48, 0x40, 0xe5, 0xcd, 0xdb, 0x04, + 0x4c, 0xa2, 0x12, 0x3f, 0x1a, 0x9b, 0x9a, 0x0e, 0xb8, 0x68, 0x7d, 0x01, + 0xbc, 0x16, 0x6f, 0x51, 0x64, 0x1d, 0xab, 0x21, 0x75, 0x49, 0x12, 0x36, + 0xac, 0x65, 0x8b, 0xf8, 0x87, 0xd9, 0xaf, 0xd1}; + +static const unsigned char subprime_weak_1024[] = { + 0xef, 0x0c, 0x17, 0x60, 0xd1, 0x91, 0x8f, 0xea, 0x4d, 0xbe, + 0x0a, 0xb2, 0x37, 0xcc, 0x6b, 0xba, 0x97, 0x98, 0x2d, 0x4b}; + +static const unsigned char base_weak_1024[] = { + 0x5a, 0x70, 0x8b, 0xe1, 0x1d, 0xed, 0x69, 0x04, 0xd0, 0xdc, 0xda, 0x84, + 0x9e, 0x79, 0x56, 0x11, 0x44, 0xdc, 0xf7, 0xb8, 0x84, 0x88, 0x75, 0x67, + 0xba, 0x80, 0x5b, 0x7e, 0x50, 0xc1, 0x5c, 0x80, 0x59, 0xaa, 0x55, 0x24, + 0x44, 0x6a, 0x8a, 0x31, 0x20, 0x1a, 0xd4, 0xba, 0x5f, 0x32, 0xc6, 0x5d, + 0x9d, 0x0e, 0x58, 0xfc, 0xd0, 0x6c, 0x74, 0xea, 0xd9, 0xc6, 0x86, 0x9f, + 0x3f, 0x83, 0x0e, 0x73, 0xae, 0x28, 0x40, 0x19, 0x9f, 0x5d, 0x64, 0xc4, + 0xae, 0xda, 0x11, 0x3e, 0x3f, 0x44, 0x87, 0xac, 0x41, 0x1e, 0xfa, 0xdb, + 0x1f, 0xde, 0x09, 0x7c, 0x54, 0x7c, 0x8a, 0xe0, 0x82, 0xd7, 0x8c, 0xb9, + 0x61, 0xa0, 0x10, 0xab, 0xff, 0xe1, 0x1f, 0x8b, 0x9d, 0x51, 0x71, 0xc7, + 0xfb, 0xd9, 0xe0, 0x10, 0xc3, 0x7d, 0x88, 0xe9, 0xd2, 0x42, 0xaf, 0xda, + 0x77, 0x55, 0x28, 0x07, 0x03, 0x26, 0xb3, 0x77}; + +static const unsigned char prime_weak_2048[] = { + 0xb5, 0x08, 0x83, 0x6a, 0x22, 0x39, 0xdf, 0x02, 0xfe, 0x73, 0x6b, 0xfb, + 0x0d, 0x4e, 0xad, 0x4b, 0x0f, 0xfd, 0xb2, 0x27, 0xe7, 0xd2, 0x35, 0xd4, + 0x83, 0xf2, 0xbc, 0x29, 0xff, 0x50, 0xf7, 0x6b, 0xb7, 0x94, 0x38, 0xff, + 0xdc, 0x79, 0x67, 0x9a, 0x80, 0x8b, 0xc2, 0x20, 0x4e, 0x53, 0x02, 0x2a, + 0x07, 0xec, 0xa9, 0xbd, 0x22, 0xd1, 0xba, 0x35, 0x31, 0x10, 0x21, 0xb6, + 0x4f, 0xe1, 0x94, 0x0b, 0xb0, 0xb3, 0x37, 0x20, 0x0d, 0x6a, 0xd4, 0x91, + 0x5c, 0x85, 0xe9, 0xae, 0x8a, 0xf2, 0x94, 0xe7, 0x44, 0xf5, 0xcc, 0x04, + 0x82, 0x57, 0x81, 0x21, 0x83, 0x18, 0x48, 0x2d, 0xe3, 0x1c, 0xa1, 0x7f, + 0xee, 0x10, 0xb9, 0xe8, 0x40, 0xfc, 0xda, 0x43, 0x7d, 0x18, 0xe4, 0x68, + 0x9f, 0xed, 0x5e, 0xc3, 0x1f, 0x80, 0xef, 0x5c, 0x24, 0x5e, 0x68, 0xac, + 0x99, 0x9c, 0x74, 0x96, 0x5b, 0xb3, 0xe7, 0xb2, 0x65, 0x78, 0xfb, 0x3c, + 0x11, 0x00, 0x04, 0x4b, 0x98, 0x0e, 0x8a, 0x7b, 0x38, 0x08, 0x34, 0xb9, + 0x6d, 0x08, 0x65, 0x17, 0x91, 0x49, 0x62, 0x47, 0x64, 0xab, 0xc6, 0xd0, + 0xf2, 0xcf, 0x89, 0x07, 0xeb, 0xa3, 0x5d, 0xf3, 0xa2, 0xfb, 0xdd, 0x7b, + 0x3e, 0x7e, 0xa2, 0xd7, 0x1a, 0x42, 0xad, 0x74, 0xbd, 0xbb, 0xcf, 0x21, + 0x91, 0xd2, 0x6b, 0x1d, 0x9d, 0xa8, 0x05, 0x88, 0x4f, 0xb1, 0x45, 0xa2, + 0x86, 0x90, 0x12, 0xfd, 0xcb, 0x25, 0xe1, 0x12, 0x08, 0x47, 0x1d, 0x83, + 0x2d, 0x14, 0x42, 0x20, 0x08, 0x31, 0x54, 0x2c, 0x9b, 0x49, 0xf6, 0xb6, + 0x2d, 0x25, 0xea, 0x28, 0xbf, 0x13, 0x2b, 0xd3, 0x45, 0x8d, 0x02, 0x9f, + 0xa5, 0xaa, 0xeb, 0xc0, 0x48, 0xd1, 0x06, 0xe6, 0x1e, 0xa0, 0x3e, 0x04, + 0x20, 0x79, 0x7c, 0xd1, 0xd0, 0xac, 0x61, 0x89, 0x6c, 0x3b, 0x88, 0xa3, + 0x54, 0x6c, 0x80, 0x59}; + +static const unsigned char subprime_weak_2048[] = { + 0xcd, 0x9d, 0xbf, 0x88, 0xe5, 0xc0, 0x03, 0x16, 0xec, 0x9c, 0xb4, + 0x6e, 0x54, 0xd2, 0xbf, 0xdc, 0x05, 0x92, 0xcd, 0x05, 0x87, 0xc9, + 0x9c, 0x91, 0x19, 0x54, 0xb6, 0xd7, 0x1e, 0xe1, 0x0a, 0x93}; + +static const unsigned char base_weak_2048[] = { + 0x36, 0xc6, 0x6e, 0x3e, 0xe8, 0x44, 0xa0, 0x57, 0x1d, 0x8e, 0x71, 0xb6, + 0x6c, 0x24, 0xf6, 0x1d, 0xb6, 0xa5, 0xfd, 0xe3, 0xd6, 0xc5, 0x6b, 0xe8, + 0x94, 0x5a, 0x8c, 0x5a, 0xdf, 0x41, 0x51, 0xe6, 0xfb, 0x76, 0x4b, 0x06, + 0x4b, 0x03, 0x33, 0x98, 0x15, 0xb5, 0x60, 0x43, 0xc7, 0xc5, 0xb3, 0x4d, + 0x58, 0x90, 0xe8, 0x63, 0xc5, 0xad, 0x5f, 0x57, 0xcf, 0x42, 0x26, 0x99, + 0xa0, 0x71, 0xc6, 0x73, 0x03, 0xa0, 0x45, 0xd0, 0x87, 0xf0, 0xd8, 0x9a, + 0xb2, 0x7d, 0xd7, 0x2d, 0x10, 0x52, 0x04, 0x36, 0x37, 0x4f, 0x9d, 0xb7, + 0x66, 0xdc, 0xf5, 0x76, 0xac, 0x87, 0xfe, 0x5a, 0x9d, 0xca, 0x1e, 0xfb, + 0x6f, 0x7f, 0xfd, 0x9a, 0xaa, 0x12, 0xcf, 0x7a, 0xdb, 0x15, 0xf3, 0xb2, + 0x7b, 0x17, 0xb9, 0xaf, 0x5f, 0xdf, 0x9c, 0x66, 0x29, 0x83, 0x89, 0xf9, + 0xf9, 0xf7, 0x4a, 0x04, 0x1d, 0x00, 0xf7, 0x11, 0x98, 0x18, 0x0a, 0xab, + 0x47, 0xcc, 0x3e, 0x11, 0xf4, 0xe0, 0x7e, 0xad, 0xa5, 0x67, 0xf8, 0x4b, + 0x1b, 0x81, 0x72, 0x8e, 0x5b, 0x49, 0x90, 0x0e, 0x01, 0xc1, 0x7e, 0x8d, + 0xfb, 0xa2, 0xe7, 0x92, 0xd0, 0x23, 0xf5, 0x4a, 0xe8, 0xd4, 0x51, 0xc4, + 0x89, 0xe8, 0x4a, 0x9f, 0xf6, 0xa2, 0xdc, 0xe2, 0x32, 0x88, 0x56, 0x2c, + 0x97, 0x38, 0xdf, 0xd6, 0x4f, 0xfb, 0xf8, 0xbb, 0xee, 0x7a, 0x3a, 0x05, + 0xa2, 0x7f, 0xbb, 0x6d, 0xf6, 0xd6, 0x48, 0xf4, 0x6d, 0x23, 0xb3, 0x93, + 0x7c, 0xfb, 0xd4, 0x8c, 0xa0, 0x58, 0xbc, 0xdf, 0x1b, 0x35, 0x2a, 0x56, + 0x80, 0x7c, 0xc6, 0x28, 0x35, 0xb6, 0x17, 0x5d, 0xa5, 0x15, 0x79, 0x7d, + 0x2c, 0x6a, 0xcf, 0xb1, 0xb1, 0x6e, 0xea, 0xd0, 0x4b, 0xfb, 0xa5, 0xbb, + 0xb7, 0x9f, 0x74, 0x42, 0xd5, 0xf3, 0x4b, 0x54, 0x40, 0xf0, 0x4c, 0x6b, + 0x0f, 0xaf, 0x89, 0x10}; + +static const unsigned char prime_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2d}; + +static const unsigned char subprime_weak_3072[] = { + 0xd6, 0xf6, 0xeb, 0x1e, 0x65, 0x44, 0xe1, 0x1a, 0x37, 0x69, 0x8c, + 0x60, 0x45, 0xcb, 0xcb, 0x52, 0xe4, 0x88, 0xcb, 0xad, 0xb2, 0x27, + 0x18, 0xfa, 0x3a, 0xcf, 0xc6, 0xf9, 0xc3, 0x03, 0xa8, 0xb9}; + +static const unsigned char base_weak_3072[] = { + 0x6e, 0x65, 0xcd, 0xd8, 0xbf, 0x8a, 0x5a, 0xa1, 0x05, 0x62, 0xa2, 0x64, + 0x88, 0x4a, 0x49, 0x1b, 0x57, 0xa8, 0x0e, 0x2e, 0x28, 0x4a, 0xe3, 0xaa, + 0xa7, 0x4e, 0xc7, 0x06, 0xe2, 0xf8, 0x9c, 0xd7, 0x05, 0x05, 0x6e, 0x5b, + 0x89, 0xd5, 0xa1, 0x16, 0xda, 0x2a, 0x2f, 0xe6, 0x86, 0xf0, 0x6e, 0xdc, + 0xd0, 0xbc, 0x0b, 0x39, 0x90, 0xe3, 0x74, 0x2c, 0x02, 0x6f, 0x7e, 0x32, + 0x2d, 0xf6, 0xd7, 0xa2, 0xfb, 0xe9, 0xaf, 0x8b, 0xb3, 0x1c, 0xd0, 0x78, + 0x4a, 0x76, 0xf8, 0xbd, 0x03, 0x5b, 0x0c, 0x68, 0x65, 0x23, 0x8a, 0x45, + 0xf3, 0x51, 0xe0, 0xe1, 0x96, 0x57, 0x7e, 0x05, 0x6c, 0xae, 0xaf, 0xa6, + 0x45, 0xdc, 0xa8, 0x36, 0x69, 0xa5, 0x13, 0x37, 0x4a, 0x16, 0x43, 0x11, + 0xab, 0x5b, 0xb6, 0xcf, 0x86, 0xb6, 0xf8, 0x44, 0xb9, 0x76, 0xe7, 0x1e, + 0x88, 0x99, 0x6f, 0xfe, 0xfb, 0x5c, 0xdb, 0x59, 0x4c, 0x26, 0xdb, 0x20, + 0x20, 0x97, 0x47, 0xda, 0x7b, 0x1d, 0xe9, 0x18, 0x1a, 0x89, 0x07, 0x3b, + 0xd1, 0xc8, 0x4c, 0xfd, 0xae, 0x35, 0x4c, 0xa0, 0x42, 0x94, 0x89, 0xc0, + 0xae, 0x2f, 0x94, 0x49, 0xd9, 0x7d, 0xb2, 0x4c, 0x50, 0x29, 0x46, 0x14, + 0x9a, 0x56, 0x49, 0x7a, 0x09, 0xa8, 0x95, 0x3a, 0x94, 0x06, 0x7c, 0xf0, + 0xea, 0x39, 0xcb, 0x33, 0xad, 0x28, 0xd1, 0x55, 0x02, 0xf5, 0x46, 0x0c, + 0x92, 0x12, 0x17, 0x05, 0x60, 0x97, 0xcd, 0x2f, 0x18, 0x5e, 0xe3, 0x41, + 0xe6, 0x46, 0x69, 0x27, 0x7d, 0x61, 0x00, 0x1e, 0x8d, 0x74, 0xa5, 0xc5, + 0xcb, 0xb9, 0xbc, 0x3f, 0x7a, 0x21, 0x23, 0x22, 0x1b, 0x15, 0x50, 0xb9, + 0x4b, 0x3b, 0x9f, 0xd5, 0xc0, 0x8c, 0xb9, 0x9d, 0x7e, 0xf4, 0x13, 0xc9, + 0x64, 0xe3, 0x7b, 0x44, 0xa7, 0x10, 0xad, 0x3c, 0xaf, 0xf0, 0x07, 0x8d, + 0x04, 0xc9, 0xa9, 0x36, 0x10, 0xb9, 0x8d, 0x7d, 0x43, 0x24, 0x7d, 0x8d, + 0x3c, 0x74, 0x58, 0x02, 0xb9, 0x4b, 0xe6, 0x6c, 0xa9, 0x9f, 0xdc, 0x50, + 0x5f, 0x62, 0x68, 0xc7, 0x14, 0xe7, 0x88, 0x33, 0x3e, 0x41, 0xad, 0x92, + 0x9d, 0x15, 0xd4, 0x77, 0xb9, 0xfb, 0x18, 0xd2, 0x8b, 0xb3, 0xc4, 0x0f, + 0x26, 0x04, 0xa4, 0xb1, 0xc1, 0x83, 0x96, 0x17, 0x67, 0x52, 0xa5, 0xfb, + 0x1b, 0x70, 0x20, 0x1c, 0x8c, 0x24, 0xc4, 0x5c, 0xd7, 0xe2, 0x12, 0xe3, + 0x31, 0x10, 0x4e, 0x85, 0xc2, 0xd2, 0x63, 0x3a, 0x75, 0xe0, 0x9e, 0x6f, + 0x78, 0x19, 0xb0, 0x40, 0x03, 0x32, 0x75, 0x6f, 0xea, 0x2f, 0x90, 0xb2, + 0x48, 0x79, 0xa1, 0xa0, 0x61, 0xf6, 0x13, 0xf3, 0x50, 0xa9, 0xec, 0x90, + 0x5d, 0xae, 0x45, 0x4f, 0x1b, 0x80, 0xd3, 0x96, 0x62, 0x05, 0x5b, 0x53, + 0x63, 0x99, 0xe5, 0xf2, 0x1b, 0xeb, 0x3e, 0x25, 0x2e, 0x72, 0xdb, 0x1f}; + +static const unsigned char prime_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +static const unsigned char subprime_weak_4096[] = { + 0xcf, 0xd9, 0x38, 0x6d, 0x5b, 0x8d, 0x82, 0x9d, 0xa8, 0xe7, 0x9f, + 0x21, 0x46, 0xcc, 0x15, 0xea, 0x61, 0x31, 0x13, 0x5d, 0x50, 0xcd, + 0x99, 0x26, 0xf9, 0x44, 0x28, 0x44, 0xc8, 0xae, 0xb7, 0x8f}; + +static const unsigned char base_weak_4096[] = { + 0x55, 0xa1, 0x9d, 0x92, 0x16, 0x3d, 0x9c, 0xfa, 0xd7, 0x7c, 0x71, 0xea, + 0x29, 0x53, 0x9b, 0xdc, 0x8e, 0xa6, 0xbb, 0x06, 0xd5, 0x00, 0x5d, 0x6c, + 0x8e, 0x5d, 0x44, 0xb9, 0x13, 0x4b, 0x20, 0x92, 0x6d, 0x39, 0x9d, 0x34, + 0xaf, 0x9b, 0x12, 0x1d, 0xc5, 0xea, 0xb2, 0x89, 0x05, 0xa6, 0x49, 0x9f, + 0xd8, 0xf4, 0xba, 0x33, 0xab, 0x28, 0xf2, 0x2f, 0xf6, 0x49, 0x37, 0x0e, + 0xb2, 0xc6, 0x41, 0x8c, 0x91, 0x97, 0x07, 0xf8, 0xa3, 0x88, 0x12, 0x6b, + 0xe8, 0x85, 0x0e, 0x26, 0x0a, 0x79, 0xe2, 0x48, 0x1c, 0x5c, 0xee, 0x99, + 0x4b, 0xd1, 0xf7, 0xe8, 0xff, 0xae, 0x5b, 0xd1, 0xf4, 0x5e, 0x6a, 0x09, + 0xc2, 0xa0, 0xc3, 0x14, 0xe3, 0xc6, 0x25, 0x3e, 0xe4, 0xff, 0xd7, 0x38, + 0xb4, 0xf4, 0xda, 0xab, 0xde, 0x84, 0x08, 0xd3, 0x53, 0xce, 0xb9, 0x5f, + 0x41, 0x4a, 0x02, 0x9f, 0xe1, 0x90, 0x3a, 0x80, 0x2f, 0xc5, 0xbb, 0xcc, + 0x92, 0xa8, 0x76, 0xa4, 0x78, 0x32, 0x70, 0x50, 0x21, 0x54, 0x4a, 0x97, + 0x4b, 0x8f, 0x2f, 0x61, 0x66, 0x65, 0x57, 0x2e, 0xf3, 0x64, 0x0e, 0x7e, + 0xa0, 0xf7, 0xf7, 0x5a, 0x32, 0xd9, 0x88, 0xf7, 0x4c, 0x4b, 0xd6, 0x5a, + 0xe1, 0x82, 0xd7, 0x6e, 0x4d, 0xee, 0xa2, 0xf0, 0x4e, 0x3f, 0x26, 0xba, + 0xfa, 0xfb, 0xe2, 0x1d, 0x64, 0x19, 0x10, 0x77, 0x99, 0xf4, 0x02, 0x46, + 0x30, 0xb0, 0xb1, 0x4b, 0xb2, 0xbd, 0x2c, 0xd4, 0xf8, 0xf2, 0x7f, 0xaf, + 0xd6, 0x80, 0xa4, 0x16, 0x72, 0x39, 0x0b, 0x83, 0x7d, 0x1a, 0x03, 0xcf, + 0x0c, 0xdc, 0xaa, 0x9c, 0x21, 0x61, 0xef, 0x12, 0x92, 0xc5, 0x71, 0x50, + 0x7f, 0x66, 0xda, 0x28, 0x50, 0xfa, 0x18, 0x33, 0xb8, 0x86, 0x50, 0x1a, + 0x8e, 0x6b, 0x6f, 0xd3, 0xe2, 0x7d, 0x6e, 0x3f, 0x6d, 0x9b, 0x26, 0x33, + 0x98, 0x82, 0x95, 0x2a, 0xdf, 0x11, 0xf8, 0xb6, 0x05, 0x10, 0x3d, 0x39, + 0x23, 0x28, 0x4a, 0x35, 0x72, 0xc4, 0x7f, 0x47, 0x5a, 0x0b, 0xcb, 0xed, + 0x54, 0xd3, 0x81, 0xdf, 0xd7, 0x0c, 0xf6, 0xbe, 0xca, 0x8e, 0xac, 0x22, + 0x67, 0xd4, 0xf9, 0xcb, 0xaf, 0xe6, 0x42, 0x58, 0x97, 0x0f, 0x24, 0xdf, + 0xb8, 0x85, 0xbe, 0x34, 0xd7, 0x68, 0xfa, 0xbf, 0xc5, 0xcb, 0x61, 0x8b, + 0xbf, 0xa8, 0xf7, 0x64, 0xee, 0xf3, 0x8d, 0xf7, 0x5b, 0x6e, 0xe8, 0x07, + 0xa0, 0x6d, 0xb5, 0x75, 0xa2, 0x33, 0x1f, 0xe0, 0x3e, 0x82, 0xc0, 0xef, + 0xeb, 0x6a, 0x8a, 0xba, 0x87, 0xb4, 0x44, 0x66, 0xb2, 0xe7, 0x06, 0xa5, + 0x5a, 0x02, 0x26, 0xa7, 0x8d, 0x57, 0xa7, 0x28, 0x62, 0x20, 0x0e, 0x3b, + 0xff, 0x90, 0xca, 0x9e, 0x95, 0xdf, 0xf3, 0x63, 0x8c, 0xc0, 0xd6, 0x1b, + 0xaa, 0x5e, 0x66, 0x54, 0xb2, 0x77, 0x4d, 0xd4, 0xd3, 0x99, 0xeb, 0xba, + 0xc1, 0x3c, 0xe3, 0xf7, 0x48, 0x65, 0x9f, 0xb3, 0x0c, 0x96, 0x3f, 0x3b, + 0x2f, 0x10, 0x80, 0x8f, 0x59, 0x49, 0xa0, 0x26, 0x68, 0xf9, 0x8e, 0x0b, + 0x66, 0x6e, 0xc1, 0x57, 0x77, 0x5d, 0xc7, 0x4b, 0x3b, 0x73, 0xa7, 0x75, + 0x80, 0x0d, 0x93, 0x36, 0x62, 0xf5, 0x5f, 0xa0, 0x71, 0x72, 0x54, 0x33, + 0x3b, 0xc8, 0xee, 0x68, 0x70, 0xdc, 0x1e, 0x39, 0x04, 0x1e, 0x98, 0xd4, + 0x7f, 0x57, 0x0e, 0x5d, 0x6e, 0x3f, 0x27, 0xc1, 0x7d, 0x50, 0x13, 0x5b, + 0x31, 0xfe, 0x7b, 0x12, 0xd5, 0x42, 0xda, 0x8d, 0x0e, 0x69, 0xcc, 0xa1, + 0xc4, 0x90, 0xf5, 0x37, 0x13, 0x20, 0x42, 0x74, 0xea, 0x79, 0xde, 0x84, + 0x6d, 0x8e, 0xcf, 0x57, 0x0b, 0x9f, 0xa6, 0x1d, 0xbe, 0x42, 0xb2, 0x47, + 0xf8, 0x7e, 0x51, 0x2e, 0x8b, 0x5e, 0x7d, 0x3d, 0x98, 0x1e, 0x43, 0x2b, + 0x32, 0x2f, 0xcb, 0x64, 0xd9, 0x43, 0x2b, 0xae}; + +static const unsigned char prime_weak_6144[] = { + 0xa2, 0x24, 0x96, 0xb6, 0x21, 0x68, 0xd5, 0x7e, 0x2c, 0x60, 0x4d, 0xc8, + 0x81, 0x59, 0x9c, 0x1c, 0x70, 0xec, 0x24, 0x28, 0xb6, 0x52, 0x36, 0x09, + 0x87, 0xaa, 0xc1, 0x5b, 0xe5, 0xa6, 0x3e, 0x88, 0x54, 0x05, 0xe3, 0x09, + 0x09, 0xca, 0x6d, 0x9b, 0xc4, 0x8d, 0x26, 0xaf, 0xd7, 0xee, 0x9f, 0x0d, + 0xbd, 0x44, 0x8e, 0xfe, 0xcd, 0xf2, 0xe6, 0xde, 0xac, 0xf2, 0x02, 0x37, + 0xdc, 0x35, 0xc2, 0xce, 0xcd, 0x5f, 0xc5, 0x87, 0x0f, 0x99, 0xa7, 0xdb, + 0x0f, 0x1a, 0xcd, 0x76, 0xaa, 0x4a, 0xa5, 0x09, 0x60, 0x60, 0xe3, 0x58, + 0xe4, 0x52, 0x07, 0x1b, 0x42, 0x17, 0x11, 0x50, 0x2b, 0x40, 0x95, 0x8d, + 0x48, 0xa0, 0x34, 0x95, 0x25, 0x38, 0xcf, 0x09, 0x94, 0xe6, 0x55, 0x06, + 0x8a, 0xde, 0xdc, 0x41, 0x4a, 0xd9, 0x1f, 0x80, 0x82, 0x1d, 0xb8, 0x1e, + 0x84, 0x60, 0xde, 0xed, 0x4f, 0xc0, 0xd8, 0x1d, 0x54, 0xda, 0xb3, 0xf3, + 0x0e, 0x54, 0x3f, 0x18, 0x88, 0xff, 0x25, 0x31, 0xc6, 0x16, 0xe6, 0x70, + 0xfa, 0xc4, 0x08, 0xfc, 0x00, 0x8b, 0xf6, 0x9d, 0x29, 0x8a, 0x59, 0x49, + 0xed, 0x5c, 0x34, 0x7a, 0x84, 0x79, 0x40, 0xc1, 0x7e, 0x82, 0x17, 0x36, + 0xc8, 0x96, 0xb5, 0xd2, 0xf9, 0xdb, 0xc0, 0x10, 0x9f, 0xf8, 0x95, 0x35, + 0x6f, 0xb0, 0xb9, 0x48, 0x88, 0xdc, 0xf0, 0x4d, 0x30, 0xcd, 0x15, 0xfd, + 0x2f, 0xba, 0x18, 0xcc, 0x94, 0x50, 0x3f, 0xfe, 0x60, 0x3d, 0x7a, 0x46, + 0xef, 0xc4, 0xcd, 0x14, 0xe0, 0xef, 0x97, 0x81, 0xa1, 0x95, 0xe3, 0xa5, + 0x91, 0x9a, 0xf7, 0x9f, 0x7c, 0xfa, 0x0c, 0x69, 0xb6, 0xdf, 0xdb, 0xaf, + 0x31, 0xd8, 0xa8, 0x77, 0x6a, 0xba, 0xba, 0x80, 0xff, 0x3f, 0x5f, 0x86, + 0x9f, 0x80, 0x03, 0x1e, 0xd0, 0x5f, 0x37, 0x50, 0x61, 0xfc, 0x03, 0xd8, + 0x93, 0xa1, 0x79, 0x62, 0xfa, 0x92, 0xb8, 0x4a, 0x66, 0x99, 0xd7, 0x85, + 0x8d, 0x0f, 0x07, 0x02, 0x03, 0x83, 0x8c, 0x20, 0xa5, 0x9c, 0x2f, 0xfd, + 0x22, 0x5a, 0xf0, 0x95, 0x1e, 0xbf, 0x17, 0xf1, 0x3a, 0x40, 0x7f, 0xce, + 0x94, 0x62, 0x5f, 0x58, 0xe5, 0xf3, 0x99, 0x8c, 0x38, 0x8f, 0x05, 0x10, + 0x68, 0xea, 0x41, 0xb5, 0xc0, 0x6f, 0x4f, 0x63, 0x87, 0x1d, 0x98, 0xc3, + 0x31, 0x66, 0x1e, 0x9f, 0x2d, 0x3c, 0x6e, 0x9f, 0xb3, 0xcf, 0x8e, 0x77, + 0xf5, 0x3c, 0x51, 0x5a, 0xee, 0x82, 0xa1, 0xc5, 0x53, 0x20, 0x75, 0xd1, + 0xa8, 0x02, 0x37, 0x43, 0x08, 0x16, 0x05, 0x01, 0xed, 0xea, 0xf1, 0x52, + 0x58, 0x20, 0x94, 0x85, 0x05, 0x2e, 0x48, 0x3f, 0x47, 0x49, 0x4f, 0x01, + 0x44, 0xbd, 0x1e, 0x42, 0xea, 0x90, 0x90, 0x23, 0x99, 0x05, 0xfd, 0x37, + 0x41, 0x0c, 0x2f, 0xc4, 0x20, 0x04, 0x99, 0xee, 0x0f, 0xbb, 0xc2, 0x6d, + 0x0a, 0x7f, 0x24, 0x5a, 0x17, 0xa4, 0xeb, 0x9c, 0x67, 0xfe, 0x64, 0x0d, + 0xea, 0xb7, 0x20, 0x48, 0x40, 0x3b, 0x25, 0xed, 0x51, 0x5c, 0xfc, 0x20, + 0x18, 0xb6, 0xfc, 0x3e, 0xdb, 0xd9, 0xa1, 0xbd, 0x9e, 0xee, 0xcb, 0x5d, + 0x02, 0xfe, 0x7f, 0x42, 0x9d, 0xc9, 0xce, 0xfa, 0xe1, 0xd8, 0xf2, 0x05, + 0x67, 0x35, 0x88, 0x4e, 0xd7, 0x70, 0x97, 0x63, 0xb5, 0x0c, 0x60, 0x89, + 0xc0, 0xfe, 0x32, 0xd7, 0xae, 0x4b, 0xf1, 0x0a, 0xae, 0x3c, 0xde, 0x18, + 0x9c, 0x1d, 0xd2, 0xda, 0xf2, 0x02, 0x8d, 0xf1, 0x07, 0xd6, 0x5e, 0xb7, + 0xba, 0xaf, 0x81, 0x97, 0xee, 0xe0, 0x9d, 0x51, 0xf3, 0x1d, 0xc1, 0x5d, + 0x43, 0xe2, 0x0b, 0x0c, 0x9c, 0x0d, 0x74, 0x91, 0x20, 0x6f, 0x65, 0xf1, + 0xf2, 0x84, 0x02, 0x38, 0xb5, 0xe5, 0x10, 0x21, 0xfc, 0xe6, 0xc3, 0x4b, + 0x60, 0x49, 0x6a, 0xf1, 0xd5, 0x50, 0x0f, 0x6f, 0x8b, 0x1e, 0x80, 0xf3, + 0x5d, 0x29, 0xee, 0x60, 0xab, 0x26, 0xa5, 0x8c, 0xc4, 0x4c, 0xcb, 0xa6, + 0xaa, 0xe3, 0xfe, 0xd1, 0x67, 0x48, 0xb4, 0xfa, 0xbf, 0x57, 0xfe, 0x62, + 0x85, 0xa0, 0xac, 0xdc, 0x4e, 0x71, 0x01, 0xcc, 0x12, 0xec, 0x80, 0x95, + 0x54, 0xdc, 0x14, 0x9e, 0x20, 0xda, 0x5a, 0xbd, 0xee, 0x76, 0xbe, 0x39, + 0xcf, 0xbd, 0x8a, 0xe3, 0x0e, 0x71, 0x85, 0xe4, 0x3c, 0x62, 0x3b, 0xf8, + 0x6e, 0x70, 0xd4, 0xd6, 0x2e, 0xe0, 0x5e, 0x11, 0x9d, 0x33, 0xd9, 0x30, + 0xff, 0x3b, 0xcc, 0x2a, 0x39, 0xc4, 0x6f, 0xfd, 0xca, 0x88, 0xad, 0x28, + 0xa2, 0xe8, 0xa8, 0xd7, 0xe6, 0x08, 0x0d, 0xaf, 0x9d, 0xd8, 0xc8, 0x41, + 0x66, 0x84, 0x66, 0x86, 0x2b, 0x81, 0x3b, 0x6c, 0xc6, 0x76, 0x27, 0x6a, + 0x0d, 0x96, 0x0e, 0x65, 0x3e, 0xdf, 0xf5, 0x68, 0x04, 0x9d, 0x2d, 0x26, + 0x8b, 0xca, 0x0a, 0x79, 0x2a, 0xb4, 0xa0, 0xb3, 0x18, 0x4a, 0xea, 0x6a, + 0xd2, 0x14, 0xcd, 0x47, 0x85, 0x9f, 0x86, 0xd7, 0xde, 0xaa, 0x1e, 0x0e, + 0x71, 0x13, 0xec, 0xfe, 0x7c, 0x69, 0xbf, 0x22, 0xf0, 0x61, 0x50, 0x97, + 0x77, 0xc2, 0x2b, 0x31, 0x89, 0x11, 0xd6, 0x08, 0xb1, 0xd4, 0xce, 0xba, + 0xa0, 0x16, 0x9c, 0x2b, 