File openssl-DH.patch of Package openssl-1_1.26614
Index: openssl-1.1.1m/crypto/bn/bn_const.c
===================================================================
--- openssl-1.1.1m.orig/crypto/bn/bn_const.c
+++ openssl-1.1.1m/crypto/bn/bn_const.c
@@ -8,6 +8,10 @@
*/
#include <openssl/bn.h>
+#include "crypto/bn_dh.h"
+
+#define COPY_BN(dst, src) (dst != NULL) ? BN_copy(dst, &src) : BN_dup(&src)
+
/*-
* "First Oakley Default Group" from RFC2409, section 6.1.
@@ -80,33 +84,7 @@ BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM
BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_1536, sizeof(RFC3526_PRIME_1536), bn);
+ return COPY_BN(bn, _bignum_modp_1536_p);
}
/*-
@@ -119,41 +97,7 @@ BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM
BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_2048, sizeof(RFC3526_PRIME_2048), bn);
+ return COPY_BN(bn, _bignum_modp_2048_p);
}
/*-
@@ -166,57 +110,7 @@ BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM
BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_3072, sizeof(RFC3526_PRIME_3072), bn);
+ return COPY_BN(bn, _bignum_modp_3072_p);
}
/*-
@@ -229,73 +123,7 @@ BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM
BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_4096, sizeof(RFC3526_PRIME_4096), bn);
+ return COPY_BN(bn, _bignum_modp_4096_p);
}
/*-
@@ -308,105 +136,7 @@ BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM
BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_6144, sizeof(RFC3526_PRIME_6144), bn);
+ return COPY_BN(bn, _bignum_modp_6144_p);
}
/*-
@@ -419,135 +149,5 @@ BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM
BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn)
{
- static const unsigned char RFC3526_PRIME_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,
- };
- return BN_bin2bn(RFC3526_PRIME_8192, sizeof(RFC3526_PRIME_8192), bn);
+ return COPY_BN(bn, _bignum_modp_8192_p);
}
Index: openssl-1.1.1m/crypto/bn/bn_dh.c
===================================================================
--- openssl-1.1.1m.orig/crypto/bn/bn_dh.c
+++ openssl-1.1.1m/crypto/bn/bn_dh.c
@@ -11,474 +11,995 @@
#include "internal/nelem.h"
#ifndef OPENSSL_NO_DH
-#include <openssl/dh.h>
-#include "crypto/bn_dh.h"
-/* DH parameters from RFC5114 */
+# include <openssl/dh.h>
+# include "crypto/bn_dh.h"
# if BN_BITS2 == 64
-static const BN_ULONG dh1024_160_p[] = {
- 0xDF1FB2BC2E4A4371ULL, 0xE68CFDA76D4DA708ULL, 0x45BF37DF365C1A65ULL,
- 0xA151AF5F0DC8B4BDULL, 0xFAA31A4FF55BCCC0ULL, 0x4EFFD6FAE5644738ULL,
- 0x98488E9C219A7372ULL, 0xACCBDD7D90C4BD70ULL, 0x24975C3CD49B83BFULL,
- 0x13ECB4AEA9061123ULL, 0x9838EF1E2EE652C0ULL, 0x6073E28675A23D18ULL,
- 0x9A6A9DCA52D23B61ULL, 0x52C99FBCFB06A3C6ULL, 0xDE92DE5EAE5D54ECULL,
- 0xB10B8F96A080E01DULL
-};
-
-static const BN_ULONG dh1024_160_g[] = {
- 0x855E6EEB22B3B2E5ULL, 0x858F4DCEF97C2A24ULL, 0x2D779D5918D08BC8ULL,
- 0xD662A4D18E73AFA3ULL, 0x1DBF0A0169B6A28AULL, 0xA6A24C087A091F53ULL,
- 0x909D0D2263F80A76ULL, 0xD7FBD7D3B9A92EE1ULL, 0x5E91547F9E2749F4ULL,
- 0x160217B4B01B886AULL, 0x777E690F5504F213ULL, 0x266FEA1E5C41564BULL,
- 0xD6406CFF14266D31ULL, 0xF8104DD258AC507FULL, 0x6765A442EFB99905ULL,
- 0xA4D1CBD5C3FD3412ULL
-};
-
-static const BN_ULONG dh1024_160_q[] = {
- 0x64B7CB9D49462353ULL, 0x81A8DF278ABA4E7DULL, 0x00000000F518AA87ULL
-};
-
-static const BN_ULONG dh2048_224_p[] = {
- 0x0AC4DFFE0C10E64FULL, 0xCF9DE5384E71B81CULL, 0x7EF363E2FFA31F71ULL,
- 0xE3FB73C16B8E75B9ULL, 0xC9B53DCF4BA80A29ULL, 0x23F10B0E16E79763ULL,
- 0xC52172E413042E9BULL, 0xBE60E69CC928B2B9ULL, 0x80CD86A1B9E587E8ULL,
- 0x315D75E198C641A4ULL, 0xCDF93ACC44328387ULL, 0x15987D9ADC0A486DULL,
- 0x7310F7121FD5A074ULL, 0x278273C7DE31EFDCULL, 0x1602E714415D9330ULL,
- 0x81286130BC8985DBULL, 0xB3BF8A3170918836ULL, 0x6A00E0A0B9C49708ULL,
- 0xC6BA0B2C8BBC27BEULL, 0xC9F98D11ED34DBF6ULL, 0x7AD5B7D0B6C12207ULL,
- 0xD91E8FEF55B7394BULL, 0x9037C9EDEFDA4DF8ULL, 0x6D3F8152AD6AC212ULL,
- 0x1DE6B85A1274A0A6ULL, 0xEB3D688A309C180EULL, 0xAF9A3C407BA1DF15ULL,
- 0xE6FA141DF95A56DBULL, 0xB54B1597B61D0A75ULL, 0xA20D64E5683B9FD1ULL,
- 0xD660FAA79559C51FULL, 0xAD107E1E9123A9D0ULL
-};
-
-static const BN_ULONG dh2048_224_g[] = {
- 0x84B890D3191F2BFAULL, 0x81BC087F2A7065B3ULL, 0x19C418E1F6EC0179ULL,
- 0x7B5A0F1C71CFFF4CULL, 0xEDFE72FE9B6AA4BDULL, 0x81E1BCFE94B30269ULL,
- 0x566AFBB48D6C0191ULL, 0xB539CCE3409D13CDULL, 0x6AA21E7F5F2FF381ULL,
- 0xD9E263E4770589EFULL, 0x10E183EDD19963DDULL, 0xB70A8137150B8EEBULL,
- 0x051AE3D428C8F8ACULL, 0xBB77A86F0C1AB15BULL, 0x6E3025E316A330EFULL,
- 0x19529A45D6F83456ULL, 0xF180EB34118E98D1ULL, 0xB5F6C6B250717CBEULL,
- 0x09939D54DA7460CDULL, 0xE247150422EA1ED4ULL, 0xB8A762D0521BC98AULL,
- 0xF4D027275AC1348BULL, 0xC17669101999024AULL, 0xBE5E9001A8D66AD7ULL,
- 0xC57DB17C620A8652ULL, 0xAB739D7700C29F52ULL, 0xDD921F01A70C4AFAULL,
- 0xA6824A4E10B9A6F0ULL, 0x74866A08CFE4FFE3ULL, 0x6CDEBE7B89998CAFULL,
- 0x9DF30B5C8FFDAC50ULL, 0xAC4032EF4F2D9AE3ULL
-};
-
-static const BN_ULONG dh2048_224_q[] = {
- 0xBF389A99B36371EBULL, 0x1F80535A4738CEBCULL, 0xC58D93FE99717710ULL,
- 0x00000000801C0D34ULL
-};
-
-static const BN_ULONG dh2048_256_p[] = {
- 0xDB094AE91E1A1597ULL, 0x693877FAD7EF09CAULL, 0x6116D2276E11715FULL,
- 0xA4B54330C198AF12ULL, 0x75F26375D7014103ULL, 0xC3A3960A54E710C3ULL,
- 0xDED4010ABD0BE621ULL, 0xC0B857F689962856ULL, 0xB3CA3F7971506026ULL,
- 0x1CCACB83E6B486F6ULL, 0x67E144E514056425ULL, 0xF6A167B5A41825D9ULL,
- 0x3AD8347796524D8EULL, 0xF13C6D9A51BFA4ABULL, 0x2D52526735488A0EULL,
- 0xB63ACAE1CAA6B790ULL, 0x4FDB70C581B23F76ULL, 0xBC39A0BF12307F5CULL,
- 0xB941F54EB1E59BB8ULL, 0x6C5BFC11D45F9088ULL, 0x22E0B1EF4275BF7BULL,
- 0x91F9E6725B4758C0ULL, 0x5A8A9D306BCF67EDULL, 0x209E0C6497517ABDULL,
- 0x3BF4296D830E9A7CULL, 0x16C3D91134096FAAULL, 0xFAF7DF4561B2AA30ULL,
- 0xE00DF8F1D61957D4ULL, 0x5D2CEED4435E3B00ULL, 0x8CEEF608660DD0F2ULL,
- 0xFFBBD19C65195999ULL, 0x87A8E61DB4B6663CULL
-};
-
-static const BN_ULONG dh2048_256_g[] = {
- 0x664B4C0F6CC41659ULL, 0x5E2327CFEF98C582ULL, 0xD647D148D4795451ULL,
- 0x2F63078490F00EF8ULL, 0x184B523D1DB246C3ULL, 0xC7891428CDC67EB6ULL,
- 0x7FD028370DF92B52ULL, 0xB3353BBB64E0EC37ULL, 0xECD06E1557CD0915ULL,
- 0xB7D2BBD2DF016199ULL, 0xC8484B1E052588B9ULL, 0xDB2A3B7313D3FE14ULL,
- 0xD052B985D182EA0AULL, 0xA4BD1BFFE83B9C80ULL, 0xDFC967C1FB3F2E55ULL,
- 0xB5045AF2767164E1ULL, 0x1D14348F6F2F9193ULL, 0x64E67982428EBC83ULL,
- 0x8AC376D282D6ED38ULL, 0x777DE62AAAB8A862ULL, 0xDDF463E5E9EC144BULL,
- 0x0196F931C77A57F2ULL, 0xA55AE31341000A65ULL, 0x901228F8C28CBB18ULL,
- 0xBC3773BF7E8C6F62ULL, 0xBE3A6C1B0C6B47B1ULL, 0xFF4FED4AAC0BB555ULL,
- 0x10DBC15077BE463FULL, 0x07F4793A1A0BA125ULL, 0x4CA7B18F21EF2054ULL,
- 0x2E77506660EDBD48ULL, 0x3FB32C9B73134D0BULL
-};
-
-static const BN_ULONG dh2048_256_q[] = {
- 0xA308B0FE64F5FBD3ULL, 0x99B1A47D1EB3750BULL, 0xB447997640129DA2ULL,
- 0x8CF83642A709A097ULL
-};
-
-/* Primes from RFC 7919 */
-static const BN_ULONG ffdhe2048_p[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0x886B423861285C97ULL, 0xC6F34A26C1B2EFFAULL,
- 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL,
- 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL,
- 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL,
- 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL,
- 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL,
- 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL,
- 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL,
- 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL,
- 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL,
- 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
-};
-
-static const BN_ULONG ffdhe3072_p[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0x25E41D2B66C62E37ULL, 0x3C1B20EE3FD59D7CULL,
- 0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL,
- 0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL,
- 0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL, 0xAEFE130985139270ULL,
- 0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL,
- 0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL,
- 0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL,
- 0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL,
- 0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL,
- 0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL,
- 0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL,
- 0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL,
- 0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL,
- 0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL,
- 0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL,
- 0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
-};
-
-static const BN_ULONG ffdhe4096_p[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0xC68A007E5E655F6AULL, 0x4DB5A851F44182E1ULL,
- 0x8EC9B55A7F88A46BULL, 0x0A8291CDCEC97DCFULL, 0x2A4ECEA9F98D0ACCULL,
- 0x1A1DB93D7140003CULL, 0x092999A333CB8B7AULL, 0x6DC778F971AD0038ULL,
- 0xA907600A918130C4ULL, 0xED6A1E012D9E6832ULL, 0x7135C886EFB4318AULL,
- 0x87F55BA57E31CC7AULL, 0x7763CF1D55034004ULL, 0xAC7D5F42D69F6D18ULL,
- 0x7930E9E4E58857B6ULL, 0x6E6F52C3164DF4FBULL, 0x25E41D2B669E1EF1ULL,
- 0x3C1B20EE3FD59D7CULL, 0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL,
- 0xABC521979B0DEADAULL, 0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL,
- 0x64F2E21E71F54BFFULL, 0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL,
- 0xAEFE130985139270ULL, 0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL,
- 0x61B46FC9D6E6C907ULL, 0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL,
- 0x886B4238611FCFDCULL, 0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL,
- 0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL,
- 0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL,
- 0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL,
- 0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL,
- 0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL,
- 0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL,
- 0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL,
- 0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL,
- 0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL,
- 0xFFFFFFFFFFFFFFFFULL
-};
+# define BN_DEF(lo, hi) (BN_ULONG)hi << 32 | lo
+# else
+# define BN_DEF(lo, hi) lo, hi
+# endif
-static const BN_ULONG ffdhe6144_p[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0xA40E329CD0E40E65ULL, 0xA41D570D7938DAD4ULL,
- 0x62A69526D43161C1ULL, 0x3FDD4A8E9ADB1E69ULL, 0x5B3B71F9DC6B80D6ULL,
- 0xEC9D1810C6272B04ULL, 0x8CCF2DD5CACEF403ULL, 0xE49F5235C95B9117ULL,
- 0x505DC82DB854338AULL, 0x62292C311562A846ULL, 0xD72B03746AE77F5EULL,
- 0xF9C9091B462D538CULL, 0x0AE8DB5847A67CBEULL, 0xB3A739C122611682ULL,
- 0xEEAAC0232A281BF6ULL, 0x94C6651E77CAF992ULL, 0x763E4E4B94B2BBC1ULL,
- 0x587E38DA0077D9B4ULL, 0x7FB29F8C183023C3ULL, 0x0ABEC1FFF9E3A26EULL,
- 0xA00EF092350511E3ULL, 0xB855322EDB6340D8ULL, 0xA52471F7A9A96910ULL,
- 0x388147FB4CFDB477ULL, 0x9B1F5C3E4E46041FULL, 0xCDAD0657FCCFEC71ULL,
- 0xB38E8C334C701C3AULL, 0x917BDD64B1C0FD4CULL, 0x3BB454329B7624C8ULL,
- 0x23BA4442CAF53EA6ULL, 0x4E677D2C38532A3AULL, 0x0BFD64B645036C7AULL,
- 0xC68A007E5E0DD902ULL, 0x4DB5A851F44182E1ULL, 0x8EC9B55A7F88A46BULL,
- 0x0A8291CDCEC97DCFULL, 0x2A4ECEA9F98D0ACCULL, 0x1A1DB93D7140003CULL,
- 0x092999A333CB8B7AULL, 0x6DC778F971AD0038ULL, 0xA907600A918130C4ULL,
- 0xED6A1E012D9E6832ULL, 0x7135C886EFB4318AULL, 0x87F55BA57E31CC7AULL,
- 0x7763CF1D55034004ULL, 0xAC7D5F42D69F6D18ULL, 0x7930E9E4E58857B6ULL,
- 0x6E6F52C3164DF4FBULL, 0x25E41D2B669E1EF1ULL, 0x3C1B20EE3FD59D7CULL,
- 0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL,
- 0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL,
- 0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL, 0xAEFE130985139270ULL,
- 0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL,
- 0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL,
- 0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL,
- 0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL,
- 0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL,
- 0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL,
- 0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL,
- 0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL,
- 0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL,
- 0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL,
- 0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL,
- 0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
-};
+/* DH parameters from RFC3526 */
-static const BN_ULONG ffdhe8192_p[] = {
- 0xFFFFFFFFFFFFFFFFULL, 0xD68C8BB7C5C6424CULL, 0x011E2A94838FF88CULL,
- 0x0822E506A9F4614EULL, 0x97D11D49F7A8443DULL, 0xA6BBFDE530677F0DULL,
- 0x2F741EF8C1FE86FEULL, 0xFAFABE1C5D71A87EULL, 0xDED2FBABFBE58A30ULL,
- 0xB6855DFE72B0A66EULL, 0x1EFC8CE0BA8A4FE8ULL, 0x83F81D4A3F2FA457ULL,
- 0xA1FE3075A577E231ULL, 0xD5B8019488D9C0A0ULL, 0x624816CDAD9A95F9ULL,
- 0x99E9E31650C1217BULL, 0x51AA691E0E423CFCULL, 0x1C217E6C3826E52CULL,
- 0x51A8A93109703FEEULL, 0xBB7099876A460E74ULL, 0x541FC68C9C86B022ULL,
- 0x59160CC046FD8251ULL, 0x2846C0BA35C35F5CULL, 0x54504AC78B758282ULL,
- 0x29388839D2AF05E4ULL, 0xCB2C0F1CC01BD702ULL, 0x555B2F747C932665ULL,
- 0x86B63142A3AB8829ULL, 0x0B8CC3BDF64B10EFULL, 0x687FEB69EDD1CC5EULL,
- 0xFDB23FCEC9509D43ULL, 0x1E425A31D951AE64ULL, 0x36AD004CF600C838ULL,
- 0xA40E329CCFF46AAAULL, 0xA41D570D7938DAD4ULL, 0x62A69526D43161C1ULL,
- 0x3FDD4A8E9ADB1E69ULL, 0x5B3B71F9DC6B80D6ULL, 0xEC9D1810C6272B04ULL,
- 0x8CCF2DD5CACEF403ULL, 0xE49F5235C95B9117ULL, 0x505DC82DB854338AULL,
- 0x62292C311562A846ULL, 0xD72B03746AE77F5EULL, 0xF9C9091B462D538CULL,
- 0x0AE8DB5847A67CBEULL, 0xB3A739C122611682ULL, 0xEEAAC0232A281BF6ULL,
- 0x94C6651E77CAF992ULL, 0x763E4E4B94B2BBC1ULL, 0x587E38DA0077D9B4ULL,
- 0x7FB29F8C183023C3ULL, 0x0ABEC1FFF9E3A26EULL, 0xA00EF092350511E3ULL,
- 0xB855322EDB6340D8ULL, 0xA52471F7A9A96910ULL, 0x388147FB4CFDB477ULL,
- 0x9B1F5C3E4E46041FULL, 0xCDAD0657FCCFEC71ULL, 0xB38E8C334C701C3AULL,
- 0x917BDD64B1C0FD4CULL, 0x3BB454329B7624C8ULL, 0x23BA4442CAF53EA6ULL,
- 0x4E677D2C38532A3AULL, 0x0BFD64B645036C7AULL, 0xC68A007E5E0DD902ULL,