0x8b, 0x3e, 0x17, 0xd8, 0xea, 0xe1, 0xf1, 0x20, + 0x7f, 0x3e, 0x76, 0x9f, 0x2f, 0x46, 0xc3, 0xaf, 0xc4, 0xba, 0xc9, 0x63, + 0xf7, 0xbb, 0x98, 0x6d, 0x60, 0x16, 0x04, 0x14, 0xc2, 0xed, 0x2e, 0xc3, + 0x00, 0x4f, 0x8f, 0x9d, 0xc6, 0xd9, 0xcd, 0xc1, 0xab, 0x4e, 0x67, 0xed, + 0xf8, 0xd2, 0x62, 0x13, 0xfa, 0x11, 0x31, 0xbb, 0x08, 0xdd, 0x4e, 0x89, + 0x4a, 0xff, 0x07, 0x89, 0xb5, 0x6c, 0xc3, 0xfe, 0x76, 0x6d, 0x10, 0x4c, + 0x1e, 0x10, 0x55, 0x22, 0x95, 0xfe, 0x09, 0xa5, 0x6e, 0x73, 0x0c, 0x2b}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_6144[] = { + 0xa8, 0x61, 0x65, 0x91, 0xb2, 0x43, 0xe3, 0x04, 0x25, 0x77, 0xb0, + 0x5a, 0xc5, 0xb1, 0x50, 0x19, 0x31, 0x2a, 0xd4, 0x79, 0x93, 0xc4, + 0x90, 0x9b, 0x27, 0xf1, 0x1e, 0xbb, 0x6e, 0x08, 0x98, 0xb1}; +#endif + +static const unsigned char base_weak_6144[] = { + 0x34, 0xc2, 0xb2, 0x1f, 0xd9, 0x4e, 0xb6, 0xfd, 0x6c, 0x01, 0x47, 0xb9, + 0x50, 0xf1, 0xbe, 0x07, 0x1c, 0xdd, 0x67, 0xa2, 0xf1, 0x7c, 0x0d, 0xe5, + 0x9b, 0x7c, 0x9e, 0x0e, 0xd9, 0xf8, 0x81, 0xa1, 0xcf, 0x12, 0x28, 0x69, + 0xcd, 0xdf, 0x8a, 0x91, 0xad, 0x53, 0x0e, 0x31, 0x0c, 0xff, 0x4f, 0xaa, + 0x4f, 0x24, 0xa3, 0xd8, 0xc5, 0x56, 0xef, 0x21, 0xd6, 0x03, 0xcc, 0x87, + 0xab, 0xde, 0x7b, 0xbb, 0xbc, 0x1c, 0x91, 0xd4, 0x1d, 0x08, 0xe8, 0x26, + 0xba, 0x6e, 0x0c, 0x17, 0x1f, 0xb1, 0x29, 0x17, 0x04, 0x6c, 0x84, 0xd5, + 0x43, 0xc1, 0x35, 0xfd, 0x5a, 0x03, 0xd2, 0x9f, 0x30, 0xf7, 0xa5, 0xd5, + 0xb3, 0xc7, 0x5e, 0x00, 0x51, 0x31, 0x49, 0xec, 0x9b, 0xdd, 0x51, 0xee, + 0x84, 0xf4, 0x5f, 0xbe, 0x81, 0x23, 0x1e, 0xae, 0x99, 0x08, 0xdb, 0x26, + 0x41, 0xea, 0xcb, 0x7f, 0x40, 0xf6, 0x7b, 0x7f, 0xf7, 0x45, 0xcc, 0x7c, + 0x05, 0x35, 0xa8, 0x9f, 0x5a, 0x61, 0xf2, 0x71, 0xd4, 0x9b, 0x36, 0x19, + 0x69, 0xcd, 0x15, 0x06, 0x7a, 0xd7, 0x65, 0x04, 0x23, 0xa1, 0xf0, 0x18, + 0x16, 0xb1, 0x33, 0x45, 0x22, 0x14, 0xce, 0xc2, 0xfa, 0x6f, 0x5e, 0x4e, + 0x80, 0xc0, 0x99, 0x82, 0x6c, 0x2e, 0x6e, 0xaa, 0x0f, 0x5d, 0x60, 0xdc, + 0xc0, 0x91, 0x8f, 0x8b, 0xdd, 0x6c, 0xd2, 0xc2, 0x2e, 0x7a, 0xb6, 0x97, + 0x0a, 0x9c, 0x3c, 0x98, 0xe2, 0xd1, 0x5f, 0x6e, 0x1c, 0xbd, 0xb5, 0xdc, + 0x59, 0x3e, 0xb8, 0x94, 0x22, 0x89, 0x80, 0x0f, 0x75, 0x87, 0x18, 0x58, + 0x14, 0xb8, 0xa0, 0x80, 0x04, 0x33, 0x31, 0x34, 0x96, 0xd8, 0x0c, 0xc6, + 0xfd, 0xd0, 0x2b, 0xee, 0x52, 0xbf, 0x1f, 0x77, 0xfd, 0x18, 0xba, 0x77, + 0xb4, 0xf7, 0xcc, 0xc6, 0x5d, 0x50, 0x10, 0x94, 0xd8, 0x99, 0xce, 0x8d, + 0x2c, 0xc0, 0xa1, 0xd1, 0x44, 0xde, 0x90, 0x77, 0x45, 0x6a, 0x52, 0xbe, + 0x02, 0x8d, 0x21, 0x98, 0x76, 0xc9, 0x78, 0x31, 0x84, 0x21, 0xc6, 0x7d, + 0xb5, 0xcd, 0x65, 0x1e, 0x33, 0xea, 0x26, 0xe1, 0x5c, 0x1b, 0x4d, 0x66, + 0xc7, 0x08, 0xc9, 0xd5, 0x83, 0x8a, 0x2e, 0x80, 0x1c, 0xb8, 0x4d, 0x5f, + 0xf0, 0x28, 0x10, 0x02, 0x08, 0xd4, 0xe9, 0x87, 0xff, 0x5e, 0xe6, 0x39, + 0x4a, 0x40, 0xe6, 0x96, 0x64, 0xe5, 0x99, 0xbd, 0x69, 0xd3, 0x9a, 0xc6, + 0x0f, 0xea, 0x99, 0x34, 0x16, 0x06, 0x8d, 0xc4, 0xe9, 0x1e, 0x30, 0x31, + 0xa3, 0x23, 0xf2, 0xf6, 0x34, 0x65, 0x28, 0xe4, 0x6e, 0xfc, 0x85, 0x27, + 0xa2, 0x59, 0xb0, 0x19, 0x32, 0x7b, 0x07, 0x7b, 0x71, 0xa8, 0xb2, 0x9d, + 0x49, 0x14, 0xcd, 0xe5, 0x4e, 0x58, 0x34, 0xa8, 0x33, 0x7d, 0x99, 0xb8, + 0x48, 0x54, 0x1a, 0xc0, 0xd4, 0xb1, 0xaa, 0x15, 0x00, 0xe8, 0x7e, 0x9e, + 0x02, 0xcc, 0xde, 0x93, 0xe8, 0x73, 0x92, 0xf3, 0x3d, 0x99, 0x04, 0x21, + 0xc2, 0xa9, 0xb8, 0x1c, 0xfd, 0x9a, 0xfd, 0x30, 0xb4, 0x85, 0x5b, 0xbb, + 0x48, 0x0a, 0x7d, 0xfe, 0xc9, 0x49, 0x72, 0xdd, 0xbe, 0x6c, 0x3a, 0x2b, + 0x64, 0xc5, 0x85, 0xa8, 0xb4, 0x7c, 0x3a, 0xcb, 0x5f, 0x59, 0x62, 0xd6, + 0x2b, 0x62, 0x2d, 0xdb, 0x77, 0x96, 0x29, 0x9b, 0x75, 0x21, 0x4a, 0xaa, + 0xff, 0x19, 0xe4, 0x95, 0x2b, 0x7f, 0xec, 0xcb, 0x49, 0xd9, 0xa0, 0x70, + 0xc8, 0x5f, 0x0a, 0x5f, 0x27, 0x05, 0xf2, 0xff, 0xaa, 0x94, 0x47, 0x75, + 0x22, 0xf0, 0xe9, 0x29, 0x05, 0x45, 0x08, 0xb8, 0x24, 0xa5, 0x89, 0x0a, + 0xd4, 0x94, 0xfc, 0xe8, 0x55, 0x67, 0x1f, 0x16, 0x0e, 0x0f, 0xdb, 0xdf, + 0xcf, 0x4a, 0xba, 0x8f, 0x57, 0x4a, 0xf2, 0xe7, 0x8c, 0xe1, 0xe9, 0x5c, + 0x4a, 0xae, 0x2e, 0x85, 0x47, 0x93, 0x57, 0x6f, 0xb1, 0xea, 0xad, 0xaa, + 0x38, 0x52, 0x81, 0xe0, 0x14, 0xed, 0x16, 0xc5, 0xd3, 0xef, 0x70, 0x28, + 0x7e, 0x64, 0x52, 0xe2, 0x4a, 0x84, 0xdb, 0x44, 0x77, 0x87, 0x4e, 0x39, + 0x89, 0x73, 0x96, 0x3f, 0x5a, 0xfa, 0xb3, 0xa2, 0x88, 0x3d, 0x66, 0x41, + 0xbf, 0xdb, 0xa9, 0xb0, 0xbf, 0xec, 0x6f, 0x86, 0x25, 0x7f, 0x58, 0xce, + 0xc9, 0xa0, 0x1c, 0x3d, 0xf0, 0x0e, 0x08, 0xa7, 0x6e, 0x85, 0x15, 0x7f, + 0x0f, 0x5c, 0x1d, 0xfd, 0xfa, 0x86, 0x02, 0x73, 0x75, 0x21, 0xe4, 0xb4, + 0x98, 0x57, 0x87, 0x16, 0xbf, 0xd4, 0xdf, 0xd3, 0x5e, 0x62, 0x3b, 0x52, + 0xc4, 0xd6, 0xee, 0xed, 0x07, 0x51, 0x3f, 0x31, 0x50, 0x04, 0xc6, 0x8b, + 0xea, 0xfa, 0x04, 0x10, 0x54, 0xa9, 0x1a, 0xf1, 0x5c, 0x5e, 0xb0, 0x3a, + 0xf3, 0xcc, 0x65, 0xb1, 0x01, 0x98, 0x8e, 0x96, 0x6d, 0x55, 0x5f, 0x5b, + 0xfb, 0x09, 0xfa, 0x1f, 0x4c, 0x03, 0x11, 0x6f, 0xb9, 0x69, 0xfd, 0x8c, + 0x7a, 0xf6, 0x16, 0x51, 0x9f, 0xc0, 0xdf, 0x42, 0x91, 0xc8, 0xd5, 0x7c, + 0x58, 0xd3, 0xac, 0xdc, 0x53, 0xb4, 0x38, 0xe9, 0xbc, 0x76, 0x1e, 0x9b, + 0xf8, 0x53, 0x5c, 0xd2, 0xea, 0x11, 0xa0, 0x7e, 0x24, 0x36, 0x12, 0xff, + 0xac, 0x4f, 0x9d, 0x2d, 0xdc, 0x2a, 0x2b, 0xf7, 0xb6, 0x79, 0x1a, 0xa3, + 0x59, 0x09, 0x34, 0x56, 0x04, 0x8f, 0xfe, 0x1b, 0x3d, 0xf9, 0x73, 0xd1, + 0xc7, 0x30, 0x3d, 0x97, 0xc5, 0x2f, 0x4b, 0x0b, 0x66, 0xad, 0x4b, 0x4a, + 0xcd, 0xc9, 0x2d, 0xaa, 0xdd, 0x3a, 0x9a, 0x22, 0x89, 0x4c, 0x8c, 0xc6, + 0x1e, 0xbd, 0xa4, 0xbd, 0x43, 0x0b, 0x52, 0xfb, 0xcd, 0x07, 0x04, 0x43, + 0x77, 0xf7, 0x11, 0x7a, 0x70, 0x4f, 0x4a, 0xae, 0xb3, 0x7b, 0x99, 0x7e, + 0x90, 0x17, 0x8b, 0xca, 0x77, 0xfc, 0x15, 0x4b, 0xda, 0xc1, 0x7c, 0x56}; + +static const unsigned char prime_weak_8192[] = { + 0x93, 0xdf, 0x6d, 0x37, 0xdc, 0x2a, 0xa4, 0xab, 0x5d, 0xdc, 0x73, 0x42, + 0x12, 0x18, 0x8f, 0x39, 0x47, 0x73, 0xf5, 0x3e, 0xbc, 0x6e, 0x0d, 0x2a, + 0x68, 0x5d, 0x53, 0x4f, 0x22, 0x8c, 0xa8, 0xa8, 0x4a, 0xac, 0x6a, 0x60, + 0x54, 0xca, 0x1a, 0x75, 0xda, 0x85, 0x02, 0x5e, 0x80, 0xbb, 0x9b, 0x5a, + 0x74, 0x96, 0x69, 0xc2, 0x7c, 0x84, 0x1f, 0x76, 0x0d, 0x53, 0xe4, 0x0b, + 0x32, 0xf3, 0x4b, 0xf6, 0x92, 0x5b, 0x2c, 0x98, 0x5d, 0xa9, 0x60, 0xdc, + 0x17, 0x5b, 0xfb, 0xb5, 0x0e, 0x38, 0xae, 0x63, 0x16, 0x79, 0xa4, 0xc5, + 0x76, 0x74, 0x20, 0x97, 0x5b, 0xdc, 0xa9, 0x88, 0xd1, 0x14, 0x46, 0x3e, + 0x1d, 0xe6, 0xca, 0xb5, 0x38, 0x57, 0xfd, 0xeb, 0x66, 0x2a, 0xfa, 0x8c, + 0x30, 0x07, 0xea, 0xb4, 0xbc, 0x79, 0x33, 0x14, 0xdf, 0x8f, 0x1d, 0x60, + 0x47, 0xc7, 0x23, 0xd9, 0x7f, 0xe3, 0x1c, 0x94, 0xa9, 0xbb, 0x2d, 0x1b, + 0x37, 0x64, 0x20, 0xcf, 0x68, 0x52, 0x39, 0xd9, 0x6f, 0x23, 0x50, 0xb2, + 0x67, 0xc8, 0x47, 0xaa, 0x39, 0x96, 0xd2, 0xfd, 0x9b, 0x9c, 0x86, 0x71, + 0xd8, 0x7c, 0x67, 0xb5, 0x7a, 0x9d, 0x4f, 0xf8, 0x8f, 0x34, 0x64, 0xcb, + 0xdb, 0x85, 0x11, 0x97, 0x86, 0xf7, 0xa1, 0x19, 0x2a, 0x10, 0x7a, 0xf2, + 0x15, 0x1b, 0x0c, 0x6e, 0x64, 0xf1, 0x18, 0x53, 0xf9, 0x9a, 0xdd, 0x7c, + 0x0d, 0x7c, 0x3d, 0x39, 0x9c, 0xa3, 0xc5, 0xf8, 0x68, 0x6f, 0xb4, 0x35, + 0xf8, 0x1d, 0xb8, 0xc8, 0xab, 0xea, 0x58, 0xf3, 0xbb, 0x78, 0xf3, 0xe2, + 0xa6, 0x16, 0xb3, 0x4a, 0x0a, 0x56, 0x5b, 0x44, 0xac, 0xcb, 0x66, 0x5d, + 0xa3, 0x62, 0x71, 0x91, 0x05, 0xd4, 0x97, 0x72, 0x33, 0x77, 0x43, 0x31, + 0x35, 0x9c, 0x43, 0xb8, 0xd5, 0x85, 0xdb, 0x8e, 0x28, 0xcb, 0x29, 0x98, + 0xb7, 0xfe, 0x6a, 0xf6, 0x08, 0x89, 0x82, 0xfc, 0xe6, 0x5d, 0x62, 0x68, + 0x55, 0xac, 0x3b, 0x9d, 0x82, 0xcd, 0x06, 0x10, 0x53, 0x93, 0x1d, 0x66, + 0x6a, 0xce, 0x63, 0x2c, 0x49, 0x36, 0xf3, 0x0d, 0x1c, 0x3f, 0x24, 0xd0, + 0x7f, 0xb2, 0xa0, 0xcf, 0x76, 0x2a, 0x16, 0xa2, 0x6f, 0x6b, 0xf4, 0xfe, + 0xb5, 0xca, 0x99, 0x44, 0x7c, 0xfc, 0x3b, 0xc1, 0xe4, 0x09, 0xf5, 0x7b, + 0x6d, 0x6c, 0xa1, 0x15, 0x10, 0x00, 0x4c, 0x75, 0x4d, 0x2a, 0x80, 0x95, + 0x90, 0x9a, 0x15, 0x5e, 0x77, 0x28, 0x8e, 0x83, 0x40, 0x85, 0x1f, 0x2d, + 0x70, 0x17, 0xa0, 0xb0, 0x7d, 0xe5, 0xfa, 0x81, 0x51, 0xbe, 0xb4, 0x16, + 0xf6, 0x54, 0x9f, 0x0e, 0xa3, 0xe2, 0x1e, 0x5e, 0x9b, 0x1c, 0xda, 0x0e, + 0x9f, 0x93, 0x5c, 0xf4, 0x43, 0xbd, 0x9c, 0x1e, 0x16, 0x67, 0xb5, 0x42, + 0x94, 0x70, 0xf8, 0x79, 0x0c, 0x2d, 0x48, 0xc1, 0x24, 0xc5, 0xc6, 0xa9, + 0x64, 0x0c, 0x44, 0xec, 0x99, 0xae, 0xb5, 0xe7, 0xc1, 0x24, 0x8a, 0x6c, + 0xd1, 0xa2, 0xbf, 0x4c, 0x6b, 0x0b, 0xe9, 0xf0, 0x98, 0x3d, 0xc7, 0x9c, + 0xe1, 0x8d, 0x1a, 0xde, 0xc4, 0x44, 0x43, 0xc6, 0xbf, 0x38, 0x62, 0x25, + 0x91, 0x42, 0x84, 0x01, 0x28, 0xcb, 0x80, 0xbc, 0x39, 0x4c, 0xc3, 0x3f, + 0xf6, 0xdf, 0xe1, 0xe6, 0xc9, 0x77, 0x35, 0x57, 0x2f, 0x89, 0x9d, 0xfa, + 0xaf, 0x37, 0xd6, 0x33, 0x71, 0x34, 0xff, 0x52, 0x28, 0xb3, 0x3c, 0x96, + 0x68, 0x10, 0x12, 0xc9, 0xbe, 0x18, 0x03, 0xcd, 0xef, 0x27, 0x0a, 0xd1, + 0xc9, 0x0e, 0x49, 0x01, 0x22, 0x73, 0xdb, 0x5f, 0x11, 0x75, 0x6d, 0xea, + 0x16, 0xda, 0x26, 0x7f, 0x3e, 0x7c, 0xcb, 0x62, 0xcf, 0xcc, 0x8d, 0xd6, + 0xea, 0xce, 0x26, 0x44, 0xa4, 0x74, 0x54, 0x4e, 0x2b, 0x15, 0xba, 0x9d, + 0xa1, 0x39, 0xe8, 0xfd, 0xe0, 0x29, 0xf0, 0xd7, 0xaa, 0x30, 0x6b, 0xd7, + 0x14, 0x3c, 0xa0, 0x04, 0xbc, 0xed, 0x82, 0xcb, 0xc9, 0xdb, 0x4f, 0x20, + 0x05, 0x6e, 0x45, 0x79, 0xdd, 0x5b, 0x3d, 0x5e, 0xee, 0xf1, 0xc3, 0xaa, + 0xb3, 0xd3, 0x3a, 0x47, 0xac, 0xe3, 0x12, 0xa1, 0xd5, 0xf4, 0x24, 0xe5, + 0x6c, 0xe4, 0x9f, 0xb4, 0xca, 0x96, 0x49, 0x51, 0x36, 0x3b, 0xa4, 0xa2, + 0xd6, 0x2e, 0x42, 0x23, 0x32, 0x8c, 0xc8, 0x83, 0xea, 0x14, 0xd1, 0x08, + 0x09, 0x8f, 0xdb, 0x4c, 0xc2, 0x00, 0x44, 0x06, 0x81, 0xd4, 0x11, 0x5d, + 0x2b, 0x1e, 0x37, 0x80, 0xaa, 0xb9, 0x88, 0xfa, 0xab, 0xd2, 0x76, 0x2e, + 0x03, 0xb8, 0x3b, 0x0b, 0xfc, 0x01, 0x96, 0xe3, 0x62, 0x00, 0x71, 0x13, + 0xe8, 0xfb, 0x78, 0xce, 0x39, 0x06, 0xa1, 0x44, 0xdd, 0x61, 0x6a, 0x56, + 0xb2, 0xcd, 0xcb, 0xec, 0x67, 0x24, 0x28, 0x7d, 0x39, 0x80, 0x37, 0xcb, + 0x95, 0x49, 0x96, 0xe9, 0x3f, 0xb7, 0x89, 0xeb, 0x11, 0x7c, 0x34, 0x49, + 0x36, 0x2c, 0xec, 0x82, 0xb6, 0x3c, 0xa9, 0x9a, 0xd3, 0xb8, 0xab, 0xb9, + 0x28, 0x2f, 0x97, 0x71, 0x04, 0xa8, 0x86, 0x2b, 0x43, 0xb6, 0x27, 0x51, + 0x8a, 0xe0, 0xa3, 0x98, 0xe7, 0x33, 0x32, 0xfe, 0x18, 0xb9, 0x38, 0x95, + 0x78, 0x17, 0xbe, 0x43, 0xa0, 0x08, 0x8b, 0x05, 0x8d, 0x56, 0xd7, 0x4e, + 0x61, 0x01, 0x00, 0x05, 0x12, 0x6d, 0x13, 0x95, 0xea, 0xce, 0xdc, 0xbf, + 0xc4, 0x74, 0x20, 0x89, 0x28, 0x05, 0xd2, 0x97, 0xc3, 0x35, 0x24, 0x6d, + 0x43, 0xdd, 0xe2, 0x9f, 0x15, 0x80, 0xee, 0xdd, 0xcd, 0x8a, 0x88, 0xc5, + 0x92, 0xda, 0x1d, 0xd9, 0xd0, 0xb8, 0xfd, 0x18, 0xcc, 0x58, 0x1b, 0xca, + 0x3b, 0xcc, 0x9e, 0xcd, 0x53, 0x61, 0x68, 0xf5, 0xbb, 0x2d, 0x02, 0x55, + 0x2b, 0x93, 0x9f, 0x18, 0x17, 0x20, 0xb1, 0x54, 0xe0, 0xfe, 0x3e, 0x6a, + 0x10, 0x7f, 0xee, 0x60, 0x7c, 0xcb, 0x14, 0x82, 0x68, 0xed, 0x08, 0x07, + 0xe7, 0x34, 0xad, 0x27, 0x6f, 0xda, 0x57, 0xe2, 0xa7, 0x4b, 0x7e, 0x7a, + 0x2e, 0x95, 0x88, 0x58, 0x3d, 0xe7, 0xdc, 0xa3, 0xf2, 0xe9, 0xf5, 0x95, + 0xfd, 0x1c, 0x5f, 0x9e, 0x5c, 0x0c, 0xe8, 0x36, 0xd5, 0x09, 0x35, 0x66, + 0x27, 0xb9, 0x13, 0x8a, 0x0e, 0xfa, 0xeb, 0xa6, 0x5b, 0xd6, 0x07, 0x4d, + 0xcf, 0x0d, 0x90, 0x71, 0xa1, 0xe5, 0x58, 0x1e, 0x27, 0x69, 0x64, 0x18, + 0x22, 0x07, 0x8a, 0x2a, 0xe9, 0x08, 0x00, 0x02, 0x8a, 0x58, 0x38, 0x81, + 0x05, 0xd8, 0xe7, 0x5d, 0x3d, 0xe8, 0x2b, 0x17, 0xfa, 0x29, 0x5c, 0xeb, + 0x93, 0x0c, 0x0f, 0x29, 0x68, 0x21, 0x93, 0x62, 0xf2, 0xe1, 0x44, 0x38, + 0x69, 0x21, 0x57, 0x86, 0x71, 0x6b, 0x3d, 0x12, 0x4e, 0x28, 0xdb, 0x0b, + 0xd4, 0x2c, 0xc5, 0xe8, 0x5f, 0x9b, 0xd2, 0x26, 0x08, 0x45, 0xa4, 0xb2, + 0xb1, 0x5e, 0xd1, 0x18, 0x3e, 0x62, 0x8d, 0x77, 0xa0, 0x62, 0x07, 0x75, + 0x0c, 0x68, 0x7f, 0xab, 0xd2, 0x2c, 0xec, 0x8e, 0xa9, 0x6e, 0x37, 0x3d, + 0xdb, 0x33, 0x7a, 0x4a, 0xba, 0x86, 0x25, 0x50, 0x6a, 0x37, 0x1b, 0x9b, + 0x91, 0x1a, 0x5f, 0x93, 0x21, 0xea, 0x91, 0xdc, 0x64, 0xb6, 0x07, 0x44, + 0x34, 0x79, 0x6a, 0x6a, 0x42, 0x4e, 0xf3, 0xe2, 0xa2, 0x6b, 0xff, 0xcd, + 0xd7, 0xc5, 0x69, 0xb9, 0x81, 0x7d, 0x34, 0xb4, 0x5b, 0xb6, 0x83, 0xc3, + 0x6b, 0x9a, 0xe1, 0x2e, 0x5e, 0x34, 0x01, 0x21, 0xeb, 0x37, 0xcc, 0xc5, + 0x5f, 0x7f, 0xa0, 0xde, 0x0f, 0x79, 0xb7, 0xc3, 0x3b, 0x84, 0x7d, 0xe8, + 0x96, 0xfd, 0x32, 0x47, 0x78, 0x3e, 0x22, 0xc8, 0x98, 0xce, 0x7a, 0xef, + 0x1d, 0xa6, 0x09, 0x3a, 0xff, 0xf7, 0x68, 0xd9, 0xb8, 0xe9, 0x7e, 0x8a, + 0xec, 0x23, 0x01, 0x97}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_8192[] = { + 0xe2, 0x48, 0x2e, 0xe9, 0x45, 0x85, 0xe1, 0x01, 0x91, 0x3b, 0xd1, + 0x15, 0x16, 0xb4, 0xf5, 0x5b, 0x2c, 0xb4, 0xae, 0x42, 0x61, 0x7a, + 0xd9, 0x26, 0x39, 0x12, 0xd2, 0x46, 0xb3, 0x46, 0x9b, 0x5f}; +#endif + +static const unsigned char base_weak_8192[] = { + 0x78, 0x4d, 0x5d, 0xa1, 0xce, 0x9d, 0x68, 0xae, 0x47, 0x31, 0x81, 0x08, + 0x8c, 0x24, 0x38, 0x6a, 0xc8, 0xc7, 0xf4, 0x1c, 0xa1, 0xcb, 0x5d, 0x65, + 0x04, 0x6e, 0x0d, 0xbe, 0x55, 0x1d, 0x25, 0xc2, 0xca, 0x74, 0x99, 0x66, + 0x67, 0x75, 0x00, 0xd6, 0x12, 0x90, 0x7f, 0x44, 0x56, 0x40, 0x98, 0x23, + 0x30, 0x87, 0x7b, 0x02, 0x86, 0xc1, 0xb3, 0x1b, 0x83, 0x82, 0xdb, 0x5b, + 0xa6, 0x72, 0x90, 0x77, 0xf9, 0x63, 0x9d, 0xb4, 0xe0, 0x83, 0x5e, 0x04, + 0x1d, 0x7b, 0x25, 0x68, 0x67, 0xa4, 0xb2, 0x4e, 0x5a, 0xde, 0x1f, 0x48, + 0x01, 0x10, 0xde, 0xde, 0xa9, 0xc3, 0x14, 0xc5, 0x9c, 0xda, 0xbe, 0xd9, + 0x19, 0x91, 0x43, 0x4a, 0xaa, 0x77, 0xcc, 0xbb, 0xe0, 0xe7, 0x71, 0xa9, + 0xa2, 0x73, 0x4f, 0xf6, 0x88, 0xe0, 0xc6, 0x5d, 0x1a, 0xc9, 0x80, 0x6b, + 0x47, 0x98, 0x76, 0xb4, 0x6c, 0xfe, 0xc8, 0xdf, 0x65, 0x42, 0x3d, 0x11, + 0x60, 0x09, 0x32, 0xb3, 0x35, 0xc4, 0x97, 0x4c, 0xae, 0xd3, 0x3a, 0x0c, + 0x2b, 0x44, 0xe6, 0x21, 0x01, 0xf3, 0xbf, 0x3d, 0xb7, 0x18, 0x31, 0x28, + 0x88, 0x9e, 0xad, 0x06, 0xc4, 0xb8, 0x0a, 0x26, 0x09, 0xff, 0xe7, 0xf4, + 0xab, 0xd9, 0x28, 0x94, 0x02, 0xe6, 0x58, 0x65, 0xf4, 0x47, 0x3f, 0x4c, + 0x9e, 0xd8, 0x68, 0xed, 0x65, 0x39, 0x5b, 0x04, 0x6a, 0x1d, 0x21, 0xba, + 0xef, 0xbd, 0xdc, 0x15, 0x69, 0xb2, 0x24, 0x6c, 0x23, 0x98, 0xdd, 0x22, + 0xa0, 0x90, 0x48, 0xc1, 0xcc, 0xc6, 0xb4, 0xc9, 0x19, 0x8c, 0x23, 0x89, + 0x0b, 0x3b, 0x66, 0x0f, 0xfb, 0x45, 0xe6, 0x05, 0x7d, 0x57, 0xd3, 0x58, + 0x6c, 0xe5, 0x36, 0xaa, 0x05, 0xcf, 0xa6, 0x2d, 0x5a, 0x40, 0x96, 0x12, + 0x1e, 0xea, 0x34, 0x11, 0x94, 0x76, 0x47, 0xc8, 0x87, 0x3d, 0xb9, 0xe8, + 0x83, 0x6b, 0xfe, 0x83, 0xc6, 0xa3, 0x38, 0xe1, 0x06, 0xc3, 0xb0, 0xeb, + 0x53, 0x07, 0x75, 0x20, 0x60, 0xc2, 0xee, 0x1e, 0x95, 0xb4, 0xc1, 0xc5, + 0xe0, 0x1b, 0x47, 0xbb, 0xf9, 0x48, 0x6a, 0x68, 0x09, 0xab, 0xd2, 0x6e, + 0x29, 0x74, 0xed, 0x61, 0x0e, 0x12, 0xe2, 0x89, 0x15, 0x4f, 0xe2, 0xa1, + 0x50, 0xbd, 0x81, 0x49, 0xf0, 0xc4, 0x17, 0xe5, 0xb3, 0x35, 0x0b, 0xfa, + 0x59, 0x9f, 0x18, 0x84, 0xba, 0x74, 0xf2, 0xb8, 0x8f, 0xdf, 0x7c, 0x3e, + 0x36, 0x67, 0x84, 0xb7, 0x85, 0x50, 0x51, 0x64, 0x2a, 0xca, 0x8f, 0x6b, + 0xc8, 0xd1, 0x88, 0x0f, 0x64, 0x9a, 0x4a, 0xbd, 0x9b, 0x5f, 0x11, 0xd0, + 0x80, 0xba, 0x5d, 0x2e, 0x63, 0xc1, 0xe3, 0x58, 0xc1, 0xf3, 0xe3, 0x88, + 0xa7, 0xe6, 0xb2, 0x3c, 0xdf, 0x9d, 0xfa, 0xed, 0x5c, 0x6f, 0x86, 0x3b, + 0x25, 0x0f, 0x0e, 0xff, 0x0b, 0x88, 0x1c, 0xe9, 0xeb, 0xe5, 0x75, 0xee, + 0x50, 0xdf, 0x7c, 0xb0, 0xf2, 0x09, 0x78, 0x47, 0x60, 0x76, 0x3b, 0x44, + 0x5a, 0x9d, 0xf2, 0x5c, 0x68, 0xf9, 0x03, 0x88, 0x6a, 0x9f, 0x6a, 0x73, + 0x85, 0xc9, 0xe7, 0x5e, 0xbf, 0xac, 0x9e, 0x7a, 0x13, 0x53, 0x40, 0x65, + 0x65, 0x41, 0x02, 0x38, 0x5e, 0x05, 0xac, 0xbc, 0xc5, 0xff, 0xc5, 0x35, + 0x6c, 0x2b, 0x76, 0xac, 0xc5, 0xcc, 0x1e, 0x28, 0x53, 0x88, 0xab, 0x58, + 0x36, 0x7a, 0x99, 0xeb, 0x68, 0x7a, 0xdc, 0xd5, 0xc5, 0xaf, 0x84, 0xad, + 0x43, 0x0b, 0x3f, 0x3c, 0xbf, 0x87, 0x33, 0x45, 0xc6, 0x62, 0xf3, 0xac, + 0xff, 0x58, 0x82, 0x86, 0x9a, 0x3d, 0x05, 0xa0, 0xd2, 0xbb, 0x6d, 0x19, + 0x09, 0x09, 0x01, 0xeb, 0x8f, 0xd6, 0xf8, 0x13, 0xf6, 0x2f, 0xce, 0x0c, + 0x01, 0xe1, 0xcd, 0x56, 0xad, 0xf7, 0xd6, 0xe3, 0xf3, 0xfe, 0x5b, 0x61, + 0x40, 0x3d, 0x6b, 0x9b, 0xca, 0x44, 