- 0x4DB5A851F44182E1ULL, 0x8EC9B55A7F88A46BULL, 0x0A8291CDCEC97DCFULL,
- 0x2A4ECEA9F98D0ACCULL, 0x1A1DB93D7140003CULL, 0x092999A333CB8B7AULL,
- 0x6DC778F971AD0038ULL, 0xA907600A918130C4ULL, 0xED6A1E012D9E6832ULL,
- 0x7135C886EFB4318AULL, 0x87F55BA57E31CC7AULL, 0x7763CF1D55034004ULL,
- 0xAC7D5F42D69F6D18ULL, 0x7930E9E4E58857B6ULL, 0x6E6F52C3164DF4FBULL,
- 0x25E41D2B669E1EF1ULL, 0x3C1B20EE3FD59D7CULL, 0x0ABCD06BFA53DDEFULL,
- 0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL, 0xE86D2BC522363A0DULL,
- 0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL, 0xF4FD4452E2D74DD3ULL,
- 0xB4130C93BC437944ULL, 0xAEFE130985139270ULL, 0x598CB0FAC186D91CULL,
- 0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL, 0xBC34F4DEF99C0238ULL,
- 0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL, 0xC6F34A26C1B2EFFAULL,
- 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL,
- 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL,
- 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL,
- 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL,
- 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL,
- 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL,
- 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL,
- 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL,
- 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL,
- 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
+/*
+ * "1536-bit MODP Group" from RFC3526, Section 2.
+ *
+ * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
+ *
+ * RFC3526 specifies a generator of 2.
+ * RFC2312 specifies a generator of 22.
+ */
+static const BN_ULONG modp_1536_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCA237327, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_1536_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6511B993, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF)
+};
+
+/*-
+ * "2048-bit MODP Group" from RFC3526, Section 3.
+ *
+ * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_2048_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x8AACAA68, 0x15728E5A),
+ BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+ BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+ BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+ BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_2048_q[] = {
+ BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x45565534, 0x0AB9472D),
+ BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE),
+ BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8),
+ BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96),
+ BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
+};
+
+/*-
+ * "3072-bit MODP Group" from RFC3526, Section 4.
+ *
+ * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_3072_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xA93AD2CA, 0x4B82D120),
+ BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+ BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+ BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+ BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+ BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+ BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+ BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+ BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+ BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+ BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+ BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+ BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_3072_q[] = {
+ BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x549D6965, 0x25C16890),
+ BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0),
+ BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB),
+ BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139),
+ BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913),
+ BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746),
+ BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB),
+ BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5),
+ BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D),
+ BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE),
+ BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8),
+ BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96),
+ BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
+};
+
+/*-
+ * "4096-bit MODP Group" from RFC3526, Section 5.
+ *
+ * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_4096_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x34063199, 0x4DF435C9),
+ BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+ BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+ BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+ BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+ BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+ BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+ BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+ BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+ BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+ BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+ BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+ BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+ BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+ BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+ BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+ BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+ BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+ BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+ BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+ BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_4096_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x9A0318CC, 0xA6FA1AE4),
+ BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C),
+ BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB),
+ BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3),
+ BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3),
+ BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D),
+ BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A),
+ BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08),
+ BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890),
+ BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0),
+ BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB),
+ BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139),
+ BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913),
+ BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746),
+ BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB),
+ BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5),
+ BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D),
+ BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE),
+ BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8),
+ BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96),
+ BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
+};
+
+/*-
+ * "6144-bit MODP Group" from RFC3526, Section 6.
+ *
+ * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_6144_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6DCC4024, 0xE694F91E),
+ BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66),
+ BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC),
+ BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D),
+ BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE),
+ BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E),
+ BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7),
+ BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F),
+ BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F),
+ BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15),
+ BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401),
+ BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447),
+ BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB),
+ BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED),
+ BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406),
+ BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2),
+ BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9),
+ BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+ BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+ BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+ BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+ BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+ BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+ BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+ BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+ BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+ BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+ BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+ BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+ BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+ BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+ BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+ BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+ BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+ BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+ BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+ BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_6144_q[] = {
+ BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x36E62012, 0x734A7C8F),
+ BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3),
+ BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6),
+ BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E),
+ BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7),
+ BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF),
+ BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB),
+ BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF),
+ BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817),
+ BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A),
+ BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00),
+ BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23),
+ BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5),
+ BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6),
+ BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03),
+ BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59),
+ BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4),
+ BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C),
+ BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB),
+ BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3),
+ BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3),
+ BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D),
+ BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A),
+ BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08),
+ BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890),
+ BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0),
+ BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB),
+ BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139),
+ BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913),
+ BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746),
+ BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB),
+ BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5),
+ BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D),
+ BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE),
+ BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8),
+ BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96),
+ BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
+};
+
+/*
+ * "8192-bit MODP Group" from RFC3526, Section 7.
+ *
+ * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_8192_p[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x98EDD3DF, 0x60C980DD),
+ BN_DEF(0x80B96E71, 0xC81F56E8), BN_DEF(0x765694DF, 0x9E3050E2),
+ BN_DEF(0x5677E9AA, 0x9558E447), BN_DEF(0xFC026E47, 0xC9190DA6),
+ BN_DEF(0xD5EE382B, 0x889A002E), BN_DEF(0x481C6CD7, 0x4009438B),
+ BN_DEF(0xEB879F92, 0x359046F4), BN_DEF(0x1ECFA268, 0xFAF36BC3),
+ BN_DEF(0x7EE74D73, 0xB1D510BD), BN_DEF(0x5DED7EA1, 0xF9AB4819),
+ BN_DEF(0x0846851D, 0x64F31CC5), BN_DEF(0xA0255DC1, 0x4597E899),
+ BN_DEF(0x74AB6A36, 0xDF310EE0), BN_DEF(0x3F44F82D, 0x6D2A13F8),
+ BN_DEF(0xB3A278A6, 0x062B3CF5), BN_DEF(0xED5BDD3A, 0x79683303),
+ BN_DEF(0xA2C087E8, 0xFA9D4B7F), BN_DEF(0x2F8385DD, 0x4BCBC886),
+ BN_DEF(0x6CEA306B, 0x3473FC64), BN_DEF(0x1A23F0C7, 0x13EB57A8),
+ BN_DEF(0xA4037C07, 0x22222E04), BN_DEF(0xFC848AD9, 0xE3FDB8BE),
+ BN_DEF(0xE39D652D, 0x238F16CB), BN_DEF(0x2BF1C978, 0x3423B474),
+ BN_DEF(0x5AE4F568, 0x3AAB639C), BN_DEF(0x6BA42466, 0x2576F693),
+ BN_DEF(0x8AFC47ED, 0x741FA7BF), BN_DEF(0x8D9DD300, 0x3BC832B6),
+ BN_DEF(0x73B931BA, 0xD8BEC4D0), BN_DEF(0xA932DF8C, 0x38777CB6),
+ BN_DEF(0x12FEE5E4, 0x74A3926F), BN_DEF(0x6DBE1159, 0xE694F91E),
+ BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66),
+ BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC),
+ BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D),
+ BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE),
+ BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E),
+ BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7),
+ BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F),
+ BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F),
+ BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15),
+ BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401),
+ BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447),
+ BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB),
+ BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED),
+ BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406),
+ BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2),
+ BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9),
+ BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+ BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+ BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+ BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+ BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+ BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+ BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+ BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+ BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+ BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+ BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+ BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+ BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+ BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+ BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+ BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+ BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+ BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+ BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+ BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+ BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+ BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+ BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+ BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+ BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+ BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+ BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+ BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+ BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+ BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+ BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG modp_8192_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCC76E9EF, 0xB064C06E),
+ BN_DEF(0x405CB738, 0xE40FAB74), BN_DEF(0x3B2B4A6F, 0x4F182871),
+ BN_DEF(0xAB3BF4D5, 0xCAAC7223), BN_DEF(0x7E013723, 0xE48C86D3),
+ BN_DEF(0x6AF71C15, 0xC44D0017), BN_DEF(0xA40E366B, 0x2004A1C5),
+ BN_DEF(0x75C3CFC9, 0x1AC8237A), BN_DEF(0x8F67D134, 0xFD79B5E1),
+ BN_DEF(0xBF73A6B9, 0xD8EA885E), BN_DEF(0xAEF6BF50, 0xFCD5A40C),
+ BN_DEF(0x8423428E, 0xB2798E62), BN_DEF(0xD012AEE0, 0x22CBF44C),
+ BN_DEF(0x3A55B51B, 0xEF988770), BN_DEF(0x1FA27C16, 0x369509FC),
+ BN_DEF(0xD9D13C53, 0x03159E7A), BN_DEF(0xF6ADEE9D, 0x3CB41981),
+ BN_DEF(0xD16043F4, 0xFD4EA5BF), BN_DEF(0x17C1C2EE, 0xA5E5E443),
+ BN_DEF(0x36751835, 0x9A39FE32), BN_DEF(0x0D11F863, 0x89F5ABD4),
+ BN_DEF(0x5201BE03, 0x91111702), BN_DEF(0x7E42456C, 0xF1FEDC5F),
+ BN_DEF(0xF1CEB296, 0x11C78B65), BN_DEF(0x15F8E4BC, 0x1A11DA3A),
+ BN_DEF(0x2D727AB4, 0x1D55B1CE), BN_DEF(0xB5D21233, 0x92BB7B49),
+ BN_DEF(0xC57E23F6, 0x3A0FD3DF), BN_DEF(0x46CEE980, 0x1DE4195B),
+ BN_DEF(0x39DC98DD, 0x6C5F6268), BN_DEF(0x54996FC6, 0x1C3BBE5B),
+ BN_DEF(0x897F72F2, 0xBA51C937), BN_DEF(0x36DF08AC, 0x734A7C8F),
+ BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3),
+ BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6),
+ BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E),
+ BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7),
+ BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF),
+ BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB),
+ BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF),
+ BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817),
+ BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A),
+ BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00),
+ BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23),
+ BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5),
+ BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6),
+ BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03),
+ BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59),
+ BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4),
+ BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C),
+ BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB),
+ BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3),
+ BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3),
+ BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D),
+ BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A),
+ BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08),
+ BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890),
+ BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0),
+ BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB),
+ BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139),
+ BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913),
+ BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746),
+ BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB),
+ BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5),
+ BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D),
+ BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE),
+ BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8),
+ BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96),
+ BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604),
+ BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483),
+ BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91),
+ BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B),
+ BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328),
+ BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD),
+ BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174),
+ BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6),
+ BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9),
+ BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53),
+ BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145),
+ BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
-# elif BN_BITS2 == 32
-
+/* DH parameters from RFC5114 */
static const BN_ULONG dh1024_160_p[] = {
- 0x2E4A4371, 0xDF1FB2BC, 0x6D4DA708, 0xE68CFDA7, 0x365C1A65, 0x45BF37DF,
- 0x0DC8B4BD, 0xA151AF5F, 0xF55BCCC0, 0xFAA31A4F, 0xE5644738, 0x4EFFD6FA,
- 0x219A7372, 0x98488E9C, 0x90C4BD70, 0xACCBDD7D, 0xD49B83BF, 0x24975C3C,
- 0xA9061123, 0x13ECB4AE, 0x2EE652C0, 0x9838EF1E, 0x75A23D18, 0x6073E286,
- 0x52D23B61, 0x9A6A9DCA, 0xFB06A3C6, 0x52C99FBC, 0xAE5D54EC, 0xDE92DE5E,
- 0xA080E01D, 0xB10B8F96
-};
-
-static const BN_ULONG dh1024_160_g[] = {
- 0x22B3B2E5, 0x855E6EEB, 0xF97C2A24, 0x858F4DCE, 0x18D08BC8, 0x2D779D59,
- 0x8E73AFA3, 0xD662A4D1, 0x69B6A28A, 0x1DBF0A01, 0x7A091F53, 0xA6A24C08,
- 0x63F80A76, 0x909D0D22, 0xB9A92EE1, 0xD7FBD7D3, 0x9E2749F4, 0x5E91547F,
- 0xB01B886A, 0x160217B4, 0x5504F213, 0x777E690F, 0x5C41564B, 0x266FEA1E,
- 0x14266D31, 0xD6406CFF, 0x58AC507F, 0xF8104DD2, 0xEFB99905, 0x6765A442,
- 0xC3FD3412, 0xA4D1CBD5
+ BN_DEF(0x2E4A4371, 0xDF1FB2BC), BN_DEF(0x6D4DA708, 0xE68CFDA7),
+ BN_DEF(0x365C1A65, 0x45BF37DF), BN_DEF(0x0DC8B4BD, 0xA151AF5F),
+ BN_DEF(0xF55BCCC0, 0xFAA31A4F), BN_DEF(0xE5644738, 0x4EFFD6FA),
+ BN_DEF(0x219A7372, 0x98488E9C), BN_DEF(0x90C4BD70, 0xACCBDD7D),
+ BN_DEF(0xD49B83BF, 0x24975C3C), BN_DEF(0xA9061123, 0x13ECB4AE),
+ BN_DEF(0x2EE652C0, 0x9838EF1E), BN_DEF(0x75A23D18, 0x6073E286),
+ BN_DEF(0x52D23B61, 0x9A6A9DCA), BN_DEF(0xFB06A3C6, 0x52C99FBC),
+ BN_DEF(0xAE5D54EC, 0xDE92DE5E), BN_DEF(0xA080E01D, 0xB10B8F96)
};
-
static const BN_ULONG dh1024_160_q[] = {
- 0x49462353, 0x64B7CB9D, 0x8ABA4E7D, 0x81A8DF27, 0xF518AA87
+ BN_DEF(0x49462353, 0x64B7CB9D), BN_DEF(0x8ABA4E7D, 0x81A8DF27),
+ (BN_ULONG)0xF518AA87
};
-
-static const BN_ULONG dh2048_224_p[] = {
- 0x0C10E64F, 0x0AC4DFFE, 0x4E71B81C, 0xCF9DE538, 0xFFA31F71, 0x7EF363E2,
- 0x6B8E75B9, 0xE3FB73C1, 0x4BA80A29, 0xC9B53DCF, 0x16E79763, 0x23F10B0E,
- 0x13042E9B, 0xC52172E4, 0xC928B2B9, 0xBE60E69C, 0xB9E587E8, 0x80CD86A1,
- 0x98C641A4, 0x315D75E1, 0x44328387, 0xCDF93ACC, 0xDC0A486D, 0x15987D9A,
- 0x1FD5A074, 0x7310F712, 0xDE31EFDC, 0x278273C7, 0x415D9330, 0x1602E714,