0xda, 0xac, 0xf5, 0xc0, 0x9f, 0xb5, + 0x23, 0x77, 0x70, 0x72, 0x83, 0xf4, 0xb8, 0x15, 0x66, 0x59, 0xc6, 0x72, + 0xea, 0xba, 0xa7, 0x1f, 0xd8, 0x27, 0xd3, 0x52, 0xdf, 0xec, 0x7c, 0x1d, + 0x3e, 0x60, 0x98, 0xb1, 0x30, 0xb8, 0x00, 0x37, 0x1a, 0x2d, 0xe9, 0xdb, + 0x62, 0x7f, 0xa9, 0x37, 0x9d, 0xf9, 0x82, 0x10, 0x98, 0xed, 0xc5, 0xc7, + 0xc7, 0xe6, 0x6e, 0xe8, 0x0f, 0xa8, 0x7e, 0xac, 0x30, 0xf8, 0x75, 0x95, + 0xc8, 0x56, 0x3b, 0xbb, 0x6f, 0x69, 0x48, 0x84, 0xb5, 0x4e, 0x8d, 0x68, + 0xdf, 0x2a, 0x1d, 0xf5, 0xd6, 0xd8, 0x00, 0x6f, 0x29, 0xea, 0x66, 0xb1, + 0xcb, 0xf3, 0xdb, 0x5e, 0x55, 0x9f, 0x13, 0x67, 0x22, 0xc3, 0x02, 0x74, + 0xc8, 0x69, 0x6b, 0xe5, 0x23, 0x83, 0x27, 0x20, 0x91, 0xda, 0xb3, 0x4a, + 0xe4, 0x92, 0xc9, 0x25, 0x76, 0x16, 0xf9, 0xfc, 0x74, 0xec, 0x95, 0xd9, + 0x61, 0x5f, 0x03, 0xac, 0x94, 0x2f, 0x4d, 0x00, 0xce, 0x97, 0xb7, 0x18, + 0x60, 0x10, 0x44, 0x1a, 0x48, 0xb2, 0x86, 0x02, 0x18, 0xac, 0x68, 0x61, + 0x73, 0x5e, 0x13, 0xd1, 0xd4, 0x66, 0x71, 0x8b, 0x1d, 0xbc, 0x08, 0xa2, + 0x45, 0xac, 0xe2, 0x06, 0xea, 0xe7, 0xb2, 0x8a, 0x27, 0x25, 0xb8, 0xa2, + 0xaf, 0x03, 0xc0, 0x0d, 0x90, 0x34, 0x90, 0x60, 0x55, 0x5f, 0x71, 0x94, + 0x8d, 0xfa, 0x5d, 0x91, 0x96, 0x3e, 0x7a, 0x2a, 0x4f, 0x50, 0x3f, 0x48, + 0xc2, 0x31, 0xd2, 0xa9, 0x29, 0x8a, 0x0a, 0x41, 0x50, 0xf2, 0x7d, 0x9b, + 0x52, 0xc9, 0xdf, 0x69, 0xfb, 0x6a, 0x1e, 0xee, 0xf2, 0x44, 0x3e, 0xe5, + 0x48, 0xad, 0x24, 0x3b, 0xac, 0xad, 0x62, 0x4f, 0xc8, 0x30, 0x1d, 0x7e, + 0x42, 0x4b, 0x52, 0x53, 0xca, 0x16, 0x27, 0x37, 0x76, 0x8f, 0x95, 0x7c, + 0xd1, 0xcd, 0x39, 0xac, 0x30, 0xc0, 0x1d, 0x15, 0xe4, 0x80, 0xc2, 0x43, + 0x6d, 0x77, 0x5d, 0x27, 0x4a, 0xad, 0xf4, 0x64, 0x56, 0xfd, 0x0b, 0x3a, + 0xaf, 0xb7, 0x63, 0x03, 0x44, 0x86, 0x4d, 0x72, 0x03, 0xd9, 0x91, 0xb9, + 0x06, 0xc0, 0x3f, 0x7a, 0xd7, 0xb6, 0x17, 0xd5, 0xb3, 0x2a, 0x13, 0x93, + 0x9d, 0x45, 0xfa, 0x70, 0xe7, 0x3a, 0xcd, 0x5e, 0xad, 0x7c, 0x70, 0x96, + 0x84, 0x91, 0xfd, 0x1c, 0x2b, 0xa2, 0x68, 0x7c, 0xc4, 0x8f, 0xa0, 0x2f, + 0x02, 0x6e, 0x4f, 0xd5, 0xe9, 0xb8, 0xbf, 0x52, 0x85, 0xd3, 0xdd, 0xbb, + 0x43, 0x73, 0x58, 0xd9, 0xa4, 0xb0, 0x08, 0x25, 0x16, 0xe3, 0x13, 0xc9, + 0x98, 0x26, 0x79, 0x91, 0xf8, 0x67, 0x2f, 0x05, 0x10, 0x8f, 0x03, 0xe5, + 0x26, 0x5c, 0xcb, 0x99, 0x97, 0xb7, 0xc9, 0x19, 0x4d, 0x4c, 0x9f, 0xc6, + 0xcc, 0x24, 0xfb, 0xe2, 0x83, 0x59, 0xbb, 0x9f, 0x25, 0x14, 0xf0, 0x92, + 0x3a, 0xcc, 0xc7, 0xcf, 0x66, 0xea, 0x43, 0x48, 0x8a, 0x23, 0xcb, 0xec, + 0xf5, 0x60, 0x7e, 0x81, 0x72, 0x94, 0x44, 0xfd, 0x33, 0x38, 0xfc, 0xbd, + 0xcf, 0x91, 0xe7, 0x22, 0x19, 0x8f, 0x1e, 0x0a, 0x8c, 0x08, 0x8c, 0xf1, + 0x39, 0x7d, 0xd4, 0xf1, 0xb3, 0xa0, 0x9d, 0xae, 0x9e, 0x8e, 0x24, 0xd7, + 0x37, 0x39, 0x9b, 0x93, 0xd7, 0x89, 0x1c, 0x04, 0x1b, 0x3e, 0x84, 0x5d, + 0xc6, 0x75, 0x36, 0x64, 0x08, 0x06, 0x0d, 0xdd, 0x83, 0x8c, 0xf4, 0xc4, + 0xe1, 0x11, 0xe1, 0x14, 0x49, 0xb1, 0x32, 0xce, 0x6a, 0x6c, 0x39, 0x0d, + 0xf9, 0x35, 0x1b, 0x95, 0x4b, 0xe1, 0x65, 0x0c, 0xa6, 0xac, 0x69, 0x27, + 0x98, 0xfa, 0x34, 0xf1, 0x30, 0x35, 0xb6, 0xe4, 0xc4, 0x55, 0x2d, 0xa8, + 0x5c, 0xcb, 0x6c, 0xcd, 0x66, 0x65, 0xe2, 0x94, 0xb2, 0xb1, 0xf4, 0x52, + 0x75, 0xed, 0x32, 0x8c, 0x08, 0xa1, 0x86, 0x53, 0x01, 0x6f, 0x52, 0x78, + 0xda, 0x20, 0x6e, 0x6a}; +/* Calculated subprimes to verify primes are safe primes */ + +/* q=(p-1)/2 for prime prime_ike_1536 */ +static const unsigned char sub2_prime_ike_1536[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char sub2_prime_ike_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char sub2_prime_tls_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char sub2_prime_ike_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char sub2_prime_tls_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char sub2_prime_ike_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char sub2_prime_tls_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char sub2_prime_ike_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char sub2_prime_tls_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char sub2_prime_ike_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char sub2_prime_tls_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_safe_1536 */ +static const unsigned char sub2_prime_safe_1536[] = { + 0x7b, 0xb3, 0x98, 0xe4, 0x22, 0xb5, 0x6c, 0xf5, 0x29, 0x85, 0x90, 0xe3, + 0xa5, 0x7d, 0x40, 0xb3, 0x3b, 0x2e, 0x75, 0x5b, 0xfa, 0x88, 0x99, 0x36, + 0xe9, 0xa6, 0x3d, 0x56, 0x1c, 0x8b, 0x8d, 0x43, 0xdc, 0x00, 0x6b, 0x88, + 0xe2, 0xfe, 0xf0, 0xf1, 0xb2, 0xa6, 0x0f, 0xa1, 0x12, 0x20, 0x8f, 0x49, + 0x21, 0x5f, 0xdb, 0x32, 0x87, 0x39, 0x41, 0xc5, 0x5c, 0x41, 0x53, 0x27, + 0xcf, 0x65, 0x27, 0xe8, 0xd8, 0x89, 0xe1, 0x7d, 0x33, 0xd0, 0xb5, 0x03, + 0x27, 0xd7, 0xb7, 0x0b, 0x6c, 0xca, 0x6c, 0x6d, 0x71, 0xb3, 0x31, 0x00, + 0x8f, 0xc1, 0x47, 0x88, 0x70, 0x17, 0x9e, 0x51, 0xa1, 0x54, 0x5d, 0xca, + 0x19, 0x3c, 0xbc, 0xbf, 0xcb, 0xfc, 0x1d, 0x18, 0xd5, 0x0a, 0x63, 0xff, + 0x09, 0xcb, 0x3b, 0x8a, 0xdf, 0xa3, 0x90, 0x2b, 0x88, 0xf0, 0x27, 0xed, + 0x3f, 0x54, 0x8c, 0xa4, 0xd0, 0xc6, 0x94, 0xbb, 0x45, 0x69, 0xcd, 0xd8, + 0x5f, 0x28, 0x61, 0x92, 0xc1, 0x7c, 0xf1, 0x90, 0xc6, 0x7e, 0xd3, 0x28, + 0xf2, 0x9b, 0x3f, 0x41, 0x5b, 0x48, 0x22, 0xf0, 0xea, 0xb9, 0x2b, 0x5f, + 0x62, 0xb3, 0x9e, 0x89, 0x8d, 0x1c, 0xbf, 0xcc, 0x19, 0xfe, 0x5a, 0x3d, + 0xd2, 0x1c, 0x38, 0xc3, 0xcb, 0x37, 0x73, 0x3d, 0xbb, 0xd9, 0x32, 0xfe, + 0xef, 0x93, 0xc9, 0x86, 0x1e, 0x30, 0x6f, 0xf2, 0x99, 0xff, 0x6b, 0xa5, +}; + +/* q=(p-1)/2 for prime prime_safe_2048 */ +static const unsigned char sub2_prime_safe_2048[] = { + 0x70, 0xd1, 0xb7, 0x24, 0xb4, 0x83, 0x8e, 0x2f, 0xda, 0x0a, 0x9a, 0xa3, + 0x4c, 0xa9, 0x68, 0x27, 0x7f, 0xa7, 0x26, 0x58, 0xf0, 0xac, 0xf6, 0x97, + 0x38, 0xf9, 0xc0, 0x0a, 0x2a, 0x68, 0x7e, 0x41, 0x90, 0x14, 0x8a, 0x90, + 0xd3, 0x2f, 0x88, 0x40, 0xab, 0xfa, 0x17, 0x24, 0xd9, 0x68, 0x9b, 0xf4, + 0x35, 0x5f, 0xb9, 0x7c, 0xaa, 0xa7, 0x4f, 0x57, 0x10, 0x62, 0xdb, 0x62, + 0xc8, 0xbc, 0x86, 0xd1, 0x6e, 0xda, 0x5d, 0xa8, 0x27, 0x10, 0x65, 0x45, + 0x47, 0xc1, 0x1a, 0x5c, 0xb5, 0x1f, 0x4d, 0x33, 0xe1, 0x3f, 0x41, 0xfb, + 0x60, 0x56, 0xf1, 0xe5, 0x00, 0x6b, 0x08, 0xc4, 0x4e, 0x63, 0xcf, 0xda, + 0x1e, 0xa9, 0xd2, 0xad, 0x4b, 0xa2, 0x26, 0xf3, 0xae, 0x6a, 0xbb, 0x40, + 0x7c, 0x06, 0x66, 0xd3, 0x2a, 0xf1, 0x2f, 0xe7, 0xfa, 0x23, 0x52, 0x63, + 0x87, 0xe0, 0xc0, 0x42, 0x32, 0xa3, 0x46, 0x43, 0xe9, 0x4c, 0xc1, 0x6f, + 0xc7, 0x00, 0x44, 0xf9, 0x86, 0xea, 0xe0, 0x2a, 0x4a, 0x63, 0x51, 0xc9, + 0x07, 0xc8, 0x88, 0x77, 0x51, 0xb2, 0xa2, 0x5b, 0xb6, 0xf4, 0x11, 0xfc, + 0xbf, 0xc8, 0xb1, 0x32, 0x84, 0xc7, 0x50, 0x99, 0xea, 0x6b, 0x2a, 0x85, + 0x60, 0x74, 0x33, 0x38, 0x02, 0xe8, 0x09, 0x1a, 0x60, 0xfe, 0xe7, 0x3a, + 0xd2, 0x3a, 0xf0, 0xa3, 0x50, 0x84, 0x5a, 0x29, 0x7f, 0x12, 0xd2, 0x62, + 0xa7, 0x91, 0x82, 0x3f, 0x50, 0x96, 0x79, 0xab, 0x65, 0xfd, 0x3d, 0x5e, + 0x22, 0xe6, 0x3c, 0x59, 0x94, 0x79, 0xf2, 0xea, 0x93, 0x2b, 0x13, 0xc3, + 0x35, 0x2b, 0x35, 0xc3, 0xab, 0x07, 0x62, 0x1e, 0x76, 0xff, 0xe5, 0xcb, + 0x5a, 0x09, 0x8e, 0xa6, 0x9c, 0x27, 0x34, 0x9a, 0x28, 0xbd, 0x42, 0x98, + 0xda, 0x40, 0x6d, 0x20, 0xf1, 0xee, 0x17, 0x29, 0xec, 0x38, 0x9f, 0x66, + 0x1b, 0xc5, 0x40, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_3072 */ +static const unsigned char sub2_prime_safe_3072[] = { + 0x43, 0xb3, 0x6f, 0xfb, 0xf6, 0x24, 0xb5, 0x4d, 0x3e, 0x4b, 0x14, 0x57, + 0x33, 0x9c, 0x55, 0xfd, 0x7f, 0x2e, 0x23, 0x3d, 0xf7, 0xf4, 0x8c, 0x53, + 0x3b, 0x59, 0x72, 0x87, 0x5f, 0x5c, 0x79, 0x40, 0x1b, 0x04, 0xc1, 0x22, + 0x3d, 0xf4, 0x74, 0x66, 0x44, 0x93, 0xb4, 0x02, 0xf0, 0x70, 0x9b, 0xeb, + 0xdf, 0xed, 0x86, 0x7b, 0x24, 0x29, 0x0b, 0x9f, 0xba, 0xe2, 0xa7, 0x5a, + 0x1e, 0xfc, 0x26, 0x75, 0x5a, 0x05, 0x83, 0x02, 0x0a, 0xc4, 0xbe, 0x5d, + 0x79, 0xfa, 0xef, 0x33, 0x37, 0x3e, 0x98, 0x62, 0x10, 0x02, 0xed, 0x19, + 0x07, 0xff, 0xbc, 0xb8, 0xa2, 0x4d, 0x88, 0x07, 0xf8, 0xdd, 0x98, 0xef, + 0x33, 0xc8, 0x75, 0x3b, 0xd6, 0xb2, 0xeb, 0x82, 0xba, 0xd5, 0xb3, 0x79, + 0x73, 0x29, 0x56, 0x79, 0x55, 0x53, 0xe9, 0x22, 0xec, 0xe3, 0x21, 0x1c, + 0x93, 0x8f, 0xa3, 0x42, 0x56, 0xbc, 0x5a, 0x7d, 0x42, 0x7c, 0x4d, 0x9f, + 0x65, 0xe0, 0xcc, 0xf2, 0x9a, 0xa1, 0x13, 0x02, 0xf5, 0x56, 0x28, 0x82, + 0x27, 0xc5, 0x4c, 0x12, 0xd3, 0xa3, 0x55, 0xbd, 0xf6, 0xdc, 0x54, 0x85, + 0x92, 0x11, 0xc1, 0x91, 0x8b, 0x43, 0xb2, 0x48, 0x86, 0x5f, 0x8f, 0xde, + 0x76, 0x25, 0x6e, 0x89, 0x15, 0x86, 0x54, 0x9c, 0xcb, 0x62, 0x61, 0xe7, + 0xd2, 0x9c, 0x20, 0x06, 0xb7, 0x68, 0x7d, 0x05, 0x06, 0x1f, 0x74, 0xba, + 0x85, 0xb8, 0x14, 0x34, 0x5e, 0x7e, 0xfb, 0x61, 0x4d, 0x2c, 0xc8, 0x90, + 0x2e, 0x38, 0x7f, 0x18, 0xd3, 0x28, 0x43, 0xcd, 0x35, 0x30, 0x90, 0x16, + 0x3b, 0xc2, 0x40, 0xd4, 0x1f, 0x64, 0xd4, 0x39, 0x58, 0x29, 0xa1, 0xc2, + 0x8e, 0x4d, 0x9d, 0x6e, 0xf7, 0x84, 0xbe, 0xe3, 0xb4, 0x63, 0x77, 0x84, + 0x67, 0x23, 0xd0, 0x6e, 0x2d, 0xed, 0x97, 0x96, 0x9a, 0x71, 0xef, 0x4a, + 0xfb, 0x35, 0xb6, 0xae, 0xc8, 0xdf, 0x22, 0xf7, 0x16, 0x82, 0x49, 0xbc, + 0x63, 0xd2, 0x24, 0xe6, 0x38, 0xd4, 0x2e, 0xec, 0x45, 0x3f, 0x4f, 0x27, + 0x88, 0x64, 0xa0, 0xe8, 0xb1, 0x60, 0xb8, 0x24, 0x5a, 0x89, 0x08, 0x91, + 0xd3, 0x72, 0x6f, 0xb2, 0x56, 0x6c, 0xf2, 0x1b, 0xe1, 0x5c, 0x91, 0xd3, + 0xa0, 0x75, 0x3f, 0xaa, 0x71, 0xf7, 0xb8, 0xc0, 0xda, 0x73, 0x82, 0x88, + 0x6b, 0x15, 0xea, 0x88, 0xc2, 0x2d, 0x34, 0xd2, 0xd6, 0x29, 0x36, 0xd4, + 0x3c, 0x93, 0xff, 0x8e, 0x01, 0x68, 0xb1, 0x1b, 0x01, 0xd1, 0x54, 0xa3, + 0x36, 0x27, 0xe5, 0x2c, 0x79, 0x59, 0x76, 0xc8, 0xda, 0x4f, 0x2d, 0xee, + 0xfc, 0xcc, 0xdb, 0x46, 0xb8, 0x1a, 0x05, 0x62, 0xa6, 0xeb, 0xe7, 0x45, + 0xf8, 0xa8, 0x12, 0xc4, 0xff, 0xf3, 0xf9, 0x0f, 0x5c, 0x90, 0xd9, 0xc5, + 0xe4, 0x21, 0x3e, 0x13, 0x77, 0xa6, 0x18, 0x46, 0xb0, 0x5b, 0x92, 0xfd, +}; + +/* q=(p-1)/2 for prime prime_safe_4096 */ +static const unsigned char sub2_prime_safe_4096[] = { + 0x45, 0xef, 0xe0, 0xd1, 0xf2, 0x5e, 0x8e, 0x58, 0xfa, 0x58, 0xa8, 0xe9, + 0xc5, 0x67, 0x1e, 0x99, 0xac, 0x40, 0x51, 0x8e, 0x3e, 0x06, 0xde, 0xc7, + 0x5e, 0xd9, 0xf3, 0xcf, 0x6a, 0x6f, 0x03, 0x7e, 0x4c, 0x57, 0x80, 0xa1, + 0xc9, 0x96, 0x7e, 0x7d, 0xc9, 0x40, 0x70, 0x37, 0x7c, 0xfb, 0x55, 0xb9, + 0xcb, 0x46, 0xbf, 0x60, 0x75, 0x93, 0x36, 0x06, 0x29, 0x83, 0x4f, 0x99, + 0x25, 0xd6, 0xa9, 0xea, 0xdf, 0xc8, 0x9a, 0x8b, 0x7e, 0xbf, 0xdd, 0x18, + 0x5b, 0x5a, 0x44, 0x08, 0x0f, 0xad, 0x60, 0x31, 0x7c, 0xbf, 0xb8, 0xcd, + 0xda, 0x88, 0x25, 0xcc, 0xe8, 0x78, 0x74, 0xe1, 0x77, 0x1a, 0x92, 0x75, + 0xe6, 0x77, 0x03, 0x5f, 0xd0, 0x02, 0xf2, 0x30, 0xd2, 0x53, 0x4c, 0x11, + 0xe8, 0x72, 0x45, 0x30, 0xe5, 0x02, 0xc5, 0x36, 0x4c, 0x7d, 0x41, 0xe1, + 0xa8, 0x3e, 0xaa, 0x9d, 0x97, 0x6a, 0xd6, 0x0a, 0x30, 0xc3, 0x68, 0xda, + 0xe7, 0xe0, 0x6e, 0x34, 0xa5, 0xb6, 0x25, 0x62, 0xeb, 0xff, 0x70, 0x74, + 0x0d, 0x32, 0x08, 0xed, 0xab, 0x78, 0x0e, 0x4a, 0xae, 0x68, 0xb5, 0x5c, + 0xfb, 0x71, 0x00, 0x7a, 0x11, 0x01, 0x81, 0x95, 0x5e, 0x4e, 0x41, 0x75, + 0xc4, 0x8d, 0x6e, 0xca, 0x32, 0x81, 0x22, 0x30, 0xbb, 0x60, 0xd7, 0x6c, + 0x65, 0x7e, 0xb3, 0x7a, 0x4b, 0x73, 0xbc, 0xff, 0x1d, 0x4c, 0x78, 0xc0, + 0x01, 0x7d, 0x21, 0x5b, 0xd7, 0x75, 0x9c, 0x94, 0x61, 0xdc, 0xe7, 0x46, + 0x38, 0xf5, 0x0a, 0x3a, 0x43, 0x36, 0x13, 0x6a, 0x8a, 0x90, 0xcb, 0x86, + 0x41, 0x46, 0xc0, 0xc2, 0x62, 0xa3, 0x88, 0x03, 0x33, 0xd4, 0x2f, 0xd8, + 0xe2, 0x99, 0x6e, 0x3f, 0xf3, 0x30, 0xf2, 0xf5, 0xcf, 0x54, 0xb0, 0xcc, + 0xa1, 0xd4, 0xc5, 0xf6, 0xd7, 0xf2, 0x10, 0xf7, 0xc7, 0x3c, 0x2d, 0x30, + 0xaa, 0xce, 0xa1, 0xed, 0xbb, 0xd5, 0x5d, 0x8c, 0xf5, 0x27, 0xa4, 0xa9, + 0xc0, 0x67, 0x3e, 0x4d, 0x75, 0x53, 0x49, 0xac, 0x6a, 0x55, 0xfa, 0x74, + 0xb0, 0x3e, 0xe5, 0x59, 0x4b, 0xd2, 0xf0, 0x49, 0x67, 0x76, 0x2b, 0xde, + 0x62, 0x82, 0xbb, 0x08, 0xbc, 0x81, 0xf0, 0xd9, 0x4c, 0xe0, 0x90, 0xea, + 0x42, 0xf3, 0xb7, 0xe4, 0xac, 0x74, 0x0e, 0x06, 0xe4, 0x48, 0x22, 0x26, + 0x2c, 0x2a, 0xcd, 0x77, 0x6f, 0x31, 0x07, 0x59, 0x71, 0xde, 0x75, 0xa8, + 0xa0, 0x02, 0xb8, 0xff, 0x5a, 0x74, 0xf3, 0x7b, 0x07, 0x6b, 0xdd, 0x8d, + 0xdc, 0x4c, 0xf4, 0x64, 0xed, 0x4f, 0xef, 0x1e, 0x09, 0xec, 0x8b, 0x22, + 0x9e, 0xd6, 0x71, 0x04, 0xe1, 0xc3, 0xdd, 0x9c, 0xc6, 0x37, 0x88, 0xb0, + 0x43, 0x8f, 0xd7, 0xd3, 0xee, 0x09, 0x47, 0xbe, 0xa6, 0x2f, 0x2b, 0x61, + 0xb1, 0x6e, 0xee, 0x81, 0xaa, 0xcf, 0x12, 0x36, 0x62, 0xb6, 0x5c, 0x07, + 0x57, 0x88, 0xea, 0x8f, 0x35, 0x1b, 0x4e, 0x65, 0x23, 0x1a, 0x09, 0x95, + 0xe8, 0xd1, 0x9a, 0x16, 0x41, 0x8d, 0x92, 0xe6, 0x0b, 0x80, 0xce, 0x34, + 0x29, 0xdb, 0xc3, 0xf6, 0x87, 0x24, 0x6b, 0xb4, 0xfc, 0xe4, 0x0e, 0xc5, + 0xb8, 0xfa, 0x37, 0xe8, 0xd8, 0xea, 0xb8, 0x50, 0x6b, 0xb8, 0x9e, 0xcf, + 0xfe, 0x7d, 0x1a, 0xb4, 0x92, 0xf9, 0x9c, 0xbc, 0xd6, 0xbd, 0x80, 0xe2, + 0xb3, 0x52, 0xf8, 0x63, 0x8e, 0x5b, 0x28, 0xf2, 0x81, 0x15, 0xe7, 0xe0, + 0x95, 0x48, 0xce, 0xd2, 0xdf, 0x9b, 0x9b, 0xee, 0x97, 0x18, 0x20, 0x6d, + 0xdf, 0xf6, 0x7f, 0x36, 0x16, 0x74, 0x90, 0x77, 0x44, 0xd6, 0x2a, 0xd7, + 0x81, 0xad, 0x5d, 0x2d, 0x29, 0x7d, 0xdf, 0xda, 0xd7, 0x1c, 0x10, 0x52, + 0xb4, 0x49, 0x2f, 0xf6, 0x0b, 0xd4, 0xc0, 0x29, 0xf9, 0x1d, 0x86, 0x04, + 0xf9, 0xf5, 0x8a, 0xb1, 0x47, 0x1c, 0xbd, 0xb5, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_safe_6144 */ +static const unsigned char sub2_prime_safe_6144[] = { + 0x5c, 0x87, 0xe0, 0xa0, 0xa5, 0x6f, 0x0d, 0x0e, 0x40, 0x50, 0x6b, 0x1c, + 0xc0, 0x88, 0x79, 0x84, 0xe5, 0x60, 0x30, 0x46, 0x2f, 0x46, 0x0b, 0x90, + 0xd0, 0x0c, 0x28, 0x6b, 0x30, 0x09, 0xfe, 0x1c, 0x00, 0x13, 0x6c, 0xb8, + 0xe9, 0x39, 0xfe, 0x2e, 0x86, 0x78, 0x90, 0x67, 0x3b, 0x22, 0x5d, 0xc5, + 0xae, 0x64, 0x2d, 0x2c, 0x86, 0x66, 0xa4, 0x5d, 0x5f, 0xc3, 0x39, 0x6d, + 0x7a, 0xde, 0xbe, 0x0e, 0xa0, 0xdd, 0x74, 0x4f, 0xc6, 0x61, 0x0c, 0x13, + 0xfd, 0x5e, 0x63, 0x67, 0xec, 0x23, 0xfa, 0xf4, 0xb8, 0xe6, 0x1b, 0x9a, + 0x61, 0xcd, 0xad, 0x7f, 0xe1, 0x86, 0x55, 0x8e, 0xcb, 0xc6, 0x13, 0x4a, + 0xc6, 0x78, 0x85, 0x2e, 0x91, 0x42, 0x2d, 0x3e, 0x79, 0x68, 0xc5, 0xbe, + 0x37, 0x8b, 0x84, 0x89, 0x80, 0x64, 0xef, 0xbc, 0xf0, 0xb7, 0x64, 0x7c, + 0x69, 0xe0, 0xee, 0xd9, 0x7a, 0x12, 0x15, 0x7d, 0x2e, 0x33, 0x12, 0x95, + 0x9c, 0xe8, 0x9c, 0xa4, 0x7d, 0x3b, 0x27, 0xab, 0xd1, 0x90, 0x61, 0x9c, + 0x17, 0x42, 0xb3, 0x98, 0xc9, 0x42, 0x9e, 0x38, 0x11, 0x8a, 0x76, 0x36, + 0x42, 0x94, 0x70, 0x27, 0xe6, 0x63, 0x1d, 0xe7, 0x8c, 0x98, 0x1d, 0x80, + 0xff, 0x4f, 0x0b, 0x32, 0x8e, 0x7a, 0x18, 0x86, 0x4e, 0x91, 0xa0, 0x42, + 0xb6, 0x6e, 0xf2, 0xfb, 0xc8, 0x12, 0xb4, 0xbd, 0x1e, 0x6b, 0x72, 0x21, + 0x36, 0x43, 0x82, 0x03, 0x53, 0xc1, 0x0e, 0xfe, 0x2f, 0x6c, 0x81, 0xb0, + 0x10, 0x4d, 0x2e, 0x35, 0x7f, 0x29, 0x86, 0x82, 0xc9, 0x0d, 0xd0, 0xed, + 0xfd, 0x00, 0x97, 0xc2, 0x44, 0xf0, 0x2b, 0x33, 0x3f, 0x71, 0xf3, 0x4c, + 0xa6, 0xd9, 0xe9, 0x78, 0x67, 0x79, 0xef, 0x82, 0x86, 0xab, 0xa1, 0x66, + 0xfe, 0x03, 0x1e, 0x73, 0x88, 0x9a, 0x3f, 0xa8, 0xc7, 0x5b, 0x92, 0x00, + 0xf1, 0x93, 0x23, 0xf3, 0xe8, 0xab, 0x87, 0x07, 0x78, 0x89, 0x62, 0xbc, + 0x96, 0xc3, 0x87, 0xd8, 0x8c, 0xb5, 0x6b, 0xa2, 0x19, 0xa3, 0x26, 0x5e, + 0x62, 0xe3, 0x12, 0x7c, 0x3e, 0x3d, 0x30, 0xff, 0x39, 0x4a, 0x90, 0xe6, + 0xe8, 0x9d, 0x69, 0xae, 0xbb, 0xbb, 0x5e, 0xc3, 0x6c, 0x5e, 0xc7, 0x2f, + 0x79, 0x72, 0x90, 0x00, 0xec, 0xda, 0x23, 0xfb, 0x8e, 0x28, 0xb8, 0x1c, + 0xb5, 0x63, 0xf5, 0x76, 0xc8, 0x6b, 0xe2, 0x69, 0xe6, 0xc7, 0x25, 0xec, + 0x08, 0xf8, 0x69, 0xb3, 0x1b, 0x3b, 0xf1, 0x0b, 0x09, 0xde, 0xe9, 0x2a, + 0x25, 0x0e, 0x30, 0xaa, 0x44, 0x0d, 0x34, 0xc2, 0xcf, 0xae, 0xe2, 0xdb, + 0xb1, 0x3f, 0x39, 0x05, 0x44, 0xc8, 0x12, 0x47, 0x9c, 0xd9, 0x79, 0x5b, + 0x09, 0x47, 0x28, 0x5a, 0x69, 0xf5, 0x61, 0xd6, 0x75, 0x46, 0x93, 0x8b, + 0xde, 0x83, 0xe9, 0x0a, 0xc0, 0x24, 0xf0, 0x4b, 0xa0, 0x8b, 0x6b, 0x1d, + 0x92, 0x74, 0x45, 0xfe, 0xd1, 0x8c, 0x5e, 0xa9, 0x2e, 0xf1, 0x10, 0xe7, + 0x3e, 0x37, 0x88, 0x1c, 0x38, 0x32, 0x62, 0x0a, 0xf9, 0x94, 0x63, 0x33, + 0x7e, 0x68, 0x91, 0x02, 0x40, 0x40, 0x63, 0x62, 0xba, 0xfa, 0xee, 0x58, + 0x20, 0x25, 0x89, 0x7d, 0x6d, 0xea, 0x9b, 0x66, 0x98, 0xd5, 0xeb, 0x8e, + 0x8c, 0x03, 0xce, 0x84, 0xcd, 0x8b, 0x50, 0x7f, 0x0f, 0x37, 0x9f, 0x9a, + 0x2d, 0x73, 0x38, 0x42, 0xcc, 0x18, 0x6a, 0x4a, 0x62, 0xf8, 0x1b, 0x1a, + 0xd0, 0xf6, 0xa3, 0x31, 0x9e, 0x07, 0xe7, 0xe2, 0xcf, 0x3e, 0x34, 0x12, + 0xb2, 0x49, 0x98, 0x1b, 0x1c, 0x58, 0xcc, 0xb6, 0x1b, 0xfa, 0xe7, 0xb2, + 0x25, 0xf7, 0xd3, 0x7f, 0xb5, 0x55, 0x55, 0x5b, 0x14, 0xf6, 0x9c, 0x40, + 0x0f, 0xac, 0x1a, 0xc4, 0x1f, 0x80, 0x8e, 0x64, 0x11, 0xa4, 0x1b, 0xd3, + 0xe9, 0x58, 0xd8, 0xf7, 0x22, 0x2c, 0x85, 0x7d, 0x82, 0xec, 0xf0, 0xad, + 0xa9, 0x9a, 0x4e, 0xcc, 0x98, 0x14, 0x54, 0x9d, 0xc7, 0x0d, 0xd6, 0x45, + 0x48, 0x48, 0xe4, 0xb8, 0xc5, 0x75, 0x5c, 0x88, 0xea, 0xb3, 0xc3, 0xa7, + 0xed, 0x93, 0xa7, 0xbf, 0xdc, 0x2a, 0x3f, 0xaf, 0x0c, 0x04, 0x7b, 0xf9, + 0x8e, 0x01, 0x1d, 0x02, 0x6f, 0x66, 0x08, 0x03, 0x3f, 0x0a, 0xe1, 0x92, + 0x06, 0x6f, 0x86, 0xfc, 0x43, 0x60, 0x26, 0x55, 0x87, 0xba, 0x82, 0x5f, + 0x79, 0xc8, 0x14, 0x68, 0x91, 0x0b, 0xcb, 0x66, 0x14, 0x88, 0x84, 0xd3, + 0xa9, 0xa1, 0x75, 0x48, 0xa8, 0xd7, 0xaa, 0xd0, 0x81, 0xb3, 0xbc, 0x31, + 0xd9, 0xd8, 0x07, 0xac, 0xae, 0x9b, 0xf3, 0x98, 0x45, 0xe5, 0x50, 0x22, + 0x89, 0x3d, 0x52, 0x84, 0xfd, 0xd3, 0x4c, 0xee, 0xfb, 0xf4, 0x98, 0x2d, + 0x61, 0x4e, 0x86, 0xef, 0x9c, 0xcc, 0x92, 0x86, 0xd9, 0x2b, 0xdb, 0x3c, + 0x01, 0x18, 0x7c, 0x43, 0x6f, 0x3c, 0xda, 0x5f, 0x1f, 0x29, 0xff, 0xba, + 0x07, 0xa6, 0x98, 0x16, 0xf3, 0x2b, 0xa5, 0x2b, 0xa9, 0x9d, 0x05, 0x8c, + 0xc3, 0x55, 0xc8, 0x72, 0x99, 0xc2, 0x29, 0xbd, 0x0b, 0xe2, 0xf8, 0xc6, + 0x61, 0xf2, 0x08, 0xa9, 0x95, 0xda, 0xda, 0x47, 0x73, 0x69, 0x02, 0x21, + 0xad, 0xb5, 0x18, 0x63, 0xe5, 0x57, 0xc8, 0xe0, 0x3b, 0x21, 0xc3, 0x32, + 0xf7, 0x66, 0xc1, 0x5f, 0x51, 0x6c, 0x16, 0xd6, 0xf5, 0xda, 0x8d, 0x5a, + 0xdf, 0xd0, 0xf3, 0xc9, 0xa8, 0x0a, 0x84, 0x13, 0x93, 0x9e, 0x66, 0x29, + 0xc1, 0x33, 0xea, 0x79, 0x06, 0x93, 0x30, 0x43, 0x82, 0x97, 0x55, 0x31, + 0x2a, 0xe6, 0x4d, 0x77, 0x16, 0x10, 0x11, 0x8a, 0x7d, 0x2e, 0x14, 0xa0, + 0xf0, 0xc4, 0xc1, 0x8c, 0xe0, 0x9b, 0x46, 0x52, 0x48, 0xfb, 0x20, 0x1b, + 0xb8, 0x15, 0x06, 0xc1, 0x5d, 0xab, 0x37, 0x11, 0x9a, 0x5c, 0xb7, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_8192 */ +static const unsigned char sub2_prime_safe_8192[] = { + 0x4d, 0xd3, 0xcd, 0xd1, 0x43, 0x2a, 0x73, 0xcc, 0x88, 0xad, 0x9a, 0xc0, + 0xea, 0xbd, 0x45, 0x37, 0x26, 0xa6, 0xb0, 0xae, 0xe9, 0xe7, 0x86, 0x32, + 0xbf, 0x6d, 0x6c, 0x67, 0x14, 0x56, 0x50, 0x1c, 0x40, 0xf7, 0x50, 0x8a, + 0x12, 0x90, 0xb3, 0xb3, 0x1d, 0x36, 0x07, 0xc0, 0x1e, 0xc4, 0xbc, 0xff, + 0x38, 0xa1, 0xab, 0xe1, 0xd4, 0xaa, 0x0f, 0x10, 0x45, 0x77, 0x07, 0xd3, + 0x45, 0xc4, 0x40, 0x9e, 0xf4, 0x2e, 0x20, 0x23, 0x82, 0xef, 0xec, 0x36, + 0xcc, 0x32, 0x8b, 0x54, 0xfc, 0xe2, 0x46, 0x01, 0x5d, 0x57, 0x35, 0x9b, + 0x3b, 0x64, 0xfd, 0x47, 0x68, 0x6b, 0xcd, 0x1e, 0x65, 0xe8, 0xa2, 0x04, + 0xeb, 0xa7, 0x94, 0x28, 0xca, 0x49, 0x2d, 0x81, 0x59, 0x5e, 0xbc, 0x69, + 0xe1, 0x3b, 0x01, 0x8a, 0x8b, 0x85, 0xaa, 0x84, 0x01, 0x21, 0x4f, 0x13, + 0x2b, 0x19, 0xb9, 0x73, 0x5e, 0x87, 0x7c, 0x9e, 0x96, 0x59, 0xc5, 0x26, + 0x33, 0x8b, 0xfe, 0xf4, 0x81, 0xd6, 0xc6, 0x1a, 0x42, 0x72, 0xc1, 0xef, + 0xce, 0x02, 0x49, 0x81, 0x93, 0x0c, 0xe0, 0xf8, 0x92, 0x34, 0x7b, 0x2a, + 0x4b, 0x67, 0x1c, 0x28, 0xde, 0xb6, 0x1e, 0xce, 0x06, 0x6c, 0x37, 0x09, + 0xa6, 0x45, 0xfb, 0x1a, 0x57, 0x6c, 0x42, 0x8e, 0x8e, 0xc7, 0x61, 0x56, + 0xd5, 0xd1, 0x62, 0xa0, 0x3b, 0x3f, 0x97, 0x97, 0x1c, 0x7a, 0x35, 0x1c, + 0x99, 0x9e, 0x8b, 0xe7, 0x0f, 0xf4, 0xe1, 0xc6, 0xcf, 0x72, 0xdf, 0x6b, + 0x56, 0xcd, 0x11, 0xec, 0x03, 0x79, 0xbe, 0x1c, 0xea, 0xd7, 0x2b, 0xdb, + 0x72, 0xe1, 0xcd, 0x45, 0x46, 0x37, 0x69, 0xe0, 0x8d, 0x32, 0x09, 0x00, + 0x0c, 0x29, 0xe5, 0x19, 0x44, 0x47, 0x60, 0x2f, 0x96, 0xd9, 0x1e, 0x8a, + 0x0d, 0xac, 0x2e, 0x10, 0x74, 0x29, 0x72, 0x94, 0x20, 0xde, 0x4f, 0x04, + 0x14, 0xd5, 0xd2, 0xa1, 0xcc, 0x87, 0x6b, 0x95, 0x5c, 0xdc, 0x32, 0x4e, + 0xc1, 0xf1, 0x8d, 0x13, 0x2c, 0xb2, 0xf9, 0x06, 0x64, 0xe2, 0xc7, 0x86, + 0xe7, 0xd0, 0x8c, 0x7e, 0x45, 0xbb, 0xf4, 0xf0, 0x8c, 0xbd, 0x81, 0xea, + 0x1b, 0xc6, 0xae, 0x9b, 0x95, 0xd6, 0xac, 0x2f, 0x39, 0xb9, 0x67, 0x42, + 0x72, 0xe4, 0xba, 0x8e, 0xf9, 0xac, 0x21, 0x3b, 0xff, 0x29, 0xd0, 0x61, + 0x33, 0x10, 0xd7, 0xf1, 0x30, 0xe9, 0x42, 0x59, 0x81, 0xa6, 0xec, 0x3e, + 0xc2, 0xf0, 0xd4, 0x50, 0x24, 0x2e, 0x8d, 0x54, 0xd6, 0x60, 0xb4, 0x92, + 0x63, 0x7d, 0x5a, 0x91, 0x1f, 0x51, 0xc6, 0x9a, 0x94, 0xe7, 0xcd, 0x72, + 0xc2, 0x1d, 0x85, 0x93, 0x9b, 0x3f, 0x4e, 0xd3, 0x58, 0x22, 0xb0, 0x21, + 0x0f, 0x25, 0x92, 0x68, 0x9b, 0x45, 0xb8, 0x68, 0xca, 0xaa, 0x0a, 0x5c, + 0xa3, 0x9e, 0xc6, 0xf2, 0x2f, 0xc0, 0x8d, 0x10, 0x8b, 0x8b, 0xdf, 0xc9, + 0x11, 0x26, 0x3b, 0x98, 0x6e, 0x4e, 0x42, 0x73, 0x34, 0x66, 0x6b, 0x08, + 0x82, 0x7f, 0xb8, 0xc3, 0x59, 0xd4, 0xcd, 0x89, 0xca, 0x9a, 0xfe, 0xb4, + 0x14, 0x4d, 0xb7, 0xae, 0x7b, 0xb3, 0x54, 0x37, 0xc4, 0x87, 0xc9, 0x6f, + 0xa9, 0x12, 0x1f, 0xed, 0x97, 0xa0, 0x09, 0x19, 0x52, 0x7f, 0x97, 0x25, + 0xdc, 0x50, 0x73, 0xe4, 0xe5, 0xcc, 0x09, 0xfc, 0xe9, 0x7d, 0x41, 0x34, + 0x59, 0x47, 0xe9, 0x8b, 0xc6, 0x49, 0xfa, 0xc0, 0x72, 0x2d, 0x19, 0x8d, + 0xb5, 0x6c, 0x5f, 0x9b, 0xd3, 0xf0, 0xb1, 0x8e, 0xb5, 0x61, 0xfd, 0x50, + 0x97, 0xe0, 0xb9, 0x2a, 0xea, 0xf1, 0x33, 0x9d, 0xb5, 0x9d, 0x54, 0x58, + 0x2a, 0x02, 0x0e, 0xdd, 0xe0, 0xf2, 0x9d, 0x29, 0x58, 0xb3, 0x85, 0x89, + 0x1f, 0x66, 0xd4, 0xcd, 0x07, 0x5d, 0xd1, 0xba, 0xb6, 0xb7, 0xbb, 0xba, + 0x32, 0x71, 0x8b, 0x46, 0x52, 0xdd, 0x76, 0x28, 0xb9, 0xe7, 0x25, 0xf3, + 0x37, 0x9e, 0x8a, 0xab, 0x21, 0xf0, 0x8b, 0xbb, 0xb3, 0x55, 0xee, 0x4e, + 0xcd, 0x88, 0x2e, 0xe2, 0x74, 0x8f, 0x55, 0x16, 0x8a, 0xdd, 0xe2, 0x04, + 0xa3, 0x18, 0x70, 0xdc, 0x49, 0x4a, 0x2f, 0xdb, 0xf3, 0xbf, 0x4b, 0xa1, + 0xe0, 0x24, 0x2d, 0xd7, 0xf5, 0x3a, 0x57, 0x46, 0x3c, 0xb5, 0xb3, 0x41, + 0xb1, 0x44, 0x0b, 0xd2, 0x2b, 0x2e, 0xac, 0x7d, 0xb6, 0x1c, 0x2b, 0xa6, + 0xf7, 0xeb, 0x9b, 0x22, 0x1c, 0xad, 0xd5, 0xca, 0x72, 0x04, 0x18, 0x69, + 0x96, 0x2c, 0xd0, 0x19, 0x71, 0x38, 0xcc, 0xf6, 0x33, 0x2f, 0x7b, 0xf1, + 0x4e, 0x0c, 0xb4, 0xb9, 0x37, 0xed, 0x9f, 0x66, 0x0c, 0xad, 0x7e, 0xd6, + 0xeb, 0x37, 0x4e, 0x83, 0xe0, 0x32, 0x80, 0xba, 0xee, 0x9b, 0x8d, 0xce, + 0x2f, 0x49, 0x99, 0x7c, 0x3f, 0x32, 0xea, 0xda, 0x8a, 0x9a, 0xd6, 0x82, + 0xda, 0xe9, 0x12, 0xe3, 0xb8, 0xad, 0x72, 0x5b, 0xac, 0x35, 0x61, 0xad, + 0x6c, 0xea, 0x77, 0x19, 0x5a, 0x85, 0xad, 0x95, 0x66, 0xc0, 0x67, 0x6a, + 0x16, 0xe4, 0x84, 0xca, 0x7a, 0xf9, 0x3e, 0x57, 0xdd, 0x2d, 0x69, 0xee, + 0x66, 0xeb, 0xfb, 0xf5, 0x21, 0x71, 0x61, 0x1a, 0x10, 0xdc, 0x8a, 0x92, + 0x74, 0x19, 0x35, 0xb7, 0xd8, 0x76, 0xbb, 0x2f, 0x22, 0xdf, 0x81, 0x51, + 0x5c, 0x1e, 0x52, 0xfa, 0xba, 0x71, 0x8c, 0x44, 0x90, 0xa7, 0x53, 0x04, + 0x51, 0xd2, 0xc9, 0xb4, 0xa4, 0x4b, 0x5e, 0xa3, 0xe9, 0xf5, 0xb3, 0x94, + 0xd4, 0x5d, 0xdf, 0x3c, 0x02, 0xfd, 0x23, 0x44, 0xa7, 0x06, 0x71, 0x36, + 0x5d, 0xf2, 0xfc, 0x5d, 0x72, 0xae, 0x94, 0xf3, 0xee, 0xb8, 0xbf, 0x4a, + 0x6b, 0xab, 0x06, 0x1e, 0x6f, 0x2f, 0xde, 0x6e, 0x07, 0xc7, 0x6b, 0x37, + 0x85, 0x03, 0xdc, 0x03, 0x92, 0x31, 0x26, 0x76, 0xa2, 0xa7, 0x86, 0xcf, + 0x97, 0x41, 0xb5, 0x75, 0xde, 0x7f, 0xd4, 0xf9, 0x39, 0xd9, 0xad, 0xd5, + 0x56, 0x76, 0xd6, 0x44, 0x51, 0x06, 0xc6, 0xc7, 0xda, 0x7b, 0xb9, 0x8f, + 0x60, 0x17, 0x69, 0xa2, 0x8a, 0xa5, 0xa5, 0x73, 0xea, 0x77, 0xd8, 0xe3, + 0x69, 0xc7, 0xfc, 0x12, 0x09, 0x19, 0x9f, 0x47, 0x4a, 0xde, 0x40, 0xda, + 0x6a, 0x68, 0x89, 0xde, 0x3f, 0x12, 0xda, 0x2d, 0xff, 0x8a, 0xdd, 0x7c, + 0x4d, 0x76, 0x3c, 0x72, 0x31, 0xe3, 0x93, 0x6a, 0xc4, 0x9e, 0xb1, 0xad, + 0xbe, 0x43, 0x31, 0x9a, 0x03, 0x14, 0x11, 0x84, 0x7f, 0xb6, 0xde, 0xf0, + 0x3a, 0xd9, 0xb8, 0x89, 0x13, 0x31, 0xe5, 0x49, 0x9b, 0x43, 0x75, 0xfb, + 0xa4, 0x68, 0xcb, 0x7a, 0x01, 0x1f, 0x2e, 0xb4, 0xba, 0xaf, 0x4a, 0xf7, + 0x19, 0x5c, 0xdd, 0x2a, 0xe2, 0xa1, 0x3a, 0x00, 0x70, 0x87, 0x8b, 0x02, + 0xb1, 0x1e, 0x2c, 0x65, 0xf0, 0x6a, 0x54, 0xf2, 0x8d, 0x1d, 0xc2, 0x3f, + 0x0c, 0xc3, 0xd6, 0xb3, 0xe6, 0xcd, 0xcb, 0xd8, 0x19, 0x6b, 0xdc, 0x0f, + 0x4b, 0x34, 0xba, 0x87, 0xb0, 0xb4, 0xd9, 0xe4, 0xe7, 0x39, 0xbe, 0x2f, + 0xea, 0x84, 0x6f, 0xea, 0x03, 0xba, 0xb0, 0x6b, 0xa8, 0x29, 0x73, 0xae, + 0x37, 0x82, 0x2c, 0xb2, 0xde, 0xb8, 0x4c, 0x8a, 0xfc, 0xde, 0x1a, 0x3c, + 0x35, 0x32, 0x56, 0x2f, 0x83, 0xe1, 0x44, 0xc4, 0x7f, 0x08, 0xbd, 0x7b, + 0x9e, 0xdf, 0x41, 0xff, 0xf5, 0x8e, 0xa9, 0x5f, 0x6a, 0x04, 0xb8, 0x87, + 0xbe, 0x4a, 0x8c, 0xf9, 0x25, 0xfa, 0xa2, 0x31, 0xf9, 0x76, 0x1f, 0xfc, + 0xf2, 0x7d, 0xdf, 0x12, 0x59, 0x0c, 0x29, 0xe7, 0x0b, 0x20, 0x0f, 0x13, + 0xb1, 0x4c, 0xc9, 0xe4, 0xa4, 0xc7, 0xcc, 0x06, 0xec, 0x39, 0xb2, 0xcc, + 0xd6, 0x7f, 0xff, 0x11, 0x35, 0x68, 0xfd, 0xd0, 0xf2, 0x73, 0xd5, 0x9e, + 0x39, 0x08, 0x56, 0x39, +}; +#endif + +/* q=(p-1)/2 for prime prime_weak_1024 */ +static const unsigned char sub2_prime_weak_1024[] = { + 0x72, 0x41, 0x04, 0xa5, 0x35, 0xdf, 0x4d, 0xa8, 0x88, 0xd0, 0x3a, 0x12, + 0xff, 0xa8, 0x0e, 0x05, 0x6b, 0x68, 0x5e, 0x69, 0x92, 0x44, 0xba, 0xba, + 0x59, 0xeb, 0x35, 0xfa, 0x63, 0xaf, 0xb5, 0x76, 0x0f, 0x1d, 0x10, 0x01, + 0x0b, 0x3a, 0xe6, 0x22, 0x25, 0x5f, 0xad, 0xac, 0x56, 0xff, 0x58, 0x0c, + 0x35, 0x1c, 0x45, 0xe5, 0xed, 0xe8, 0xbb, 0xa1, 0x71, 0xd1, 0xc3, 0xc5, + 0x4c, 0x97, 0x08, 0xec, 0x64, 0x81, 0x42, 0x0e, 0xe9, 0x33, 0x94, 0x5e, + 0xc7, 0xfd, 0xab, 0x79, 0x31, 0xc5, 0x16, 0x3e, 0x1c, 0x77, 0xd1, 0x06, + 0x35, 0x1b, 0x68, 0x4c, 0x89, 0xa3, 0xa4, 0x20, 0x72, 0xe6, 0xed, 0x82, + 0x26, 0x51, 0x09, 0x1f, 0x8d, 0x4d, 0xcd, 0x07, 0x5c, 0x34, 0x3e, 0x80, + 0xde, 0x0b, 0x37, 0xa8, 0xb2, 0x0e, 0xd5, 0x90, 0xba, 0xa4, 0x89, 0x1b, + 0x56, 0x32, 0xc5, 0xfc, 0x43, 0xec, 0xd7, 0xe8, +}; + +/* q=(p-1)/2 for prime prime_weak_2048 */ +static const unsigned char sub2_prime_weak_2048[] = { + 0x5a, 0x84, 0x41, 0xb5, 0x11, 0x1c, 0xef, 0x81, 0x7f, 0x39, 0xb5, 0xfd, + 0x86, 0xa7, 0x56, 0xa5, 0x87, 0xfe, 0xd9, 0x13, 0xf3, 0xe9, 0x1a, 0xea, + 0x41, 0xf9, 0x5e, 0x14, 0xff, 0xa8, 0x7b, 0xb5, 0xdb, 0xca, 0x1c, 0x7f, + 0xee, 0x3c, 0xb3, 0xcd, 0x40, 0x45, 0xe1, 0x10, 0x27, 0x29, 0x81, 0x15, + 0x03, 0xf6, 0x54, 0xde, 0x91, 0x68, 0xdd, 0x1a, 0x98, 0x88, 0x10, 0xdb, + 0x27, 0xf0, 0xca, 0x05, 0xd8, 0x59, 0x9b, 0x90, 0x06, 0xb5, 0x6a, 0x48, + 0xae, 0x42, 0xf4, 0xd7, 0x45, 0x79, 0x4a, 0x73, 0xa2, 0x7a, 0xe6, 0x02, + 0x41, 0x2b, 0xc0, 0x90, 0xc1, 0x8c, 0x24, 0x16, 0xf1, 0x8e, 0x50, 0xbf, + 0xf7, 0x08, 0x5c, 0xf4, 0x20, 0x7e, 0x6d, 0x21, 0xbe, 0x8c, 0x72, 0x34, + 0x4f, 0xf6, 0xaf, 0x61, 0x8f, 0xc0, 0x77, 0xae, 0x12, 0x2f, 0x34, 0x56, + 0x4c, 0xce, 0x3a, 0x4b, 0x2d, 0xd9, 0xf3, 0xd9, 0x32, 0xbc, 0x7d, 0x9e, + 0x08, 0x80, 0x02, 0x25, 0xcc, 0x07, 0x45, 0x3d, 0x9c, 0x04, 0x1a, 0x5c, + 0xb6, 0x84, 0x32, 0x8b, 0xc8, 0xa4, 0xb1, 0x23, 0xb2, 0x55, 0xe3, 0x68, + 0x79, 0x67, 0xc4, 0x83, 0xf5, 0xd1, 0xae, 0xf9, 0xd1, 0x7d, 0xee, 0xbd, + 0x9f, 0x3f, 0x51, 0x6b, 0x8d, 0x21, 0x56, 0xba, 0x5e, 0xdd, 0xe7, 0x90, + 0xc8, 0xe9, 0x35, 0x8e, 0xce, 0xd4, 0x02, 0xc4, 0x27, 0xd8, 0xa2, 0xd1, + 0x43, 0x48, 0x09, 0x7e, 0xe5, 0x92, 0xf0, 0x89, 0x04, 0x23, 0x8e, 0xc1, + 0x96, 0x8a, 0x21, 0x10, 0x04, 0x18, 0xaa, 0x16, 0x4d, 0xa4, 0xfb, 0x5b, + 0x16, 0x92, 0xf5, 0x14, 0x5f, 0x89, 0x95, 0xe9, 0xa2, 0xc6, 0x81, 0x4f, + 0xd2, 0xd5, 0x75, 0xe0, 0x24, 0x68, 0x83, 0x73, 0x0f, 0x50, 0x1f, 0x02, + 0x10, 0x3c, 0xbe, 0x68, 0xe8, 0x56, 0x30, 0xc4, 0xb6, 0x1d, 0xc4, 0x51, + 0xaa, 0x36, 0x40, 0x2c, +}; + +/* q=(p-1)/2 for prime prime_weak_3072 */ +static const unsigned char sub2_prime_weak_3072[] = { + 0x4a, 0x19, 0x63, 0xa3, 0xa8, 0xd1, 0x81, 0xcd, 0xf9, 0x28, 0xae, 0x34, + 0xd7, 0x82, 0x9e, 0x3b, 0x31, 0x51, 0x76, 0x2d, 0x66, 0x6f, 0xc0, 0x79, + 0x96, 0xe7, 0x52, 0xd2, 0xcf, 0x16, 0xd5, 0xaf, 0xc8, 0xde, 0xc9, 0xb0, + 0xeb, 0xbd, 0xb8, 0xb7, 0xf9, 0xc9, 0x5f, 0xd4, 0x7e, 0x66, 0x80, 0x7a, + 0xa4, 0x84, 0x00, 0x46, 0x69, 0x7f, 0x25, 0x6c, 0x15, 0xb7, 0x21, 0x60, + 0x6c, 0x51, 0x45, 0x95, 0x8c, 0x01, 0x56, 0xf4, 0x27, 0x22, 0x04, 0x93, + 0x50, 0xd0, 0xe5, 0x4c, 0xf1, 0xec, 0xcd, 0x43, 0x9e, 0x41, 0xb5, 0x0d, + 0x3d, 0xb0, 0x5d, 0x3c, 0x06, 0x3c, 0xa8, 0x0f, 0xef, 0x20, 0x0a, 0x2c, + 0x0c, 0x54, 0x95, 0xba, 0x08, 0xda, 0x32, 0xff, 0x4e, 0x81, 0xd2, 0x77, + 0xef, 0xba, 0x47, 0x66, 0xbd, 0xea, 0x79, 0x94, 0x3a, 0xd9, 0x18, 0xf7, + 0xcc, 0xb2, 0xe5, 0xad, 0x3b, 0xe5, 0x51, 0x12, 0x94, 0x57, 0x7d, 0x4f, + 0xf5, 0xed, 0x66, 0x1a, 0x3d, 0x90, 0xeb, 0xed, 0xaa, 0x20, 0x73, 0x17, + 0xed, 0xe0, 0x67, 0x6e, 0x72, 0xe4, 0x93, 0xcb, 0xcc, 0xce, 0x01, 0x27, + 0x92, 0x44, 0x49, 0xef, 0xd4, 0xe3, 0x9f, 0x08, 0x64, 0x55, 0x35, 0x67, + 0x6d, 0x23, 0x4a, 0x46, 0x56, 0x8f, 0x78, 0xe5, 0xe9, 0xe6, 0xa1, 0xa2, + 0x5a, 0x10, 0x48, 0xcf, 0x7b, 0x68, 0x81, 0xf7, 0xe1, 0x02, 0x7b, 0x83, + 0xed, 0xd6, 0x51, 0x14, 0x46, 0x3e, 0x8e, 0xae, 0x96, 0x2d, 0x7e, 0x13, + 0x2d, 0x85, 0xac, 0x5c, 0xcd, 0x23, 0xf4, 0xd0, 0x6f, 0xd2, 0xad, 0x79, + 0xf2, 0xeb, 0x75, 0xb4, 0xda, 0xa7, 0x5e, 0x38, 0xe0, 0x6b, 0x4d, 0xdc, + 0x20, 0x1d, 0xe2, 0xb9, 0x2e, 0xa6, 0x8d, 0x8b, 0x9e, 0x9b, 0x52, 0x58, + 0x8a, 0xd3, 0xcd, 0x39, 0x75, 0xf9, 0x4f, 0x20, 0x68, 0xde, 0x1a, 0xe3, + 0xe8, 0x8d, 0x47, 0x8e, 0x15, 0xaf, 0x6c, 0x59, 0x9d, 0xa2, 0x57, 0x7a, + 0xc0, 0xe8, 0x45, 0x1b, 0xd5, 0xdd, 0x11, 0x5e, 0x16, 0xc4, 0x17, 0x92, + 0x5d, 0xd8, 0x0d, 0x54, 0xaf, 0x83, 0x88, 0x36, 0xe3, 0x5d, 0x9e, 0x51, + 0x33, 0x7c, 0xdc, 0xca, 0xeb, 0x2f, 0x46, 0x67, 0x02, 0x6e, 0x59, 0xa6, + 0x5e, 0x74, 0xe2, 0xe5, 0x8c, 0xcb, 0xf1, 0x50, 0x84, 0x9c, 0x6b, 0xc1, + 0x53, 0x5f, 0xe4, 0x8a, 0x92, 0xf8, 0x96, 0x3b, 0xfe, 0x5e, 0xfd, 0x3f, + 0xc9, 0x7f, 0x6b, 0x18, 0x81, 0x91, 0x96, 0x8b, 0x97, 0xa8, 0xcf, 0x2e, + 0x58, 0xb4, 0x60, 0x1f, 0xa1, 0x4c, 0x80, 0x2a, 0x99, 0xb4, 0x6b, 0xf7, + 0x28, 0xbe, 0x9f, 0x01, 0xa7, 0x81, 0x2f, 0x93, 0xee, 0x8b, 0x8c, 0x36, + 0x0f, 0x4e, 0xc8, 0xb2, 0xfc, 0x6b, 0xd3, 0x4f, 0xd0, 0xdd, 0x54, 0x3b, + 0x72, 0x6c, 0x7a, 0x2c, 0xc8, 0x0b, 0x33, 0xc4, 0x61, 0x54, 0xf2, 0x16, +}; + +/* q=(p-1)/2 for prime prime_weak_4096 */ +static const unsigned char sub2_prime_weak_4096[] = { + 0x7f, 0xa8, 0x69, 0xe6, 0x44, 0x8b, 0xaf, 0x5b, 0x7c, 0x51, 0xd8, 0x71, + 0x7c, 0xcf, 0x8b, 0xd0, 0xc9, 0x2b, 0x0a, 0x89, 0x89, 0x4f, 0x8c, 0x6e, + 0x03, 0x80, 0x61, 0x24, 0xe4, 0xec, 0xea, 0x05, 0x71, 0xeb, 0xfb, 0x30, + 0x10, 0xd4, 0xbd, 0xe0, 0x07, 0x87, 0x57, 0x1f, 0x3b, 0xbb, 0xa4, 0x6c, + 0x7e, 0xa1, 0x76, 0x5a, 0xd7, 0x00, 0x55, 0xe7, 0x68, 0x88, 0xe5, 0x69, + 0x32, 0x2d, 0x51, 0xb5, 0xdd, 0x68, 0xc9, 0xf5, 0x6d, 0x69, 0x50, 0x30, + 0x1c, 0x85, 0x9a, 0x27, 0x86, 0x78, 0xd8, 0x29, 0x3a, 0xa8, 0x9e, 0x94, + 0x01, 0x5a, 0xde, 0xa1, 0x4c, 0x10, 0x53, 0xa1, 0x5c, 0x90, 0xcd, 0x57, + 0x5b, 0x20, 0xbd, 0xb8, 0x71, 0xec, 0xd7, 0xc0, 0x8d, 0x60, 0x9c, 0xce, + 0x29, 0x2b, 0x65, 0x86, 0xb5, 0x33, 0xb7, 0x9e, 0x89, 0x3b, 0x39, 0xa9, + 0xca, 0x96, 0xe0, 0x82, 0x6d, 0xc1, 0xf2, 0x68, 0x5f, 0x16, 0xd3, 0x3d, + 0x07, 0xc0, 0x0d, 0xe8, 0x0b, 0x0a, 0x1d, 0x70, 0x24, 0x7d, 0x7a, 0xa2, + 0x54, 0x70, 0x5f, 0xcc, 0x70, 0xab, 0x75, 0x3b, 0x5b, 0x71, 0x51, 0xad, + 0x8a, 0xbc, 0x88, 0x58, 0x20, 0xee, 0x14, 0x87, 0x8f, 0x1b, 0xb4, 0xe6, + 0x89, 0xdf, 0x16, 0xf0, 0x39, 0x9c, 0x34, 0x76, 0xa8, 0x35, 0x68, 0x7d, + 0xe5, 0x8b, 0x9d, 0x2c, 0xfd, 0xf6, 0x5d, 0x3a, 0xdb, 0x27, 0x17, 0xb7, + 0x4b, 0xcc, 0x07, 0x3c, 0x92, 0xee, 0xec, 0x7a, 0x9a, 0x5a, 0x50, 0x3f, + 0x5d, 0x34, 0x3e, 0x27, 0xfd, 0xf0, 0x4b, 0xa3, 0x28, 0x0f, 0x25, 0x2c, + 0xce, 0x6e, 0x1a, 0x71, 0x15, 0x5a, 0xe4, 0x2c, 0x4a, 0x24, 0x4f, 0xdc, + 0x1b, 0x65, 0xe7, 0x1b, 0x58, 0xbe, 0x72, 0xc6, 0xad, 0xa1, 0xeb, 0xc4, + 0x6f, 0xd7, 0x68, 0x64, 0xa1, 0x2f, 0x85, 0x71, 0xb1, 0x88, 