- 0xBC8985DB, 0x81286130, 0x70918836, 0xB3BF8A31, 0xB9C49708, 0x6A00E0A0,
- 0x8BBC27BE, 0xC6BA0B2C, 0xED34DBF6, 0xC9F98D11, 0xB6C12207, 0x7AD5B7D0,
- 0x55B7394B, 0xD91E8FEF, 0xEFDA4DF8, 0x9037C9ED, 0xAD6AC212, 0x6D3F8152,
- 0x1274A0A6, 0x1DE6B85A, 0x309C180E, 0xEB3D688A, 0x7BA1DF15, 0xAF9A3C40,
- 0xF95A56DB, 0xE6FA141D, 0xB61D0A75, 0xB54B1597, 0x683B9FD1, 0xA20D64E5,
- 0x9559C51F, 0xD660FAA7, 0x9123A9D0, 0xAD107E1E
+static const BN_ULONG dh1024_160_g[] = {
+ BN_DEF(0x22B3B2E5, 0x855E6EEB), BN_DEF(0xF97C2A24, 0x858F4DCE),
+ BN_DEF(0x18D08BC8, 0x2D779D59), BN_DEF(0x8E73AFA3, 0xD662A4D1),
+ BN_DEF(0x69B6A28A, 0x1DBF0A01), BN_DEF(0x7A091F53, 0xA6A24C08),
+ BN_DEF(0x63F80A76, 0x909D0D22), BN_DEF(0xB9A92EE1, 0xD7FBD7D3),
+ BN_DEF(0x9E2749F4, 0x5E91547F), BN_DEF(0xB01B886A, 0x160217B4),
+ BN_DEF(0x5504F213, 0x777E690F), BN_DEF(0x5C41564B, 0x266FEA1E),
+ BN_DEF(0x14266D31, 0xD6406CFF), BN_DEF(0x58AC507F, 0xF8104DD2),
+ BN_DEF(0xEFB99905, 0x6765A442), BN_DEF(0xC3FD3412, 0xA4D1CBD5)
};
-static const BN_ULONG dh2048_224_g[] = {
- 0x191F2BFA, 0x84B890D3, 0x2A7065B3, 0x81BC087F, 0xF6EC0179, 0x19C418E1,
- 0x71CFFF4C, 0x7B5A0F1C, 0x9B6AA4BD, 0xEDFE72FE, 0x94B30269, 0x81E1BCFE,
- 0x8D6C0191, 0x566AFBB4, 0x409D13CD, 0xB539CCE3, 0x5F2FF381, 0x6AA21E7F,
- 0x770589EF, 0xD9E263E4, 0xD19963DD, 0x10E183ED, 0x150B8EEB, 0xB70A8137,
- 0x28C8F8AC, 0x051AE3D4, 0x0C1AB15B, 0xBB77A86F, 0x16A330EF, 0x6E3025E3,
- 0xD6F83456, 0x19529A45, 0x118E98D1, 0xF180EB34, 0x50717CBE, 0xB5F6C6B2,
- 0xDA7460CD, 0x09939D54, 0x22EA1ED4, 0xE2471504, 0x521BC98A, 0xB8A762D0,
- 0x5AC1348B, 0xF4D02727, 0x1999024A, 0xC1766910, 0xA8D66AD7, 0xBE5E9001,
- 0x620A8652, 0xC57DB17C, 0x00C29F52, 0xAB739D77, 0xA70C4AFA, 0xDD921F01,
- 0x10B9A6F0, 0xA6824A4E, 0xCFE4FFE3, 0x74866A08, 0x89998CAF, 0x6CDEBE7B,
- 0x8FFDAC50, 0x9DF30B5C, 0x4F2D9AE3, 0xAC4032EF
+static const BN_ULONG dh2048_224_p[] = {
+ BN_DEF(0x0C10E64F, 0x0AC4DFFE), BN_DEF(0x4E71B81C, 0xCF9DE538),
+ BN_DEF(0xFFA31F71, 0x7EF363E2), BN_DEF(0x6B8E75B9, 0xE3FB73C1),
+ BN_DEF(0x4BA80A29, 0xC9B53DCF), BN_DEF(0x16E79763, 0x23F10B0E),
+ BN_DEF(0x13042E9B, 0xC52172E4), BN_DEF(0xC928B2B9, 0xBE60E69C),
+ BN_DEF(0xB9E587E8, 0x80CD86A1), BN_DEF(0x98C641A4, 0x315D75E1),
+ BN_DEF(0x44328387, 0xCDF93ACC), BN_DEF(0xDC0A486D, 0x15987D9A),
+ BN_DEF(0x1FD5A074, 0x7310F712), BN_DEF(0xDE31EFDC, 0x278273C7),
+ BN_DEF(0x415D9330, 0x1602E714), BN_DEF(0xBC8985DB, 0x81286130),
+ BN_DEF(0x70918836, 0xB3BF8A31), BN_DEF(0xB9C49708, 0x6A00E0A0),
+ BN_DEF(0x8BBC27BE, 0xC6BA0B2C), BN_DEF(0xED34DBF6, 0xC9F98D11),
+ BN_DEF(0xB6C12207, 0x7AD5B7D0), BN_DEF(0x55B7394B, 0xD91E8FEF),
+ BN_DEF(0xEFDA4DF8, 0x9037C9ED), BN_DEF(0xAD6AC212, 0x6D3F8152),
+ BN_DEF(0x1274A0A6, 0x1DE6B85A), BN_DEF(0x309C180E, 0xEB3D688A),
+ BN_DEF(0x7BA1DF15, 0xAF9A3C40), BN_DEF(0xF95A56DB, 0xE6FA141D),
+ BN_DEF(0xB61D0A75, 0xB54B1597), BN_DEF(0x683B9FD1, 0xA20D64E5),
+ BN_DEF(0x9559C51F, 0xD660FAA7), BN_DEF(0x9123A9D0, 0xAD107E1E)
};
-
static const BN_ULONG dh2048_224_q[] = {
- 0xB36371EB, 0xBF389A99, 0x4738CEBC, 0x1F80535A, 0x99717710, 0xC58D93FE,
- 0x801C0D34
+ BN_DEF(0xB36371EB, 0xBF389A99), BN_DEF(0x4738CEBC, 0x1F80535A),
+ BN_DEF(0x99717710, 0xC58D93FE), (BN_ULONG)0x801C0D34
};
-
-static const BN_ULONG dh2048_256_p[] = {
- 0x1E1A1597, 0xDB094AE9, 0xD7EF09CA, 0x693877FA, 0x6E11715F, 0x6116D227,
- 0xC198AF12, 0xA4B54330, 0xD7014103, 0x75F26375, 0x54E710C3, 0xC3A3960A,
- 0xBD0BE621, 0xDED4010A, 0x89962856, 0xC0B857F6, 0x71506026, 0xB3CA3F79,
- 0xE6B486F6, 0x1CCACB83, 0x14056425, 0x67E144E5, 0xA41825D9, 0xF6A167B5,
- 0x96524D8E, 0x3AD83477, 0x51BFA4AB, 0xF13C6D9A, 0x35488A0E, 0x2D525267,
- 0xCAA6B790, 0xB63ACAE1, 0x81B23F76, 0x4FDB70C5, 0x12307F5C, 0xBC39A0BF,
- 0xB1E59BB8, 0xB941F54E, 0xD45F9088, 0x6C5BFC11, 0x4275BF7B, 0x22E0B1EF,
- 0x5B4758C0, 0x91F9E672, 0x6BCF67ED, 0x5A8A9D30, 0x97517ABD, 0x209E0C64,
- 0x830E9A7C, 0x3BF4296D, 0x34096FAA, 0x16C3D911, 0x61B2AA30, 0xFAF7DF45,
- 0xD61957D4, 0xE00DF8F1, 0x435E3B00, 0x5D2CEED4, 0x660DD0F2, 0x8CEEF608,
- 0x65195999, 0xFFBBD19C, 0xB4B6663C, 0x87A8E61D
+static const BN_ULONG dh2048_224_g[] = {
+ BN_DEF(0x191F2BFA, 0x84B890D3), BN_DEF(0x2A7065B3, 0x81BC087F),
+ BN_DEF(0xF6EC0179, 0x19C418E1), BN_DEF(0x71CFFF4C, 0x7B5A0F1C),
+ BN_DEF(0x9B6AA4BD, 0xEDFE72FE), BN_DEF(0x94B30269, 0x81E1BCFE),
+ BN_DEF(0x8D6C0191, 0x566AFBB4), BN_DEF(0x409D13CD, 0xB539CCE3),
+ BN_DEF(0x5F2FF381, 0x6AA21E7F), BN_DEF(0x770589EF, 0xD9E263E4),
+ BN_DEF(0xD19963DD, 0x10E183ED), BN_DEF(0x150B8EEB, 0xB70A8137),
+ BN_DEF(0x28C8F8AC, 0x051AE3D4), BN_DEF(0x0C1AB15B, 0xBB77A86F),
+ BN_DEF(0x16A330EF, 0x6E3025E3), BN_DEF(0xD6F83456, 0x19529A45),
+ BN_DEF(0x118E98D1, 0xF180EB34), BN_DEF(0x50717CBE, 0xB5F6C6B2),
+ BN_DEF(0xDA7460CD, 0x09939D54), BN_DEF(0x22EA1ED4, 0xE2471504),
+ BN_DEF(0x521BC98A, 0xB8A762D0), BN_DEF(0x5AC1348B, 0xF4D02727),
+ BN_DEF(0x1999024A, 0xC1766910), BN_DEF(0xA8D66AD7, 0xBE5E9001),
+ BN_DEF(0x620A8652, 0xC57DB17C), BN_DEF(0x00C29F52, 0xAB739D77),
+ BN_DEF(0xA70C4AFA, 0xDD921F01), BN_DEF(0x10B9A6F0, 0xA6824A4E),
+ BN_DEF(0xCFE4FFE3, 0x74866A08), BN_DEF(0x89998CAF, 0x6CDEBE7B),
+ BN_DEF(0x8FFDAC50, 0x9DF30B5C), BN_DEF(0x4F2D9AE3, 0xAC4032EF)
};
-static const BN_ULONG dh2048_256_g[] = {
- 0x6CC41659, 0x664B4C0F, 0xEF98C582, 0x5E2327CF, 0xD4795451, 0xD647D148,
- 0x90F00EF8, 0x2F630784, 0x1DB246C3, 0x184B523D, 0xCDC67EB6, 0xC7891428,
- 0x0DF92B52, 0x7FD02837, 0x64E0EC37, 0xB3353BBB, 0x57CD0915, 0xECD06E15,
- 0xDF016199, 0xB7D2BBD2, 0x052588B9, 0xC8484B1E, 0x13D3FE14, 0xDB2A3B73,
- 0xD182EA0A, 0xD052B985, 0xE83B9C80, 0xA4BD1BFF, 0xFB3F2E55, 0xDFC967C1,
- 0x767164E1, 0xB5045AF2, 0x6F2F9193, 0x1D14348F, 0x428EBC83, 0x64E67982,
- 0x82D6ED38, 0x8AC376D2, 0xAAB8A862, 0x777DE62A, 0xE9EC144B, 0xDDF463E5,
- 0xC77A57F2, 0x0196F931, 0x41000A65, 0xA55AE313, 0xC28CBB18, 0x901228F8,
- 0x7E8C6F62, 0xBC3773BF, 0x0C6B47B1, 0xBE3A6C1B, 0xAC0BB555, 0xFF4FED4A,
- 0x77BE463F, 0x10DBC150, 0x1A0BA125, 0x07F4793A, 0x21EF2054, 0x4CA7B18F,
- 0x60EDBD48, 0x2E775066, 0x73134D0B, 0x3FB32C9B
+static const BN_ULONG dh2048_256_p[] = {
+ BN_DEF(0x1E1A1597, 0xDB094AE9), BN_DEF(0xD7EF09CA, 0x693877FA),
+ BN_DEF(0x6E11715F, 0x6116D227), BN_DEF(0xC198AF12, 0xA4B54330),
+ BN_DEF(0xD7014103, 0x75F26375), BN_DEF(0x54E710C3, 0xC3A3960A),
+ BN_DEF(0xBD0BE621, 0xDED4010A), BN_DEF(0x89962856, 0xC0B857F6),
+ BN_DEF(0x71506026, 0xB3CA3F79), BN_DEF(0xE6B486F6, 0x1CCACB83),
+ BN_DEF(0x14056425, 0x67E144E5), BN_DEF(0xA41825D9, 0xF6A167B5),
+ BN_DEF(0x96524D8E, 0x3AD83477), BN_DEF(0x51BFA4AB, 0xF13C6D9A),
+ BN_DEF(0x35488A0E, 0x2D525267), BN_DEF(0xCAA6B790, 0xB63ACAE1),
+ BN_DEF(0x81B23F76, 0x4FDB70C5), BN_DEF(0x12307F5C, 0xBC39A0BF),
+ BN_DEF(0xB1E59BB8, 0xB941F54E), BN_DEF(0xD45F9088, 0x6C5BFC11),
+ BN_DEF(0x4275BF7B, 0x22E0B1EF), BN_DEF(0x5B4758C0, 0x91F9E672),
+ BN_DEF(0x6BCF67ED, 0x5A8A9D30), BN_DEF(0x97517ABD, 0x209E0C64),
+ BN_DEF(0x830E9A7C, 0x3BF4296D), BN_DEF(0x34096FAA, 0x16C3D911),
+ BN_DEF(0x61B2AA30, 0xFAF7DF45), BN_DEF(0xD61957D4, 0xE00DF8F1),
+ BN_DEF(0x435E3B00, 0x5D2CEED4), BN_DEF(0x660DD0F2, 0x8CEEF608),
+ BN_DEF(0x65195999, 0xFFBBD19C), BN_DEF(0xB4B6663C, 0x87A8E61D)
};
-
static const BN_ULONG dh2048_256_q[] = {
- 0x64F5FBD3, 0xA308B0FE, 0x1EB3750B, 0x99B1A47D, 0x40129DA2, 0xB4479976,
- 0xA709A097, 0x8CF83642
+ BN_DEF(0x64F5FBD3, 0xA308B0FE), BN_DEF(0x1EB3750B, 0x99B1A47D),