0xe2, 0x86, + 0x40, 0x2a, 0xac, 0x6b, 0xf9, 0x28, 0xb7, 0x59, 0xbf, 0x4e, 0x8e, 0x61, + 0xb0, 0xac, 0xae, 0x23, 0xea, 0x4c, 0xe0, 0x33, 0xfd, 0xd9, 0x6b, 0x08, + 0xed, 0x49, 0x2d, 0xb5, 0xe9, 0x38, 0x5b, 0xb4, 0xb9, 0x73, 0x83, 0x6e, + 0xa0, 0x56, 0x40, 0xa8, 0x8e, 0xa9, 0x3d, 0x22, 0x9c, 0x44, 0x93, 0x96, + 0x62, 0x25, 0xbf, 0x2f, 0x3c, 0xf7, 0xc2, 0x35, 0x12, 0x26, 0xce, 0x4f, + 0x65, 0x3a, 0xae, 0x03, 0x36, 0xe8, 0x29, 0x74, 0xed, 0x4f, 0xa3, 0x5b, + 0x31, 0x0e, 0xd9, 0xec, 0xf9, 0x3e, 0xeb, 0x61, 0x3d, 0x24, 0xbe, 0x6e, + 0xcd, 0xd5, 0x61, 0xc2, 0x05, 0x84, 0x19, 0xdc, 0x40, 0x61, 0x89, 0x47, + 0xd6, 0xd6, 0x07, 0xbf, 0xd7, 0xac, 0xb0, 0x86, 0xcc, 0x60, 0xfc, 0xb4, + 0x61, 0x8d, 0x88, 0x04, 0x62, 0x19, 0x9e, 0x52, 0x71, 0x6a, 0xf5, 0xb8, + 0xae, 0x8c, 0xbf, 0x02, 0xe5, 0x4d, 0x7a, 0xdd, 0xb8, 0xaa, 0xc1, 0xce, + 0x12, 0xa8, 0x1a, 0xbf, 0x96, 0xf5, 0xf9, 0x06, 0xf6, 0x9e, 0x5c, 0x38, + 0xde, 0x84, 0x7a, 0xc4, 0xbf, 0x2f, 0x1c, 0x20, 0x6b, 0xf6, 0xbb, 0xc6, + 0xbd, 0x76, 0x95, 0x4f, 0xfe, 0x00, 0xfa, 0x71, 0x67, 0xed, 0x46, 0x51, + 0xab, 0xee, 0x0a, 0x6b, 0x50, 0xec, 0xcb, 0xdc, 0xf3, 0x7e, 0x24, 0x3a, + 0xa1, 0xde, 0x9d, 0xc8, 0x8b, 0x9e, 0x19, 0xe5, 0x67, 0x14, 0x84, 0x8d, + 0xf4, 0x4e, 0xdb, 0x3a, 0x02, 0xaf, 0x17, 0x52, 0x8e, 0xbf, 0x9d, 0x54, + 0x96, 0x7b, 0x26, 0xa0, 0xc8, 0x5e, 0x2b, 0x0c, 0x29, 0x01, 0x48, 0x77, + 0xb8, 0xff, 0x9f, 0x06, 0x7c, 0x00, 0x02, 0x03, 0xea, 0x90, 0x13, 0x6e, + 0xae, 0x58, 0x9b, 0x81, 0x90, 0x06, 0x5a, 0x5b, 0x1c, 0xa4, 0xa4, 0xd5, + 0x73, 0xcc, 0x00, 0xd1, 0x17, 0x05, 0x19, 0xc1, 0x4f, 0x5c, 0x92, 0x5b, + 0xc0, 0x6f, 0xe9, 0xef, 0x82, 0x72, 0x28, 0x4e, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_weak_6144 */ +static const unsigned char sub2_prime_weak_6144[] = { + 0x51, 0x12, 0x4b, 0x5b, 0x10, 0xb4, 0x6a, 0xbf, 0x16, 0x30, 0x26, 0xe4, + 0x40, 0xac, 0xce, 0x0e, 0x38, 0x76, 0x12, 0x14, 0x5b, 0x29, 0x1b, 0x04, + 0xc3, 0xd5, 0x60, 0xad, 0xf2, 0xd3, 0x1f, 0x44, 0x2a, 0x02, 0xf1, 0x84, + 0x84, 0xe5, 0x36, 0xcd, 0xe2, 0x46, 0x93, 0x57, 0xeb, 0xf7, 0x4f, 0x86, + 0xde, 0xa2, 0x47, 0x7f, 0x66, 0xf9, 0x73, 0x6f, 0x56, 0x79, 0x01, 0x1b, + 0xee, 0x1a, 0xe1, 0x67, 0x66, 0xaf, 0xe2, 0xc3, 0x87, 0xcc, 0xd3, 0xed, + 0x87, 0x8d, 0x66, 0xbb, 0x55, 0x25, 0x52, 0x84, 0xb0, 0x30, 0x71, 0xac, + 0x72, 0x29, 0x03, 0x8d, 0xa1, 0x0b, 0x88, 0xa8, 0x15, 0xa0, 0x4a, 0xc6, + 0xa4, 0x50, 0x1a, 0x4a, 0x92, 0x9c, 0x67, 0x84, 0xca, 0x73, 0x2a, 0x83, + 0x45, 0x6f, 0x6e, 0x20, 0xa5, 0x6c, 0x8f, 0xc0, 0x41, 0x0e, 0xdc, 0x0f, + 0x42, 0x30, 0x6f, 0x76, 0xa7, 0xe0, 0x6c, 0x0e, 0xaa, 0x6d, 0x59, 0xf9, + 0x87, 0x2a, 0x1f, 0x8c, 0x44, 0x7f, 0x92, 0x98, 0xe3, 0x0b, 0x73, 0x38, + 0x7d, 0x62, 0x04, 0x7e, 0x00, 0x45, 0xfb, 0x4e, 0x94, 0xc5, 0x2c, 0xa4, + 0xf6, 0xae, 0x1a, 0x3d, 0x42, 0x3c, 0xa0, 0x60, 0xbf, 0x41, 0x0b, 0x9b, + 0x64, 0x4b, 0x5a, 0xe9, 0x7c, 0xed, 0xe0, 0x08, 0x4f, 0xfc, 0x4a, 0x9a, + 0xb7, 0xd8, 0x5c, 0xa4, 0x44, 0x6e, 0x78, 0x26, 0x98, 0x66, 0x8a, 0xfe, + 0x97, 0xdd, 0x0c, 0x66, 0x4a, 0x28, 0x1f, 0xff, 0x30, 0x1e, 0xbd, 0x23, + 0x77, 0xe2, 0x66, 0x8a, 0x70, 0x77, 0xcb, 0xc0, 0xd0, 0xca, 0xf1, 0xd2, + 0xc8, 0xcd, 0x7b, 0xcf, 0xbe, 0x7d, 0x06, 0x34, 0xdb, 0x6f, 0xed, 0xd7, + 0x98, 0xec, 0x54, 0x3b, 0xb5, 0x5d, 0x5d, 0x40, 0x7f, 0x9f, 0xaf, 0xc3, + 0x4f, 0xc0, 0x01, 0x8f, 0x68, 0x2f, 0x9b, 0xa8, 0x30, 0xfe, 0x01, 0xec, + 0x49, 0xd0, 0xbc, 0xb1, 0x7d, 0x49, 0x5c, 0x25, 0x33, 0x4c, 0xeb, 0xc2, + 0xc6, 0x87, 0x83, 0x81, 0x01, 0xc1, 0xc6, 0x10, 0x52, 0xce, 0x17, 0xfe, + 0x91, 0x2d, 0x78, 0x4a, 0x8f, 0x5f, 0x8b, 0xf8, 0x9d, 0x20, 0x3f, 0xe7, + 0x4a, 0x31, 0x2f, 0xac, 0x72, 0xf9, 0xcc, 0xc6, 0x1c, 0x47, 0x82, 0x88, + 0x34, 0x75, 0x20, 0xda, 0xe0, 0x37, 0xa7, 0xb1, 0xc3, 0x8e, 0xcc, 0x61, + 0x98, 0xb3, 0x0f, 0x4f, 0x96, 0x9e, 0x37, 0x4f, 0xd9, 0xe7, 0xc7, 0x3b, + 0xfa, 0x9e, 0x28, 0xad, 0x77, 0x41, 0x50, 0xe2, 0xa9, 0x90, 0x3a, 0xe8, + 0xd4, 0x01, 0x1b, 0xa1, 0x84, 0x0b, 0x02, 0x80, 0xf6, 0xf5, 0x78, 0xa9, + 0x2c, 0x10, 0x4a, 0x42, 0x82, 0x97, 0x24, 0x1f, 0xa3, 0xa4, 0xa7, 0x80, + 0xa2, 0x5e, 0x8f, 0x21, 0x75, 0x48, 0x48, 0x11, 0xcc, 0x82, 0xfe, 0x9b, + 0xa0, 0x86, 0x17, 0xe2, 0x10, 0x02, 0x4c, 0xf7, 0x07, 0xdd, 0xe1, 0x36, + 0x85, 0x3f, 0x92, 0x2d, 0x0b, 0xd2, 0x75, 0xce, 0x33, 0xff, 0x32, 0x06, + 0xf5, 0x5b, 0x90, 0x24, 0x20, 0x1d, 0x92, 0xf6, 0xa8, 0xae, 0x7e, 0x10, + 0x0c, 0x5b, 0x7e, 0x1f, 0x6d, 0xec, 0xd0, 0xde, 0xcf, 0x77, 0x65, 0xae, + 0x81, 0x7f, 0x3f, 0xa1, 0x4e, 0xe4, 0xe7, 0x7d, 0x70, 0xec, 0x79, 0x02, + 0xb3, 0x9a, 0xc4, 0x27, 0x6b, 0xb8, 0x4b, 0xb1, 0xda, 0x86, 0x30, 0x44, + 0xe0, 0x7f, 0x19, 0x6b, 0xd7, 0x25, 0xf8, 0x85, 0x57, 0x1e, 0x6f, 0x0c, + 0x4e, 0x0e, 0xe9, 0x6d, 0x79, 0x01, 0x46, 0xf8, 0x83, 0xeb, 0x2f, 0x5b, + 0xdd, 0x57, 0xc0, 0xcb, 0xf7, 0x70, 0x4e, 0xa8, 0xf9, 0x8e, 0xe0, 0xae, + 0xa1, 0xf1, 0x05, 0x86, 0x4e, 0x06, 0xba, 0x48, 0x90, 0x37, 0xb2, 0xf8, + 0xf9, 0x42, 0x01, 0x1c, 0x5a, 0xf2, 0x88, 0x10, 0xfe, 0x73, 0x61, 0xa5, + 0xb0, 0x24, 0xb5, 0x78, 0xea, 0xa8, 0x07, 0xb7, 0xc5, 0x8f, 0x40, 0x79, + 0xae, 0x94, 0xf7, 0x30, 0x55, 0x93, 0x52, 0xc6, 0x62, 0x26, 0x65, 0xd3, + 0x55, 0x71, 0xff, 0x68, 0xb3, 0xa4, 0x5a, 0x7d, 0x5f, 0xab, 0xff, 0x31, + 0x42, 0xd0, 0x56, 0x6e, 0x27, 0x38, 0x80, 0xe6, 0x09, 0x76, 0x40, 0x4a, + 0xaa, 0x6e, 0x0a, 0x4f, 0x10, 0x6d, 0x2d, 0x5e, 0xf7, 0x3b, 0x5f, 0x1c, + 0xe7, 0xde, 0xc5, 0x71, 0x87, 0x38, 0xc2, 0xf2, 0x1e, 0x31, 0x1d, 0xfc, + 0x37, 0x38, 0x6a, 0x6b, 0x17, 0x70, 0x2f, 0x08, 0xce, 0x99, 0xec, 0x98, + 0x7f, 0x9d, 0xe6, 0x15, 0x1c, 0xe2, 0x37, 0xfe, 0xe5, 0x44, 0x56, 0x94, + 0x51, 0x74, 0x54, 0x6b, 0xf3, 0x04, 0x06, 0xd7, 0xce, 0xec, 0x64, 0x20, + 0xb3, 0x42, 0x33, 0x43, 0x15, 0xc0, 0x9d, 0xb6, 0x63, 0x3b, 0x13, 0xb5, + 0x06, 0xcb, 0x07, 0x32, 0x9f, 0x6f, 0xfa, 0xb4, 0x02, 0x4e, 0x96, 0x93, + 0x45, 0xe5, 0x05, 0x3c, 0x95, 0x5a, 0x50, 0x59, 0x8c, 0x25, 0x75, 0x35, + 0x69, 0x0a, 0x66, 0xa3, 0xc2, 0xcf, 0xc3, 0x6b, 0xef, 0x55, 0x0f, 0x07, + 0x38, 0x89, 0xf6, 0x7f, 0x3e, 0x34, 0xdf, 0x91, 0x78, 0x30, 0xa8, 0x4b, + 0xbb, 0xe1, 0x15, 0x98, 0xc4, 0x88, 0xeb, 0x04, 0x58, 0xea, 0x67, 0x5d, + 0x50, 0x0b, 0x4e, 0x15, 0xc5, 0x9f, 0x0b, 0xec, 0x75, 0x70, 0xf8, 0x90, + 0x3f, 0x9f, 0x3b, 0x4f, 0x97, 0xa3, 0x61, 0xd7, 0xe2, 0x5d, 0x64, 0xb1, + 0xfb, 0xdd, 0xcc, 0x36, 0xb0, 0x0b, 0x02, 0x0a, 0x61, 0x76, 0x97, 0x61, + 0x80, 0x27, 0xc7, 0xce, 0xe3, 0x6c, 0xe6, 0xe0, 0xd5, 0xa7, 0x33, 0xf6, + 0xfc, 0x69, 0x31, 0x09, 0xfd, 0x08, 0x98, 0xdd, 0x84, 0x6e, 0xa7, 0x44, + 0xa5, 0x7f, 0x83, 0xc4, 0xda, 0xb6, 0x61, 0xff, 0x3b, 0x36, 0x88, 0x26, + 0x0f, 0x08, 0x2a, 0x91, 0x4a, 0xff, 0x04, 0xd2, 0xb7, 0x39, 0x86, 0x15, +}; + +/* q=(p-1)/2 for prime prime_weak_8192 */ +static const unsigned char sub2_prime_weak_8192[] = { + 0x49, 0xef, 0xb6, 0x9b, 0xee, 0x15, 0x52, 0x55, 0xae, 0xee, 0x39, 0xa1, + 0x09, 0x0c, 0x47, 0x9c, 0xa3, 0xb9, 0xfa, 0x9f, 0x5e, 0x37, 0x06, 0x95, + 0x34, 0x2e, 0xa9, 0xa7, 0x91, 0x46, 0x54, 0x54, 0x25, 0x56, 0x35, 0x30, + 0x2a, 0x65, 0x0d, 0x3a, 0xed, 0x42, 0x81, 0x2f, 0x40, 0x5d, 0xcd, 0xad, + 0x3a, 0x4b, 0x34, 0xe1, 0x3e, 0x42, 0x0f, 0xbb, 0x06, 0xa9, 0xf2, 0x05, + 0x99, 0x79, 0xa5, 0xfb, 0x49, 0x2d, 0x96, 0x4c, 0x2e, 0xd4, 0xb0, 0x6e, + 0x0b, 0xad, 0xfd, 0xda, 0x87, 0x1c, 0x57, 0x31, 0x8b, 0x3c, 0xd2, 0x62, + 0xbb, 0x3a, 0x10, 0x4b, 0xad, 0xee, 0x54, 0xc4, 0x68, 0x8a, 0x23, 0x1f, + 0x0e, 0xf3, 0x65, 0x5a, 0x9c, 0x2b, 0xfe, 0xf5, 0xb3, 0x15, 0x7d, 0x46, + 0x18, 0x03, 0xf5, 0x5a, 0x5e, 0x3c, 0x99, 0x8a, 0x6f, 0xc7, 0x8e, 0xb0, + 0x23, 0xe3, 0x91, 0xec, 0xbf, 0xf1, 0x8e, 0x4a, 0x54, 0xdd, 0x96, 0x8d, + 0x9b, 0xb2, 0x10, 0x67, 0xb4, 0x29, 0x1c, 0xec, 0xb7, 0x91, 0xa8, 0x59, + 0x33, 0xe4, 0x23, 0xd5, 0x1c, 0xcb, 0x69, 0x7e, 0xcd, 0xce, 0x43, 0x38, + 0xec, 0x3e, 0x33, 0xda, 0xbd, 0x4e, 0xa7, 0xfc, 0x47, 0x9a, 0x32, 0x65, + 0xed, 0xc2, 0x88, 0xcb, 0xc3, 0x7b, 0xd0, 0x8c, 0x95, 0x08, 0x3d, 0x79, + 0x0a, 0x8d, 0x86, 0x37, 0x32, 0x78, 0x8c, 0x29, 0xfc, 0xcd, 0x6e, 0xbe, + 0x06, 0xbe, 0x1e, 0x9c, 0xce, 0x51, 0xe2, 0xfc, 0x34, 0x37, 0xda, 0x1a, + 0xfc, 0x0e, 0xdc, 0x64, 0x55, 0xf5, 0x2c, 0x79, 0xdd, 0xbc, 0x79, 0xf1, + 0x53, 0x0b, 0x59, 0xa5, 0x05, 0x2b, 0x2d, 0xa2, 0x56, 0x65, 0xb3, 0x2e, + 0xd1, 0xb1, 0x38, 0xc8, 0x82, 0xea, 0x4b, 0xb9, 0x19, 0xbb, 0xa1, 0x98, + 0x9a, 0xce, 0x21, 0xdc, 0x6a, 0xc2, 0xed, 0xc7, 0x14, 0x65, 0x94, 0xcc, + 0x5b, 0xff, 0x35, 0x7b, 0x04, 0x44, 0xc1, 0x7e, 0x73, 0x2e, 0xb1, 0x34, + 0x2a, 0xd6, 0x1d, 0xce, 0xc1, 0x66, 0x83, 0x08, 0x29, 0xc9, 0x8e, 0xb3, + 0x35, 0x67, 0x31, 0x96, 0x24, 0x9b, 0x79, 0x86, 0x8e, 0x1f, 0x92, 0x68, + 0x3f, 0xd9, 0x50, 0x67, 0xbb, 0x15, 0x0b, 0x51, 0x37, 0xb5, 0xfa, 0x7f, + 0x5a, 0xe5, 0x4c, 0xa2, 0x3e, 0x7e, 0x1d, 0xe0, 0xf2, 0x04, 0xfa, 0xbd, + 0xb6, 0xb6, 0x50, 0x8a, 0x88, 0x00, 0x26, 0x3a, 0xa6, 0x95, 0x40, 0x4a, + 0xc8, 0x4d, 0x0a, 0xaf, 0x3b, 0x94, 0x47, 0x41, 0xa0, 0x42, 0x8f, 0x96, + 0xb8, 0x0b, 0xd0, 0x58, 0x3e, 0xf2, 0xfd, 0x40, 0xa8, 0xdf, 0x5a, 0x0b, + 0x7b, 0x2a, 0x4f, 0x87, 0x51, 0xf1, 0x0f, 0x2f, 0x4d, 0x8e, 0x6d, 0x07, + 0x4f, 0xc9, 0xae, 0x7a, 0x21, 0xde, 0xce, 0x0f, 0x0b, 0x33, 0xda, 0xa1, + 0x4a, 0x38, 0x7c, 0x3c, 0x86, 0x16, 0xa4, 0x60, 0x92, 0x62, 0xe3, 0x54, + 0xb2, 0x06, 0x22, 0x76, 0x4c, 0xd7, 0x5a, 0xf3, 0xe0, 0x92, 0x45, 0x36, + 0x68, 0xd1, 0x5f, 0xa6, 0x35, 0x85, 0xf4, 0xf8, 0x4c, 0x1e, 0xe3, 0xce, + 0x70, 0xc6, 0x8d, 0x6f, 0x62, 0x22, 0x21, 0xe3, 0x5f, 0x9c, 0x31, 0x12, + 0xc8, 0xa1, 0x42, 0x00, 0x94, 0x65, 0xc0, 0x5e, 0x1c, 0xa6, 0x61, 0x9f, + 0xfb, 0x6f, 0xf0, 0xf3, 0x64, 0xbb, 0x9a, 0xab, 0x97, 0xc4, 0xce, 0xfd, + 0x57, 0x9b, 0xeb, 0x19, 0xb8, 0x9a, 0x7f, 0xa9, 0x14, 0x59, 0x9e, 0x4b, + 0x34, 0x08, 0x09, 0x64, 0xdf, 0x0c, 0x01, 0xe6, 0xf7, 0x93, 0x85, 0x68, + 0xe4, 0x87, 0x24, 0x80, 0x91, 0x39, 0xed, 0xaf, 0x88, 0xba, 0xb6, 0xf5, + 0x0b, 0x6d, 0x13, 0x3f, 0x9f, 0x3e, 0x65, 0xb1, 0x67, 0xe6, 0x46, 0xeb, + 0x75, 0x67, 0x13, 0x22, 0x52, 0x3a, 0x2a, 0x27, 0x15, 0x8a, 0xdd, 0x4e, + 0xd0, 0x9c, 0xf4, 0x7e, 0xf0, 0x14, 0xf8, 0x6b, 0xd5, 0x18, 0x35, 0xeb, + 0x8a, 0x1e, 0x50, 0x02, 0x5e, 0x76, 0xc1, 0x65, 0xe4, 0xed, 0xa7, 0x90, + 0x02, 0xb7, 0x22, 0xbc, 0xee, 0xad, 0x9e, 0xaf, 0x77, 0x78, 0xe1, 0xd5, + 0x59, 0xe9, 0x9d, 0x23, 0xd6, 0x71, 0x89, 0x50, 0xea, 0xfa, 0x12, 0x72, + 0xb6, 0x72, 0x4f, 0xda, 0x65, 0x4b, 0x24, 0xa8, 0x9b, 0x1d, 0xd2, 0x51, + 0x6b, 0x17, 0x21, 0x11, 0x99, 0x46, 0x64, 0x41, 0xf5, 0x0a, 0x68, 0x84, + 0x04, 0xc7, 0xed, 0xa6, 0x61, 0x00, 0x22, 0x03, 0x40, 0xea, 0x08, 0xae, + 0x95, 0x8f, 0x1b, 0xc0, 0x55, 0x5c, 0xc4, 0x7d, 0x55, 0xe9, 0x3b, 0x17, + 0x01, 0xdc, 0x1d, 0x85, 0xfe, 0x00, 0xcb, 0x71, 0xb1, 0x00, 0x38, 0x89, + 0xf4, 0x7d, 0xbc, 0x67, 0x1c, 0x83, 0x50, 0xa2, 0x6e, 0xb0, 0xb5, 0x2b, + 0x59, 0x66, 0xe5, 0xf6, 0x33, 0x92, 0x14, 0x3e, 0x9c, 0xc0, 0x1b, 0xe5, + 0xca, 0xa4, 0xcb, 0x74, 0x9f, 0xdb, 0xc4, 0xf5, 0x88, 0xbe, 0x1a, 0x24, + 0x9b, 0x16, 0x76, 0x41, 0x5b, 0x1e, 0x54, 0xcd, 0x69, 0xdc, 0x55, 0xdc, + 0x94, 0x17, 0xcb, 0xb8, 0x82, 0x54, 0x43, 0x15, 0xa1, 0xdb, 0x13, 0xa8, + 0xc5, 0x70, 0x51, 0xcc, 0x73, 0x99, 0x99, 0x7f, 0x0c, 0x5c, 0x9c, 0x4a, + 0xbc, 0x0b, 0xdf, 0x21, 0xd0, 0x04, 0x45, 0x82, 0xc6, 0xab, 0x6b, 0xa7, + 0x30, 0x80, 0x80, 0x02, 0x89, 0x36, 0x89, 0xca, 0xf5, 0x67, 0x6e, 0x5f, + 0xe2, 0x3a, 0x10, 0x44, 0x94, 0x02, 0xe9, 0x4b, 0xe1, 0x9a, 0x92, 0x36, + 0xa1, 0xee, 0xf1, 0x4f, 0x8a, 0xc0, 0x77, 0x6e, 0xe6, 0xc5, 0x44, 0x62, + 0xc9, 0x6d, 0x0e, 0xec, 0xe8, 0x5c, 0x7e, 0x8c, 0x66, 0x2c, 0x0d, 0xe5, + 0x1d, 0xe6, 0x4f, 0x66, 0xa9, 0xb0, 0xb4, 0x7a, 0xdd, 0x96, 0x81, 0x2a, + 0x95, 0xc9, 0xcf, 0x8c, 0x0b, 0x90, 0x58, 0xaa, 0x70, 0x7f, 0x1f, 0x35, + 0x08, 0x3f, 0xf7, 0x30, 0x3e, 0x65, 0x8a, 0x41, 0x34, 0x76, 0x84, 0x03, + 0xf3, 0x9a, 0x56, 0x93, 0xb7, 0xed, 0x2b, 0xf1, 0x53, 0xa5, 0xbf, 0x3d, + 0x17, 0x4a, 0xc4, 0x2c, 0x1e, 0xf3, 0xee, 0x51, 0xf9, 0x74, 0xfa, 0xca, + 0xfe, 0x8e, 0x2f, 0xcf, 0x2e, 0x06, 0x74, 0x1b, 0x6a, 0x84, 0x9a, 0xb3, + 0x13, 0xdc, 0x89, 0xc5, 0x07, 0x7d, 0x75, 0xd3, 0x2d, 0xeb, 0x03, 0xa6, + 0xe7, 0x86, 0xc8, 0x38, 0xd0, 0xf2, 0xac, 0x0f, 0x13, 0xb4, 0xb2, 0x0c, + 0x11, 0x03, 0xc5, 0x15, 0x74, 0x84, 0x00, 0x01, 0x45, 0x2c, 0x1c, 0x40, + 0x82, 0xec, 0x73, 0xae, 0x9e, 0xf4, 0x15, 0x8b, 0xfd, 0x14, 0xae, 0x75, + 0xc9, 0x86, 0x07, 0x94, 0xb4, 0x10, 0xc9, 0xb1, 0x79, 0x70, 0xa2, 0x1c, + 0x34, 0x90, 0xab, 0xc3, 0x38, 0xb5, 0x9e, 0x89, 0x27, 0x14, 0x6d, 0x85, + 0xea, 0x16, 0x62, 0xf4, 0x2f, 0xcd, 0xe9, 0x13, 0x04, 0x22, 0xd2, 0x59, + 0x58, 0xaf, 0x68, 0x8c, 0x1f, 0x31, 0x46, 0xbb, 0xd0, 0x31, 0x03, 0xba, + 0x86, 0x34, 0x3f, 0xd5, 0xe9, 0x16, 0x76, 0x47, 0x54, 0xb7, 0x1b, 0x9e, + 0xed, 0x99, 0xbd, 0x25, 0x5d, 0x43, 0x12, 0xa8, 0x35, 0x1b, 0x8d, 0xcd, + 0xc8, 0x8d, 0x2f, 0xc9, 0x90, 0xf5, 0x48, 0xee, 0x32, 0x5b, 0x03, 0xa2, + 0x1a, 0x3c, 0xb5, 0x35, 0x21, 0x27, 0x79, 0xf1, 0x51, 0x35, 0xff, 0xe6, + 0xeb, 0xe2, 0xb4, 0xdc, 0xc0, 0xbe, 0x9a, 0x5a, 0x2d, 0xdb, 0x41, 0xe1, + 0xb5, 0xcd, 0x70, 0x97, 0x2f, 0x1a, 0x00, 0x90, 0xf5, 0x9b, 0xe6, 0x62, + 0xaf, 0xbf, 0xd0, 0x6f, 0x07, 0xbc, 0xdb, 0xe1, 0x9d, 0xc2, 0x3e, 0xf4, + 0x4b, 0x7e, 0x99, 0x23, 0xbc, 0x1f, 0x11, 0x64, 0x4c, 0x67, 0x3d, 0x77, + 0x8e, 0xd3, 0x04, 0x9d, 0x7f, 0xfb, 0xb4, 0x6c, 0xdc, 0x74, 0xbf, 0x45, + 0x76, 0x11, 0x80, 0xcb, +}; +#endif + +/* Public keys in known small subgroups - fails in all modes */ +static const unsigned char pub_key_zero[] = {0}; +static const unsigned char pub_key_one[] = {1}; + +static const unsigned char pub_key_minus_1_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x32}; + +static const unsigned char pub_key_minus_1_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2c}; + +static const unsigned char pub_key_minus_1_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +static const unsigned char pub_key_minus_1_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x72}; + +/* Public keys in small subgroups of weak primes - fails in all modes*/ +static const unsigned char pub_key_bad_weak_1024[] = {3}; +static const unsigned char pub_key_bad_weak_2048[] = {3}; +static const unsigned char pub_key_bad_weak_3072[] = {3}; +static const unsigned char pub_key_bad_weak_4096[] = {3}; +static const unsigned char pub_key_bad_weak_6144[] = {3}; +static const unsigned char pub_key_bad_weak_8192[] = {3}; + +enum DhParamType { + TLS_APPROVED, + IKE_APPROVED, + SAFE_PRIME, + SAFE_PRIME_WITH_SUBPRIME, + KNOWN_SUBPRIME, + WRONG_SUBPRIME, + UNKNOWN_SUBPRIME, + BAD_PUB_KEY +}; + +enum DhKeyClass { + CLASS_1536 = 0, + CLASS_2048, + CLASS_3072, + CLASS_4096, + CLASS_6144, + CLASS_8192, + CLASS_LAST +}; +const DhKeyClass CLASS_FIRST = CLASS_1536; + +const unsigned char *reference_prime[CLASS_LAST] = { + prime_ike_1536, prime_tls_2048, prime_tls_3072, + prime_ike_4096, prime_ike_6144, prime_tls_8192}; + +const size_t reference_prime_len[CLASS_LAST] = { + sizeof(prime_ike_1536), sizeof(prime_tls_2048), sizeof(prime_tls_3072), + sizeof(prime_ike_4096), sizeof(prime_ike_6144), sizeof(prime_tls_8192)}; + +struct DhTestVector { + const char *id; + SECItem p; + SECItem g; + SECItem q; + SECItem pub_key; + DhParamType param_type; + DhKeyClass key_class; +}; + +static const unsigned char g2[] = {2}; +static const unsigned char g3[] = {3}; + +static const DhTestVector DH_TEST_VECTORS[] = { + /* test our approved primes, the pass in all modes and configurations */ + {"IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 3048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* approved primes with explicit subprimes.These should pass without + * the need to verify the primes and subprimes for primality */ + {"IKE 1536 with subprime", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_1536, + sizeof(sub2_prime_ike_1536)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048 with subprime", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_2048, + sizeof(sub2_prime_ike_2048)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 2048 with subprime", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_2048, + sizeof(sub2_prime_tls_2048)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072 with subprime", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_3072, + sizeof(sub2_prime_ike_3072)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072 with subprime", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_3072, + sizeof(sub2_prime_tls_3072)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096 with subprime", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_4096, + sizeof(sub2_prime_ike_4096)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096 with subprime", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_4096, + sizeof(sub2_prime_tls_4096)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144 with subprime", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_6144, + sizeof(sub2_prime_ike_6144)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144 with subprime", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192 with subprime", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_8192, + sizeof(sub2_prime_ike_8192)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192 with subprime", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_8192, + sizeof(sub2_prime_tls_8192)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. They should pass without checks */ + {"Safe Prime 1536", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_1536}, + {"Safe Prime 2048", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_2048}, + {"Safe Prime 3072", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_3072}, + {"Safe Prime 4096", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_4096}, + {"Safe Prime 6144", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_6144}, + {"Safe Prime 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. In non-FIPS, they need checks */ + {"Safe Prime 1536 with Subprime", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_1536, + sizeof(sub2_prime_safe_1536)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_1536}, + {"Safe Prime 2048 with Subprime", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_2048}, + {"Safe Prime 3072 with Subprime", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_3072, + sizeof(sub2_prime_safe_3072)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_3072}, + {"Safe Prime 4096 with Subprime", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_4096, + sizeof(sub2_prime_safe_4096)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Safe Prime 6144 with Subprime", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_6144, + sizeof(sub2_prime_safe_6144)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_6144}, + {"Safe Prime 8192 with Subprime", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_8192, + sizeof(sub2_prime_safe_8192)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes with "unknown" subprimes. We use + * the same primes as the known subprimes, but we don't + * include the subprime in the test. These primes should + * pass in non-FIPS mode and fail in FIPS mode */ + {"Weak Prime 1024 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_4096}, + {"Weak Prime 6144 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_8192}, + /* test "weak" primes with known subprimes. These primes should + * pass in non-FIPS and fail in FIPS. In non-FIPS they should have full + * checks. */ + {"Weak Prime 1024 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 6144 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes as if they were safe primes. These primes should + * faill in all modes. */ + {"Weak Prime 1024 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)sub2_prime_weak_1024, + sizeof(sub2_prime_weak_1024)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)sub2_prime_weak_2048, + sizeof(sub2_prime_weak_2048)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)sub2_prime_weak_3072, + sizeof(sub2_prime_weak_3072)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)sub2_prime_weak_4096, + sizeof(sub2_prime_weak_4096)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 6144 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)sub2_prime_weak_6144, + sizeof(sub2_prime_weak_6144)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)sub2_prime_weak_8192, + sizeof(sub2_prime_weak_8192)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_8192}, +#endif + /******** Now test various invalid public keys */ + /* first known small subgroups of safe primes. These test should + * fail in all modes with all primes */ + {"Pubkey = 0 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_zero, sizeof(pub_key_zero)}, + BAD_PUB_KEY, + CLASS_1536}, + {"PubKey = 1 TLS 2048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_one, sizeof(pub_key_one)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey == -1 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_ike_1536, + sizeof(pub_key_minus_1_ike_1536)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey = -1 SAFE 2048 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_2048, + sizeof(pub_key_minus_1_safe_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey = -1 WEAK 3072 KNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_3072, + sizeof(pub_key_minus_1_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, + {"Pubkey = -1 WEAK 4096 UNKNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_4096, + sizeof(pub_key_minus_1_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, + {"Pubkey = -1 TLS 6144 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, (unsigned char *)pub_key_minus_1_tls_6144, + sizeof(pub_key_minus_1_tls_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey = -1 SAFE 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_8192, + sizeof(pub_key_minus_1_safe_8192)}, + BAD_PUB_KEY, + CLASS_8192}, + /* y is a known small subgroups of weak primes (which known subprimes). + * These test should fail in all modes with all primes */ + {"Pubkey small subgroup Weak 1024 prime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_1024, + sizeof(pub_key_bad_weak_1024)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey small subgroup Weak 2048 prime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_2048, + sizeof(pub_key_bad_weak_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey small subgroup Weak 3072 prime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_3072, + sizeof(pub_key_bad_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, + {"Pubkey small subgroup Weak 4096 prime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_4096, + sizeof(pub_key_bad_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Pubkey small subgroup Weak 6144 prime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_6144, + sizeof(pub_key_bad_weak_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey small subgroup Weak 8192 prime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_8192, + sizeof(pub_key_bad_weak_8192)}, + BAD_PUB_KEY, + CLASS_8192} +#endif +}; +}; diff --git a/gtests/softoken_gtest/softoken_gtest.cc b/gtests/softoken_gtest/softoken_gtest.cc --- a/gtests/softoken_gtest/softoken_gtest.cc +++ b/gtests/softoken_gtest/softoken_gtest.cc @@ -6,20 +6,24 @@ #include "secmod.h" #include "secerr.h" #include "nss_scoped_ptrs.h" #include "util.h" #define GTEST_HAS_RTTI 0 #include "gtest/gtest.h" +#include "databuffer.h" #include <fstream> +#include <chrono> +using namespace std::chrono; + +#include "softoken_dh_vectors.h" namespace nss_test { - class SoftokenTest : public ::testing::Test { protected: SoftokenTest() : mNSSDBDir("SoftokenTest.d-") {} SoftokenTest(const std::string &prefix) : mNSSDBDir(prefix) {} virtual void SetUp() { std::string nssInitArg("sql:"); nssInitArg.append(mNSSDBDir.GetUTF8Path()); @@ -522,35 +526,259 @@ TEST_F(SoftokenNoDBTest, NeedUserInitNoD ASSERT_TRUE(slot); EXPECT_EQ(PR_FALSE, PK11_NeedUserInit(slot.get())); // When shutting down in here we have to release the slot first. slot = nullptr; ASSERT_EQ(SECSuccess, NSS_Shutdown()); } +SECStatus test_dh_value(const PQGParams *params, const SECItem *pub_key_value, + PRBool genFailOK, time_t *time) { + SECKEYDHParams dh_params; + dh_params.base = params->base; + dh_params.prime = params->prime; + + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + EXPECT_TRUE(slot); + if (!slot) return SECFailure; + + /* create a private/public key pair in with the given params */ + SECKEYPublicKey *pub_tmp = nullptr; + ScopedSECKEYPrivateKey priv_key( + PK11_GenerateKeyPair(slot.get(), CKM_DH_PKCS_KEY_PAIR_GEN, &dh_params, + &pub_tmp, PR_FALSE, PR_TRUE, nullptr)); + if ((genFailOK) && ((priv_key.get() == nullptr) || (pub_tmp == nullptr))) { + return SECFailure; + } + EXPECT_NE(nullptr, priv_key.get()) << "PK11_GenerateKeyPair failed: " + << PORT_ErrorToName(PORT_GetError()); + EXPECT_NE(nullptr, pub_tmp); + if ((priv_key.get() == nullptr) || (pub_tmp == nullptr)) return SECFailure; + ScopedSECKEYPublicKey pub_key(pub_tmp); + ScopedSECKEYPublicKey peer_pub_key_manager(nullptr); + SECKEYPublicKey *peer_pub_key = pub_key.get(); + + /* if a subprime has been given set it on the PKCS #11 key */ + if (params->subPrime.data != nullptr) { + SECStatus rv; + EXPECT_EQ(SECSuccess, rv = PK11_WriteRawAttribute( + PK11_TypePrivKey, priv_key.get(), CKA_SUBPRIME, + (SECItem *)¶ms->subPrime)) + << "PK11_WriteRawAttribute failed: " + << PORT_ErrorToString(PORT_GetError()); + if (rv != SECSuccess) { + return rv; + } + } + + /* find if we weren't passed a public value in, use the + * one we just generated */ + if (pub_key_value && pub_key_value->data) { + peer_pub_key = SECKEY_CopyPublicKey(pub_key.get()); + EXPECT_NE(nullptr, peer_pub_key); + if (peer_pub_key == nullptr) { + return SECFailure; + } + peer_pub_key->u.dh.publicValue = *pub_key_value; + peer_pub_key_manager.reset(peer_pub_key); + } + + /* now do the derive. time it and return the time if + * the caller requested it. */ + auto start = high_resolution_clock::now(); + ScopedPK11SymKey derivedKey(PK11_PubDerive( + priv_key.get(), peer_pub_key, PR_FALSE, nullptr, nullptr, + CKM_DH_PKCS_DERIVE, CKM_HKDF_DERIVE, CKA_DERIVE, 32, nullptr)); + auto stop = high_resolution_clock::now(); + if (!derivedKey) { + std::cerr << "PK11_PubDerive failed: " + << PORT_ErrorToString(PORT_GetError()) << std::endl; + } + + if (time) { + auto duration = duration_cast<microseconds>(stop - start); + *time = duration.count(); + } + return derivedKey ? SECSuccess : SECFailure; +} + +class SoftokenDhTest : public SoftokenTest { + protected: + SoftokenDhTest() : SoftokenTest("SoftokenDhTest.d-") {} + time_t reference_time[CLASS_LAST] = {0}; + + virtual void SetUp() { + SoftokenTest::SetUp(); + + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + ASSERT_TRUE(slot); + + time_t time; + for (int i = CLASS_FIRST; i < CLASS_LAST; i++) { + PQGParams params; + params.prime.data = (unsigned char *)reference_prime[i]; + params.prime.len = reference_prime_len[i]; + params.base.data = (unsigned char *)g2; + params.base.len = sizeof(g2); + params.subPrime.data = nullptr; + params.subPrime.len = 0; + ASSERT_EQ(SECSuccess, test_dh_value(¶ms, nullptr, PR_FALSE, &time)); + reference_time[i] = time / 2 + 3 * time; + } + }; +}; + +const char *param_value(DhParamType param_type) { + switch (param_type) { + case TLS_APPROVED: + return "TLS_APPROVED"; + case IKE_APPROVED: + return "IKE_APPROVED"; + case SAFE_PRIME: + return "SAFE_PRIME"; + case SAFE_PRIME_WITH_SUBPRIME: + return "SAFE_PRIME_WITH_SUBPRIME"; + case KNOWN_SUBPRIME: + return "KNOWN_SUBPRIME"; + case UNKNOWN_SUBPRIME: + return "UNKNOWN_SUBPRIME"; + case WRONG_SUBPRIME: + return "WRONG_SUBPRIME"; + case BAD_PUB_KEY: + return "BAD_PUB_KEY"; + } + return "**Invalid**"; +} + +const char *key_value(DhKeyClass key_class) { + switch (key_class) { + case CLASS_1536: + return "CLASS_1536"; + case CLASS_2048: + return "CLASS_2048"; + case CLASS_3072: + return "CLASS_3072"; + case CLASS_4096: + return "CLASS_4096"; + case CLASS_6144: + return "CLASS_6144"; + case CLASS_8192: + return "CLASS_8192"; + case CLASS_LAST: + break; + } + return "**Invalid**"; +} + +class SoftokenDhValidate : public SoftokenDhTest, + public ::testing::WithParamInterface<DhTestVector> { +}; + +/* test the DH validation process. In non-fips mode, only BAD_PUB_KEY tests + * should fail */ +TEST_P(SoftokenDhValidate, DhVectors) { + const DhTestVector dhTestValues = GetParam(); + std::string testId = (char *)(dhTestValues.id); + std::string err = "Test(" + testId + ") failed"; + SECStatus rv; + time_t time; + + PQGParams params; + params.prime = dhTestValues.p; + params.base = dhTestValues.g; + params.subPrime = dhTestValues.q; + + std::cerr << "Test: " + testId << std::endl + << "param_type: " << param_value(dhTestValues.param_type) + << ", key_class: " << key_value(dhTestValues.key_class) << std::endl + << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len) + << std::endl + << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len) + << std::endl + << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len) + << std::endl + << "pub_key: " + << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len) + << std::endl; + rv = test_dh_value(¶ms, &dhTestValues.pub_key, PR_FALSE, &time); + + switch (dhTestValues.param_type) { + case TLS_APPROVED: + case IKE_APPROVED: + case SAFE_PRIME: + case UNKNOWN_SUBPRIME: + EXPECT_EQ(SECSuccess, rv) << err; + EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err; + break; + case KNOWN_SUBPRIME: + case SAFE_PRIME_WITH_SUBPRIME: + EXPECT_EQ(SECSuccess, rv) << err; + EXPECT_GT(time, reference_time[dhTestValues.key_class]) << err; + break; + case WRONG_SUBPRIME: + case BAD_PUB_KEY: + EXPECT_EQ(SECFailure, rv) << err; + break; + } +} + +INSTANTIATE_TEST_CASE_P(DhValidateCases, SoftokenDhValidate, + ::testing::ValuesIn(DH_TEST_VECTORS)); + #ifndef NSS_FIPS_DISABLED class SoftokenFipsTest : public SoftokenTest { protected: SoftokenFipsTest() : SoftokenTest("SoftokenFipsTest.d-") {} + SoftokenFipsTest(const std::string &prefix) : SoftokenTest(prefix) {} virtual void SetUp() { SoftokenTest::SetUp(); // Turn on FIPS mode (code borrowed from FipsMode in modutil/pk11.c) char *internal_name; ASSERT_FALSE(PK11_IsFIPS()); internal_name = PR_smprintf("%s", SECMOD_GetInternalModule()->commonName); - ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name)); + ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name)) + << PORT_ErrorToName(PORT_GetError()); PR_smprintf_free(internal_name); ASSERT_TRUE(PK11_IsFIPS()); } }; +class SoftokenFipsDhTest : public SoftokenFipsTest { + protected: + SoftokenFipsDhTest() : SoftokenFipsTest("SoftokenFipsDhTest.d-") {} + time_t reference_time[CLASS_LAST] = {0}; + + virtual void SetUp() { + SoftokenFipsTest::SetUp(); + + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + ASSERT_TRUE(slot); + + ASSERT_EQ(SECSuccess, PK11_InitPin(slot.get(), nullptr, "")); + ASSERT_EQ(SECSuccess, PK11_Authenticate(slot.get(), PR_FALSE, nullptr)); + + time_t time; + for (int i = CLASS_FIRST; i < CLASS_LAST; i++) { + PQGParams params; + params.prime.data = (unsigned char *)reference_prime[i]; + params.prime.len = reference_prime_len[i]; + params.base.data = (unsigned char *)g2; + params.base.len = sizeof(g2); + params.subPrime.data = nullptr; + params.subPrime.len = 0; + ASSERT_EQ(SECSuccess, test_dh_value(¶ms, nullptr, PR_FALSE, &time)); + reference_time[i] = time / 2 + 3 * time; + } + }; +}; + const std::vector<std::string> kFipsPasswordCases[] = { // FIPS level1 -> level1 -> level1 {"", "", ""}, // FIPS level1 -> level1 -> level2 {"", "", "strong-_123"}, // FIXME: this should work: FIPS level1 -> level2 -> level2 // {"", "strong-_123", "strong-_456"}, // FIPS level2 -> level2 -> level2 @@ -608,22 +836,78 @@ TEST_P(SoftokenFipsBadPasswordTest, SetB rv = PK11_ChangePW(slot.get(), (*prev_it).c_str(), (*it).c_str()); if (it + 1 == passwords.end()) EXPECT_EQ(SECFailure, rv); else EXPECT_EQ(SECSuccess, rv); } } +class SoftokenFipsDhValidate + : public SoftokenFipsDhTest, + public ::testing::WithParamInterface<DhTestVector> {}; + +/* test the DH validation process. In fips mode, primes with unknown + * subprimes, and all sorts of bad public keys should fail */ +TEST_P(SoftokenFipsDhValidate, DhVectors) { + const DhTestVector dhTestValues = GetParam(); + std::string testId = (char *)(dhTestValues.id); + std::string err = "Test(" + testId + ") failed"; + time_t time; + PRBool genFailOK = PR_FALSE; + SECStatus rv; + + PQGParams params; + params.prime = dhTestValues.p; + params.base = dhTestValues.g; + params.subPrime = dhTestValues.q; + std::cerr << "Test:" + testId << std::endl + << "param_type: " << param_value(dhTestValues.param_type) + << ", key_class: " << key_value(dhTestValues.key_class) << std::endl + << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len) + << std::endl + << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len) + << std::endl + << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len) + << std::endl + << "pub_key: " + << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len) + << std::endl; + + if ((dhTestValues.param_type != TLS_APPROVED) && + (dhTestValues.param_type != IKE_APPROVED)) { + genFailOK = PR_TRUE; + } + rv = test_dh_value(¶ms, &dhTestValues.pub_key, genFailOK, &time); + + switch (dhTestValues.param_type) { + case TLS_APPROVED: + case IKE_APPROVED: + EXPECT_EQ(SECSuccess, rv) << err; + EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err; + break; + case SAFE_PRIME: + case SAFE_PRIME_WITH_SUBPRIME: + case KNOWN_SUBPRIME: + case UNKNOWN_SUBPRIME: + case WRONG_SUBPRIME: + case BAD_PUB_KEY: + EXPECT_EQ(SECFailure, rv) << err; + break; + } +} + INSTANTIATE_TEST_CASE_P(FipsPasswordCases, SoftokenFipsPasswordTest, ::testing::ValuesIn(kFipsPasswordCases)); INSTANTIATE_TEST_CASE_P(BadFipsPasswordCases, SoftokenFipsBadPasswordTest, ::testing::ValuesIn(kFipsPasswordBadCases)); +INSTANTIATE_TEST_CASE_P(FipsDhCases, SoftokenFipsDhValidate, + ::testing::ValuesIn(DH_TEST_VECTORS)); #endif } // namespace nss_test int main(int argc, char **argv) { ::testing::InitGoogleTest(&argc, argv); return RUN_ALL_TESTS(); diff --git a/gtests/softoken_gtest/softoken_gtest.gyp b/gtests/softoken_gtest/softoken_gtest.gyp --- a/gtests/softoken_gtest/softoken_gtest.gyp +++ b/gtests/softoken_gtest/softoken_gtest.gyp @@ -11,16 +11,17 @@ 'target_name': 'softoken_gtest', 'type': 'executable', 'sources': [ 'softoken_gtest.cc', 'softoken_nssckbi_testlib_gtest.cc', ], 'dependencies': [ '<(DEPTH)/exports.gyp:nss_exports', + '<(DEPTH)/cpputil/cpputil.gyp:cpputil', '<(DEPTH)/lib/util/util.gyp:nssutil3', '<(DEPTH)/gtests/google_test/google_test.gyp:gtest', ], 'conditions': [ [ 'static_libs==1', { 'dependencies': [ '<(DEPTH)/lib/nss/nss.gyp:nss_static', '<(DEPTH)/lib/pk11wrap/pk11wrap.gyp:pk11wrap_static', diff --git a/lib/freebl/blapi.h b/lib/freebl/blapi.h --- a/lib/freebl/blapi.h +++ b/lib/freebl/blapi.h @@ -375,16 +375,19 @@ extern SECStatus KEA_Derive(SECItem *pri SECItem *derivedSecret); /* * verify that a KEA or DSA public key is a valid key for this prime and * subprime domain. */ extern PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime); +/* verify a value is prime */ +PRBool KEA_PrimeCheck(SECItem *prime); + /**************************************** * J-PAKE key transport */ /* Given gx == g^x, create a Schnorr zero-knowledge proof for the value x * using the specified hash algorithm and signer ID. The signature is * returned in the values gv and r. testRandom must be NULL for a PRNG * generated random committment to be used in the sigature. When testRandom diff --git a/lib/freebl/dh.c b/lib/freebl/dh.c --- a/lib/freebl/dh.c +++ b/lib/freebl/dh.c @@ -12,16 +12,17 @@ #include "prerr.h" #include "secerr.h" #include "blapi.h" #include "blapii.h" #include "secitem.h" #include "mpi.h" +#include "mpprime.h" #include "secmpi.h" #define KEA_DERIVED_SECRET_LEN 128 /* Lengths are in bytes. */ static unsigned int dh_GetSecretKeyLen(unsigned int primeLen) { @@ -73,17 +74,17 @@ DH_GenParam(int primeLen, DHParams **par MP_DIGITS(&psub1) = 0; MP_DIGITS(&test) = 0; CHECK_MPI_OK(mp_init(&p)); CHECK_MPI_OK(mp_init(&q)); CHECK_MPI_OK(mp_init(&a)); CHECK_MPI_OK(mp_init(&h)); CHECK_MPI_OK(mp_init(&psub1)); CHECK_MPI_OK(mp_init(&test)); - /* generate prime with MPI, uses Miller-Rabin to generate strong prime. */ + /* generate prime with MPI, uses Miller-Rabin to generate safe prime. */ CHECK_SEC_OK(generate_prime(&p, primeLen)); /* construct Sophie-Germain prime q = (p-1)/2. */ CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1)); CHECK_MPI_OK(mp_div_2(&psub1, &q)); /* construct a generator from the prime. */ ab = PORT_Alloc(primeLen); if (!ab) { PORT_SetError(SEC_ERROR_NO_MEMORY); @@ -256,28 +257,27 @@ DH_Derive(SECItem *publicValue, /* number of bytes in the derived secret */ len = mp_unsigned_octet_size(&ZZ); if (len <= 0) { err = MP_BADARG; goto cleanup; } /* - * We check to make sure that ZZ is not equal to 1 or -1 mod p. + * We check to make sure that ZZ is not equal to 0, 1 or -1 mod p. * This helps guard against small subgroup attacks, since an attacker - * using a subgroup of size N will produce 1 or -1 with probability 1/N. + * using a subgroup of size N will produce 0, 1 or -1 with probability 1/N. * When the protocol is executed within a properly large subgroup, the * probability of this result will be negligibly small. For example, - * with a strong prime of the form 2p+1, the probability will be 1/p. + * with a safe prime of the form 2q+1, the probability will be 1/q. * * We return MP_BADARG because this is probably the result of a bad * public value or a bad prime having been provided. */ - if (mp_cmp_d(&ZZ, 1) == 0 || - mp_cmp(&ZZ, &psub1) == 0) { + if (mp_cmp_d(&ZZ, 2) < 0 || mp_cmp(&ZZ, &psub1) >= 0) { err = MP_BADARG; goto cleanup; } /* allocate a buffer which can hold the entire derived secret. */ secret = PORT_Alloc(len); if (secret == NULL) { err = MP_MEM; @@ -412,44 +412,85 @@ cleanup: MP_TO_SEC_ERROR(err); if (derivedSecret->data) PORT_ZFree(derivedSecret->data, derivedSecret->len); return SECFailure; } return SECSuccess; } +/* Test counts based on the fact the prime and subprime + * were given to us */ +static int +dh_prime_testcount(int prime_length) +{ + if (prime_length < 1024) { + return 50; + } else if (prime_length < 2048) { + return 40; + } else if (prime_length < 3072) { + return 56; + } + return 64; +} + +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + mp_int p; + mp_err err = 0; + MP_DIGITS(&p) = 0; + CHECK_MPI_OK(mp_init(&p)); + SECITEM_TO_MPINT(*prime, &p); + CHECK_MPI_OK(mpp_pprime(&p, dh_prime_testcount(prime->len))); +cleanup: + mp_clear(&p); + return err ? PR_FALSE : PR_TRUE; +} + PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) { - mp_int p, q, y, r; + mp_int p, q, y, r, psub1; mp_err err; int cmp = 1; /* default is false */ if (!Y || !prime || !subPrime) { PORT_SetError(SEC_ERROR_INVALID_ARGS); return SECFailure; } MP_DIGITS(&p) = 0; MP_DIGITS(&q) = 0; MP_DIGITS(&y) = 0; MP_DIGITS(&r) = 0; + MP_DIGITS(&psub1) = 0; CHECK_MPI_OK(mp_init(&p)); CHECK_MPI_OK(mp_init(&q)); CHECK_MPI_OK(mp_init(&y)); CHECK_MPI_OK(mp_init(&r)); + CHECK_MPI_OK(mp_init(&psub1)); SECITEM_TO_MPINT(*prime, &p); SECITEM_TO_MPINT(*subPrime, &q); SECITEM_TO_MPINT(*Y, &y); + + CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1)); + + if (mp_cmp_d(&y, 1) <= 0 || + mp_cmp(&y, &psub1) >= 0) { + err = MP_BADARG; + goto cleanup; + } + /* compute r = y**q mod p */ CHECK_MPI_OK(mp_exptmod(&y, &q, &p, &r)); /* compare to 1 */ cmp = mp_cmp_d(&r, 1); cleanup: mp_clear(&p); mp_clear(&q); mp_clear(&y); mp_clear(&r); + mp_clear(&psub1); if (err) { MP_TO_SEC_ERROR(err); return PR_FALSE; } return (cmp == 0) ? PR_TRUE : PR_FALSE; } diff --git a/lib/freebl/ec.c b/lib/freebl/ec.c --- a/lib/freebl/ec.c +++ b/lib/freebl/ec.c @@ -596,16 +596,17 @@ ECDH_Derive(SECItem *publicValue, (mp_size)privateValue->len)); if (withCofactor && (ecParams->cofactor != 1)) { /* multiply k with the cofactor */ MP_DIGITS(&cofactor) = 0; CHECK_MPI_OK(mp_init(&cofactor)); mp_set(&cofactor, ecParams->cofactor); CHECK_MPI_OK(mp_mul(&k, &cofactor, &k)); + mp_clear(&cofactor); } /* Multiply our private key and peer's public point */ if (ec_points_mul(ecParams, NULL, &k, publicValue, &pointQ) != SECSuccess) { goto cleanup; } if (ec_point_at_infinity(&pointQ)) { PORT_SetError(SEC_ERROR_BAD_KEY); /* XXX better error code? */ diff --git a/lib/freebl/ldvector.c b/lib/freebl/ldvector.c --- a/lib/freebl/ldvector.c +++ b/lib/freebl/ldvector.c @@ -348,19 +348,22 @@ static const struct FREEBLVectorStr vect CMAC_Finish, CMAC_Destroy, /* End of version 3.022 */ ChaCha20Poly1305_Encrypt, ChaCha20Poly1305_Decrypt, AES_AEAD, AESKeyWrap_EncryptKWP, - AESKeyWrap_DecryptKWP + AESKeyWrap_DecryptKWP, /* End of version 3.023 */ + KEA_PrimeCheck + + /* End of version 3.024 */ }; const FREEBLVector* FREEBL_GetVector(void) { #ifdef FREEBL_NO_DEPEND SECStatus rv; #endif diff --git a/lib/freebl/loader.c b/lib/freebl/loader.c --- a/lib/freebl/loader.c +++ b/lib/freebl/loader.c @@ -231,16 +231,24 @@ KEA_Derive(SECItem *prime, SECItem *publ PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return PR_FALSE; return (vector->p_KEA_Verify)(Y, prime, subPrime); } +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) + return PR_FALSE; + return (vector->p_KEA_PrimeCheck)(prime); +} + RC4Context * RC4_CreateContext(const unsigned char *key, int len) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; return (vector->p_RC4_CreateContext)(key, len); } diff --git a/lib/freebl/loader.h b/lib/freebl/loader.h --- a/lib/freebl/loader.h +++ b/lib/freebl/loader.h @@ -5,17 +5,17 @@ * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifndef _LOADER_H_ #define _LOADER_H_ 1 #include "blapi.h" -#define FREEBL_VERSION 0x0323 +#define FREEBL_VERSION 0x0324 struct FREEBLVectorStr { unsigned short length; /* of this struct in bytes */ unsigned short version; /* of this struct. */ RSAPrivateKey *(*p_RSA_NewKey)(int keySizeInBits, SECItem *publicExponent); @@ -807,16 +807,19 @@ struct FREEBLVectorStr { unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen); /* Version 3.023 came to here */ + PRBool (*p_KEA_PrimeCheck)(SECItem *prime); + /* Version 3.024 came to here */ + /* Add new function pointers at the end of this struct and bump * FREEBL_VERSION at the beginning of this file. */ }; typedef struct FREEBLVectorStr FREEBLVector; #ifdef FREEBL_LOWHASH #include "nsslowhash.h" diff --git a/lib/softoken/manifest.mn b/lib/softoken/manifest.mn --- a/lib/softoken/manifest.mn +++ b/lib/softoken/manifest.mn @@ -40,16 +40,17 @@ CSRCS = \ lowkey.c \ lowpbe.c \ padbuf.c \ pkcs11.c \ pkcs11c.c \ pkcs11u.c \ sdb.c \ sftkdb.c \ + sftkdhverify.c \ sftkhmac.c \ sftkike.c \ sftkmessage.c \ sftkpars.c \ sftkpwd.c \ softkver.c \ tlsprf.c \ jpakesftk.c \ diff --git a/lib/softoken/pkcs11.c b/lib/softoken/pkcs11.c --- a/lib/softoken/pkcs11.c +++ b/lib/softoken/pkcs11.c @@ -1191,16 +1191,21 @@ sftk_handlePrivateKeyObject(SFTKSession return CKR_TEMPLATE_INCOMPLETE; } if (!sftk_hasAttribute(object, CKA_BASE)) { return CKR_TEMPLATE_INCOMPLETE; } if (!sftk_hasAttribute(object, CKA_VALUE)) { return CKR_TEMPLATE_INCOMPLETE; } + /* allow subprime to be set after the fact */ + crv = sftk_defaultAttribute(object, CKA_SUBPRIME, NULL, 0); + if (crv != CKR_OK) { + return crv; + } encrypt = CK_FALSE; recover = CK_FALSE; wrap = CK_FALSE; break; case CKK_EC: if (!sftk_hasAttribute(object, CKA_EC_PARAMS)) { return CKR_TEMPLATE_INCOMPLETE; } diff --git a/lib/softoken/pkcs11c.c b/lib/softoken/pkcs11c.c --- a/lib/softoken/pkcs11c.c +++ b/lib/softoken/pkcs11c.c @@ -4857,31 +4857,37 @@ pairwise_signverify_mech (CK_SESSION_HAN * * This function returns * CKR_OK if pairwise consistency check passed * CKR_GENERAL_ERROR if pairwise consistency check failed * other error codes if paiswise consistency check could not be * performed, for example, CKR_HOST_MEMORY. */ static CK_RV -sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, +sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, SFTKSlot *slot, SFTKObject *publicKey, SFTKObject *privateKey, CK_KEY_TYPE keyType) { /* * Key type Mechanism type * -------------------------------- * For encrypt/decrypt: CKK_RSA => CKM_RSA_PKCS * others => CKM_INVALID_MECHANISM * * For sign/verify: CKK_RSA => CKM_RSA_PKCS * CKK_DSA => CKM_DSA * CKK_EC => CKM_ECDSA * others => CKM_INVALID_MECHANISM * * None of these mechanisms has a parameter. + * + * For derive CKK_DH => CKM_DH_PKCS_DERIVE + * CKK_EC => CKM_ECDH1_DERIVE + * others => CKM_INVALID_MECHANISM + * + * The parameters for these mechanisms is the public key. */ CK_MECHANISM mech = { 0, NULL, 0 }; CK_ULONG modulusLen = 0; CK_ULONG subPrimeLen = 0; PRBool isEncryptable = PR_FALSE; PRBool canSignVerify = PR_FALSE; PRBool isDerivable = PR_FALSE; @@ -5085,34 +5091,116 @@ sftk_PairwiseConsistencyCheck(CK_SESSION /**********************************************/ /* Pairwise Consistency Check for Derivation */ /**********************************************/ isDerivable = sftk_isTrue(privateKey, CKA_DERIVE); if (isDerivable) { - /* - * We are not doing consistency check for Diffie-Hellman Key - - * otherwise it would be here - * This is also true for Elliptic Curve Diffie-Hellman keys - * NOTE: EC keys are currently subjected to pairwise - * consistency check for signing/verification. - */ - /* - * FIPS 140-2 had the following pairwise consistency test for - * public and private keys used for key agreement: - * If the keys are used to perform key agreement, then the - * cryptographic module shall create a second, compatible - * key pair. The cryptographic module shall perform both - * sides of the key agreement algorithm and shall compare - * the resulting shared values. If the shared values are - * not equal, the test shall fail. - * This test was removed in Change Notice 3. - */ + SFTKAttribute *pubAttribute = NULL; + CK_OBJECT_HANDLE newKey; + PRBool isFIPS = (slot->slotID == FIPS_SLOT_ID); + CK_RV crv2; + CK_OBJECT_CLASS secret = CKO_SECRET_KEY; + CK_KEY_TYPE generic = CKK_GENERIC_SECRET; + CK_ULONG keyLen = 128; + CK_BBOOL ckTrue = CK_TRUE; + CK_ATTRIBUTE template[] = { + { CKA_CLASS, &secret, sizeof(secret) }, + { CKA_KEY_TYPE, &generic, sizeof(generic) }, + { CKA_VALUE_LEN, &keyLen, sizeof(keyLen) }, + { CKA_DERIVE, &ckTrue, sizeof(ckTrue) } + }; + CK_ULONG templateCount = PR_ARRAY_SIZE(template); + CK_ECDH1_DERIVE_PARAMS ecParams; + + crv = CKR_OK; /*paranoia, already get's set before we drop to the end */ + /* FIPS 140-2 requires we verify that the resulting key is a valid key. + * The easiest way to do this is to do a derive operation, which checks + * the validity of the key */ + + switch (keyType) { + case CKK_DH: + mech.mechanism = CKM_DH_PKCS_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_VALUE); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + mech.pParameter = pubAttribute->attrib.pValue; + mech.ulParameterLen = pubAttribute->attrib.ulValueLen; + break; + case CKK_EC: + mech.mechanism = CKM_ECDH1_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_EC_POINT); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + ecParams.kdf = CKD_NULL; + ecParams.ulSharedDataLen = 0; + ecParams.pSharedData = NULL; + ecParams.ulPublicDataLen = pubAttribute->attrib.ulValueLen; + ecParams.pPublicData = pubAttribute->attrib.pValue; + mech.pParameter = &ecParams; + mech.ulParameterLen = sizeof(ecParams); + break; + default: + return CKR_DEVICE_ERROR; + } + + crv = NSC_DeriveKey(hSession, &mech, privateKey->handle, template, templateCount, &newKey); + if (crv != CKR_OK) { + sftk_FreeAttribute(pubAttribute); + return crv; + } + /* FIPS requires full validation, but in fipx mode NSC_Derive + * only does partial validation with approved primes, now handle + * full validation */ + if (isFIPS && keyType == CKK_DH) { + SECItem pubKey; + SECItem prime; + SECItem subPrime; + const SECItem *subPrimePtr = &subPrime; + + pubKey.data = pubAttribute->attrib.pValue; + pubKey.len = pubAttribute->attrib.ulValueLen; + prime.data = subPrime.data = NULL; + prime.len = subPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + if (crv != CKR_OK) { + goto done; + } + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + /* we ignore the return code an only look at the length */ + if (subPrime.len == 0) { + /* subprime not supplied, In this case look it up. + * This only works with approved primes, but in FIPS mode + * that's the only kine of prime that will get here */ + subPrimePtr = sftk_VerifyDH_Prime(&prime); + if (subPrimePtr == NULL) { + crv = CKR_GENERAL_ERROR; + goto done; + } + } + if (!KEA_Verify(&pubKey, &prime, (SECItem *)subPrimePtr)) { + crv = CKR_GENERAL_ERROR; + } + done: + PORT_Free(subPrime.data); + PORT_Free(prime.data); + } + /* clean up before we return */ + sftk_FreeAttribute(pubAttribute); + crv2 = NSC_DestroyObject(hSession, newKey); + if (crv != CKR_OK) { + return crv; + } + if (crv2 != CKR_OK) { + return crv2; + } } return CKR_OK; } /* NSC_GenerateKeyPair generates a public-key/private-key pair, * creating new key objects. */ CK_RV @@ -5646,17 +5734,17 @@ NSC_GenerateKeyPair(CK_SESSION_HANDLE hS } if (crv == CKR_OK && !sftk_isTrue(publicKey, CKA_EXTRACTABLE)) { crv = sftk_forceAttribute(publicKey, CKA_NEVER_EXTRACTABLE, &cktrue, sizeof(CK_BBOOL)); } if (crv == CKR_OK) { /* Perform FIPS 140-2 pairwise consistency check. */ - crv = sftk_PairwiseConsistencyCheck(hSession, + crv = sftk_PairwiseConsistencyCheck(hSession, slot, publicKey, privateKey, key_type); if (crv != CKR_OK) { if (sftk_audit_enabled) { char msg[128]; PR_snprintf(msg, sizeof msg, "C_GenerateKeyPair(hSession=0x%08lX, " "pMechanism->mechanism=0x%08lX)=0x%08lX " "self-test: pair-wise consistency test failed", @@ -8250,50 +8338,115 @@ NSC_DeriveKey(CK_SESSION_HANDLE hSession SHA512_HashBuf(key_block, (const unsigned char *)att->attrib.pValue, att->attrib.ulValueLen); crv = sftk_forceAttribute(key, CKA_VALUE, key_block, keySize); break; case CKM_DH_PKCS_DERIVE: { SECItem derived, dhPublic; - SECItem dhPrime, dhSubPrime, dhValue; + SECItem dhPrime, dhValue; + const SECItem *subPrime; /* sourceKey - values for the local existing low key */ /* get prime and value attributes */ crv = sftk_Attribute2SecItem(NULL, &dhPrime, sourceKey, CKA_PRIME); if (crv != CKR_OK) break; + + dhPublic.data = pMechanism->pParameter; + dhPublic.len = pMechanism->ulParameterLen; + + /* if the prime is an approved prime, we can skip all the other + * checks. */ + subPrime = sftk_VerifyDH_Prime(&dhPrime); + if (subPrime == NULL) { + SECItem dhSubPrime; + /* If the caller set the subprime value, it means that + * either the caller knows the subprime value and wants us + * to validate the key against the subprime, or that the + * caller wants us to verify that the prime is a safe prime + * by passing in subprime = (prime-1)/2 */ + dhSubPrime.data = NULL; + dhSubPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, + sourceKey, CKA_SUBPRIME); + /* we ignore the value of crv here, We treat a valid + * return of len = 0 and a failure to find a subrime the same + * NOTE: we free the subprime in both cases depending on + * PORT_Free of NULL to be a noop */ + + /* The !isFIPS was suggested by FIPS review; with this change + * we will deny any primes that are not approved primes in + * FIPS mode. This probably breaks TLS for the most part. */ + if (!isFIPS && dhSubPrime.len != 0) { + PRBool isSafe = PR_FALSE; + + /* Callers can set dhSubPrime to q=(p-1)/2 to force + * checks for safe primes. If so we only need to check + * q and p for primality and skip the group test. */ + rv = sftk_IsSafePrime(&dhPrime, &dhSubPrime, &isSafe); + if (rv != SECSuccess) { + /* either p or q was even and therefore not prime, + * we can stop processing here and fail now */ + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + + /* first make sure the primes are really prime */ + if (!KEA_PrimeCheck(&dhPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (!KEA_PrimeCheck(&dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (isFIPS || !isSafe) { + /* With safe primes, there is only one other small + * subgroup. As long as y isn't 0, 1, or -1 mod p, + * any other y is safe. Only do the full check for + * non-safe primes, except in FIPS mode we need + * to do this check on all primes in which + * we receive the subprime value */ + if (!KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + } + } else if (isFIPS) { + /* In FIPS mode we only accept approved primes, or + * primes with the full subprime value */ + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + break; + } + /* checks are complete, no need for the subPrime any longer */ + PORT_Free(dhSubPrime.data); + } + + /* now that the prime is validated, get the private value */ crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE); if (crv != CKR_OK) { PORT_Free(dhPrime.data); break; } - dhPublic.data = pMechanism->pParameter; - dhPublic.len = pMechanism->ulParameterLen; - - /* If the caller bothered to provide Q, use Q to validate - * the public key. */ - crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, sourceKey, CKA_SUBPRIME); - if (crv == CKR_OK) { - rv = KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime); - PORT_Free(dhSubPrime.data); - if (rv == PR_FALSE) { - crv = CKR_ARGUMENTS_BAD; - PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); - break; - } - } - /* calculate private value - oct */ rv = DH_Derive(&dhPublic, &dhPrime, &dhValue, &derived, keySize); PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); + PORT_ZFree(dhValue.data, dhValue.len); if (rv == SECSuccess) { sftk_forceAttribute(key, CKA_VALUE, derived.data, derived.len); PORT_ZFree(derived.data, derived.len); crv = CKR_OK; } else crv = CKR_HOST_MEMORY; diff --git a/lib/softoken/pkcs11i.h b/lib/softoken/pkcs11i.h --- a/lib/softoken/pkcs11i.h +++ b/lib/softoken/pkcs11i.h @@ -909,11 +909,18 @@ void sftk_MAC_Destroy(sftk_MACCtx *ctx, unsigned int sftk_CKRVToMask(CK_RV rv); CK_RV sftk_CheckCBCPadding(CK_BYTE_PTR pBuf, unsigned int bufLen, unsigned int blockSize, unsigned int *outPadSize); /* NIST 800-108 (kbkdf.c) implementations */ extern CK_RV kbkdf_Dispatch(CK_MECHANISM_TYPE mech, CK_SESSION_HANDLE hSession, CK_MECHANISM_PTR pMechanism, SFTKObject *base_key, SFTKObject *ret_key, CK_ULONG keySize); char **NSC_ModuleDBFunc(unsigned long function, char *parameters, void *args); +/* dh verify functions */ +/* verify that dhPrime matches one of our known primes, and if so return + * it's subprime value */ +const SECItem *sftk_VerifyDH_Prime(SECItem *dhPrime); +/* check if dhSubPrime claims dhPrime is a safe prime. */ +SECStatus sftk_IsSafePrime(SECItem *dhPrime, SECItem *dhSubPrime, PRBool *isSafe); + SEC_END_PROTOS #endif /* _PKCS11I_H_ */ diff --git a/lib/softoken/pkcs11u.c b/lib/softoken/pkcs11u.c --- a/lib/softoken/pkcs11u.c +++ b/lib/softoken/pkcs11u.c @@ -711,17 +711,16 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, case CKA_CLASS: case CKA_CERTIFICATE_TYPE: case CKA_KEY_TYPE: case CKA_MODULUS: case CKA_MODULUS_BITS: case CKA_PUBLIC_EXPONENT: case CKA_PRIVATE_EXPONENT: case CKA_PRIME: - case CKA_SUBPRIME: case CKA_BASE: case CKA_PRIME_1: case CKA_PRIME_2: case CKA_EXPONENT_1: case CKA_EXPONENT_2: case CKA_COEFFICIENT: case CKA_VALUE_LEN: case CKA_ALWAYS_SENSITIVE: @@ -762,16 +761,21 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, mtype = SFTK_ALWAYS; break; /* DEPENDS ON CLASS */ case CKA_VALUE: mtype = (inClass == CKO_DATA) ? SFTK_ALWAYS : SFTK_NEVER; break; + case CKA_SUBPRIME: + /* allow the CKA_SUBPRIME to be added to dh private keys */ + mtype = (inClass == CKO_PRIVATE_KEY) ? SFTK_ALWAYS : SFTK_NEVER; + break; + case CKA_SUBJECT: mtype = (inClass == CKO_CERTIFICATE) ? SFTK_NEVER : SFTK_ALWAYS; break; default: break; } return mtype; } diff --git a/lib/softoken/sftkdhverify.c b/lib/softoken/sftkdhverify.c new file mode 100644 --- /dev/null +++ b/lib/softoken/sftkdhverify.c @@ -0,0 +1,1232 @@ + +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ +/* + * This file makes sure a prime given to us matches one of the known + * approved primes for diffie-helman. + * + * It also checks if a prime is a safe prime for the case + * where we don't match an approved prime. + */ +#include "seccomon.h" +#include "secitem.h" +#include "secerr.h" +#include "blapi.h" + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char subprime_ike_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char subprime_tls_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char subprime_ike_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char subprime_tls_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char subprime_ike_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char subprime_tls_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char subprime_ike_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char subprime_tls_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char subprime_ike_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char subprime_tls_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +static const SECItem subprime_ike_2048 = + { siBuffer, + (unsigned char *)subprime_ike_2048_data, + sizeof(subprime_ike_2048_data) }; +static const SECItem subprime_ike_3072 = + { siBuffer, + (unsigned char *)subprime_ike_3072_data, + sizeof(subprime_ike_3072_data) }; +static const SECItem subprime_ike_4096 = + { siBuffer, + (unsigned char *)subprime_ike_4096_data, + sizeof(subprime_ike_4096_data) }; +static const SECItem subprime_ike_6144 = + { siBuffer, + (unsigned char *)subprime_ike_6144_data, + sizeof(subprime_ike_6144_data) }; +static const SECItem subprime_ike_8192 = + { siBuffer, + (unsigned char *)subprime_ike_8192_data, + sizeof(subprime_ike_8192_data) }; +static const SECItem subprime_tls_2048 = + { siBuffer, + (unsigned char *)subprime_tls_2048_data, + sizeof(subprime_tls_2048_data) }; +static const SECItem subprime_tls_3072 = + { siBuffer, + (unsigned char *)subprime_tls_3072_data, + sizeof(subprime_tls_3072_data) }; +static const SECItem subprime_tls_4096 = + { siBuffer, + (unsigned char *)subprime_tls_4096_data, + sizeof(subprime_tls_4096_data) }; +static const SECItem subprime_tls_6144 = + { siBuffer, + (unsigned char *)subprime_tls_6144_data, + sizeof(subprime_tls_6144_data) }; +static const SECItem subprime_tls_8192 = + { siBuffer, + (unsigned char *)subprime_tls_8192_data, + sizeof(subprime_tls_8192_data) }; + +/* + * verify that dhPrime matches one of our known primes + */ +const SECItem * +sftk_VerifyDH_Prime(SECItem *dhPrime) +{ + /* use the length to decide which primes to check */ + switch (dhPrime->len) { + case 2048 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_2048, + sizeof(prime_tls_2048)) == 0) { + return &subprime_tls_2048; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_2048, + sizeof(prime_ike_2048)) == 0) { + return &subprime_ike_2048; + } + break; + case 3072 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_3072, + sizeof(prime_tls_3072)) == 0) { + return &subprime_tls_3072; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_3072, + sizeof(prime_ike_3072)) == 0) { + return &subprime_ike_3072; + } + break; + case 4096 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_4096, + sizeof(prime_tls_4096)) == 0) { + return &subprime_tls_4096; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_4096, + sizeof(prime_ike_4096)) == 0) { + return &subprime_ike_4096; + } + break; + case 6144 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_6144, + sizeof(prime_tls_6144)) == 0) { + return &subprime_tls_6144; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_6144, + sizeof(prime_ike_6144)) == 0) { + return &subprime_ike_6144; + } + break; + case 8192 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_8192, + sizeof(prime_tls_8192)) == 0) { + return &subprime_tls_8192; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_8192, + sizeof(prime_ike_8192)) == 0) { + return &subprime_ike_8192; + } + break; + } + /* no match found, return an error */ + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return NULL; +} + +/* Use the provided subPrime to see if dhPrime is a safe prime. We'll check + * primality of those values later. */ +SECStatus +sftk_IsSafePrime(const SECItem *dhPrime, const SECItem *dhSubPrime, PRBool *isSafe) +{ + int i; + unsigned char carry = 0; + int offset = 0, subPrimeLen = dhPrime->len; + *isSafe = PR_FALSE; + + /* Both dhPrime and dhSubPrime should be odd */ + if (((dhPrime->data[dhPrime->len - 1] & 0x1) != 1) && ((dhSubPrime->data[dhSubPrime->len - 1] & 0x1) != 1)) { + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return SECFailure; + } + + /* subPrime is p-1/2, which means subPrime is 1 bit shorter than p. + * It's length in bytes is the same unless the high byte of p == 1 or 0. + */ + if (dhPrime->data[0] <= 1) { + subPrimeLen--; + offset++; + carry = (dhPrime->data[0]) << 7; + } + + /* if subprime len is not long enough it is not a strong prime */ + if (dhSubPrime->len != subPrimeLen) { + return SECSuccess; + } + + /* does the subprime match q == (p-1)/2 */ + for (i = 0; i < subPrimeLen; i++) { + if (dhSubPrime->data[i] != + (carry | ((dhPrime->data[i + offset] >> 1) & 0x7f))) { + return SECSuccess; + } + carry = ((dhPrime->data[i + offset] & 1) << 7) & 0x80; + } + /* subPrime for p claims to be q=(p-1)/2. So the caller thinks p + * is a strong prime, just need to check primality of p and q to verify */ + *isSafe = PR_TRUE; + return SECSuccess; +} diff --git a/lib/softoken/softoken.gyp b/lib/softoken/softoken.gyp --- a/lib/softoken/softoken.gyp +++ b/lib/softoken/softoken.gyp @@ -51,16 +51,17 @@ 'kbkdf.c', 'lowkey.c', 'lowpbe.c', 'padbuf.c', 'pkcs11.c', 'pkcs11c.c', 'pkcs11u.c', 'sdb.c', + 'sftkdhverify.c', 'sftkdb.c', 'sftkhmac.c', 'sftkike.c', 'sftkmessage.c', 'sftkpars.c', 'sftkpwd.c', 'softkver.c', 'tlsprf.c'
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