+ BN_DEF(0x40129DA2, 0xB4479976), BN_DEF(0xA709A097, 0x8CF83642)
+};
+static const BN_ULONG dh2048_256_g[] = {
+ BN_DEF(0x6CC41659, 0x664B4C0F), BN_DEF(0xEF98C582, 0x5E2327CF),
+ BN_DEF(0xD4795451, 0xD647D148), BN_DEF(0x90F00EF8, 0x2F630784),
+ BN_DEF(0x1DB246C3, 0x184B523D), BN_DEF(0xCDC67EB6, 0xC7891428),
+ BN_DEF(0x0DF92B52, 0x7FD02837), BN_DEF(0x64E0EC37, 0xB3353BBB),
+ BN_DEF(0x57CD0915, 0xECD06E15), BN_DEF(0xDF016199, 0xB7D2BBD2),
+ BN_DEF(0x052588B9, 0xC8484B1E), BN_DEF(0x13D3FE14, 0xDB2A3B73),
+ BN_DEF(0xD182EA0A, 0xD052B985), BN_DEF(0xE83B9C80, 0xA4BD1BFF),
+ BN_DEF(0xFB3F2E55, 0xDFC967C1), BN_DEF(0x767164E1, 0xB5045AF2),
+ BN_DEF(0x6F2F9193, 0x1D14348F), BN_DEF(0x428EBC83, 0x64E67982),
+ BN_DEF(0x82D6ED38, 0x8AC376D2), BN_DEF(0xAAB8A862, 0x777DE62A),
+ BN_DEF(0xE9EC144B, 0xDDF463E5), BN_DEF(0xC77A57F2, 0x0196F931),
+ BN_DEF(0x41000A65, 0xA55AE313), BN_DEF(0xC28CBB18, 0x901228F8),
+ BN_DEF(0x7E8C6F62, 0xBC3773BF), BN_DEF(0x0C6B47B1, 0xBE3A6C1B),
+ BN_DEF(0xAC0BB555, 0xFF4FED4A), BN_DEF(0x77BE463F, 0x10DBC150),
+ BN_DEF(0x1A0BA125, 0x07F4793A), BN_DEF(0x21EF2054, 0x4CA7B18F),
+ BN_DEF(0x60EDBD48, 0x2E775066), BN_DEF(0x73134D0B, 0x3FB32C9B)
};
/* Primes from RFC 7919 */
-
static const BN_ULONG ffdhe2048_p[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0x61285C97, 0x886B4238, 0xC1B2EFFA, 0xC6F34A26,
- 0x7D1683B2, 0xC58EF183, 0x2EC22005, 0x3BB5FCBC, 0x4C6FAD73, 0xC3FE3B1B,
- 0xEEF28183, 0x8E4F1232, 0xE98583FF, 0x9172FE9C, 0x28342F61, 0xC03404CD,
- 0xCDF7E2EC, 0x9E02FCE1, 0xEE0A6D70, 0x0B07A7C8, 0x6372BB19, 0xAE56EDE7,
- 0xDE394DF4, 0x1D4F42A3, 0x60D7F468, 0xB96ADAB7, 0xB2C8E3FB, 0xD108A94B,
- 0xB324FB61, 0xBC0AB182, 0x483A797A, 0x30ACCA4F, 0x36ADE735, 0x1DF158A1,
- 0xF3EFE872, 0xE2A689DA, 0xE0E68B77, 0x984F0C70, 0x7F57C935, 0xB557135E,
- 0x3DED1AF3, 0x85636555, 0x5F066ED0, 0x2433F51F, 0xD5FD6561, 0xD3DF1ED5,
- 0xAEC4617A, 0xF681B202, 0x630C75D8, 0x7D2FE363, 0x249B3EF9, 0xCC939DCE,
- 0x146433FB, 0xA9E13641, 0xCE2D3695, 0xD8B9C583, 0x273D3CF1, 0xAFDC5620,
- 0xA2BB4A9A, 0xADF85458, 0xFFFFFFFF, 0xFFFFFFFF
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x61285C97, 0x886B4238),
+ BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+ BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+ BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+ BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1),
+ BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7),
+ BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7),
+ BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182),
+ BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1),
+ BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70),
+ BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555),
+ BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5),
+ BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363),
+ BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641),
+ BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620),
+ BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG ffdhe2048_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x30942E4B, 0x4435A11C),
+ BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1),
+ BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D),
+ BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E),
+ BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70),
+ BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3),
+ BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B),
+ BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1),
+ BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50),
+ BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638),
+ BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA),
+ BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A),
+ BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1),
+ BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20),
+ BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10),
+ BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
static const BN_ULONG ffdhe3072_p[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0x66C62E37, 0x25E41D2B, 0x3FD59D7C, 0x3C1B20EE,
- 0xFA53DDEF, 0x0ABCD06B, 0xD5C4484E, 0x1DBF9A42, 0x9B0DEADA, 0xABC52197,
- 0x22363A0D, 0xE86D2BC5, 0x9C9DF69E, 0x5CAE82AB, 0x71F54BFF, 0x64F2E21E,
- 0xE2D74DD3, 0xF4FD4452, 0xBC437944, 0xB4130C93, 0x85139270, 0xAEFE1309,
- 0xC186D91C, 0x598CB0FA, 0x91F7F7EE, 0x7AD91D26, 0xD6E6C907, 0x61B46FC9,
- 0xF99C0238, 0xBC34F4DE, 0x6519035B, 0xDE355B3B, 0x611FCFDC, 0x886B4238,
- 0xC1B2EFFA, 0xC6F34A26, 0x7D1683B2, 0xC58EF183, 0x2EC22005, 0x3BB5FCBC,
- 0x4C6FAD73, 0xC3FE3B1B, 0xEEF28183, 0x8E4F1232, 0xE98583FF, 0x9172FE9C,
- 0x28342F61, 0xC03404CD, 0xCDF7E2EC, 0x9E02FCE1, 0xEE0A6D70, 0x0B07A7C8,
- 0x6372BB19, 0xAE56EDE7, 0xDE394DF4, 0x1D4F42A3, 0x60D7F468, 0xB96ADAB7,
- 0xB2C8E3FB, 0xD108A94B, 0xB324FB61, 0xBC0AB182, 0x483A797A, 0x30ACCA4F,
- 0x36ADE735, 0x1DF158A1, 0xF3EFE872, 0xE2A689DA, 0xE0E68B77, 0x984F0C70,
- 0x7F57C935, 0xB557135E, 0x3DED1AF3, 0x85636555, 0x5F066ED0, 0x2433F51F,
- 0xD5FD6561, 0xD3DF1ED5, 0xAEC4617A, 0xF681B202, 0x630C75D8, 0x7D2FE363,
- 0x249B3EF9, 0xCC939DCE, 0x146433FB, 0xA9E13641, 0xCE2D3695, 0xD8B9C583,
- 0x273D3CF1, 0xAFDC5620, 0xA2BB4A9A, 0xADF85458, 0xFFFFFFFF, 0xFFFFFFFF
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x66C62E37, 0x25E41D2B),
+ BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B),
+ BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197),
+ BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB),
+ BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452),
+ BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309),
+ BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26),
+ BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE),
+ BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238),
+ BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+ BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+ BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+ BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1),
+ BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7),
+ BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7),
+ BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182),
+ BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1),
+ BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70),
+ BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555),
+ BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5),
+ BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363),
+ BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641),
+ BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620),
+ BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG ffdhe3072_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xB363171B, 0x12F20E95),
+ BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835),
+ BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB),
+ BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155),
+ BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229),
+ BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984),
+ BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93),
+ BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F),
+ BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C),
+ BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1),
+ BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D),
+ BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E),
+ BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70),
+ BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3),
+ BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B),
+ BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1),
+ BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50),
+ BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638),
+ BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA),
+ BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A),
+ BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1),
+ BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20),
+ BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10),
+ BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
static const BN_ULONG ffdhe4096_p[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0x5E655F6A, 0xC68A007E, 0xF44182E1, 0x4DB5A851,
- 0x7F88A46B, 0x8EC9B55A, 0xCEC97DCF, 0x0A8291CD, 0xF98D0ACC, 0x2A4ECEA9,
- 0x7140003C, 0x1A1DB93D, 0x33CB8B7A, 0x092999A3, 0x71AD0038, 0x6DC778F9,
- 0x918130C4, 0xA907600A, 0x2D9E6832, 0xED6A1E01, 0xEFB4318A, 0x7135C886,
- 0x7E31CC7A, 0x87F55BA5, 0x55034004, 0x7763CF1D, 0xD69F6D18, 0xAC7D5F42,
- 0xE58857B6, 0x7930E9E4, 0x164DF4FB, 0x6E6F52C3, 0x669E1EF1, 0x25E41D2B,
- 0x3FD59D7C, 0x3C1B20EE, 0xFA53DDEF, 0x0ABCD06B, 0xD5C4484E, 0x1DBF9A42,
- 0x9B0DEADA, 0xABC52197, 0x22363A0D, 0xE86D2BC5, 0x9C9DF69E, 0x5CAE82AB,
- 0x71F54BFF, 0x64F2E21E, 0xE2D74DD3, 0xF4FD4452, 0xBC437944, 0xB4130C93,
- 0x85139270, 0xAEFE1309, 0xC186D91C, 0x598CB0FA, 0x91F7F7EE, 0x7AD91D26,
- 0xD6E6C907, 0x61B46FC9, 0xF99C0238, 0xBC34F4DE, 0x6519035B, 0xDE355B3B,
- 0x611FCFDC, 0x886B4238, 0xC1B2EFFA, 0xC6F34A26, 0x7D1683B2, 0xC58EF183,
- 0x2EC22005, 0x3BB5FCBC, 0x4C6FAD73, 0xC3FE3B1B, 0xEEF28183, 0x8E4F1232,
- 0xE98583FF, 0x9172FE9C, 0x28342F61, 0xC03404CD, 0xCDF7E2EC, 0x9E02FCE1,
- 0xEE0A6D70, 0x0B07A7C8, 0x6372BB19, 0xAE56EDE7, 0xDE394DF4, 0x1D4F42A3,
- 0x60D7F468, 0xB96ADAB7, 0xB2C8E3FB, 0xD108A94B, 0xB324FB61, 0xBC0AB182,
- 0x483A797A, 0x30ACCA4F, 0x36ADE735, 0x1DF158A1, 0xF3EFE872, 0xE2A689DA,
- 0xE0E68B77, 0x984F0C70, 0x7F57C935, 0xB557135E, 0x3DED1AF3, 0x85636555,
- 0x5F066ED0, 0x2433F51F, 0xD5FD6561, 0xD3DF1ED5, 0xAEC4617A, 0xF681B202,
- 0x630C75D8, 0x7D2FE363, 0x249B3EF9, 0xCC939DCE, 0x146433FB, 0xA9E13641,
- 0xCE2D3695, 0xD8B9C583, 0x273D3CF1, 0xAFDC5620, 0xA2BB4A9A, 0xADF85458,
- 0xFFFFFFFF, 0xFFFFFFFF
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x5E655F6A, 0xC68A007E),
+ BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A),
+ BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9),
+ BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3),
+ BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A),
+ BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886),
+ BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D),
+ BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4),
+ BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B),
+ BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B),
+ BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197),
+ BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB),
+ BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452),
+ BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309),
+ BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26),
+ BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE),
+ BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238),
+ BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+ BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+ BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+ BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1),
+ BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7),
+ BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7),
+ BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182),
+ BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1),
+ BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70),
+ BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555),
+ BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5),
+ BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363),
+ BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641),
+ BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620),
+ BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG ffdhe4096_q[] = {
+ BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x2F32AFB5, 0xE345003F),
+ BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD),
+ BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754),
+ BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1),
+ BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005),
+ BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443),
+ BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E),
+ BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2),
+ BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95),
+ BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835),
+ BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB),
+ BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155),
+ BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229),
+ BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984),
+ BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93),
+ BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F),
+ BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C),
+ BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1),
+ BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D),
+ BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E),
+ BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70),
+ BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3),
+ BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B),
+ BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1),
+ BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50),
+ BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638),
+ BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA),
+ BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A),
+ BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1),
+ BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20),
+ BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10),
+ BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
static const BN_ULONG ffdhe6144_p[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0xD0E40E65, 0xA40E329C, 0x7938DAD4, 0xA41D570D,
- 0xD43161C1, 0x62A69526, 0x9ADB1E69, 0x3FDD4A8E, 0xDC6B80D6, 0x5B3B71F9,
- 0xC6272B04, 0xEC9D1810, 0xCACEF403, 0x8CCF2DD5, 0xC95B9117, 0xE49F5235,
- 0xB854338A, 0x505DC82D, 0x1562A846, 0x62292C31, 0x6AE77F5E, 0xD72B0374,
- 0x462D538C, 0xF9C9091B, 0x47A67CBE, 0x0AE8DB58, 0x22611682, 0xB3A739C1,
- 0x2A281BF6, 0xEEAAC023, 0x77CAF992, 0x94C6651E, 0x94B2BBC1, 0x763E4E4B,
- 0x0077D9B4, 0x587E38DA, 0x183023C3, 0x7FB29F8C, 0xF9E3A26E, 0x0ABEC1FF,
- 0x350511E3, 0xA00EF092, 0xDB6340D8, 0xB855322E, 0xA9A96910, 0xA52471F7,
- 0x4CFDB477, 0x388147FB, 0x4E46041F, 0x9B1F5C3E, 0xFCCFEC71, 0xCDAD0657,
- 0x4C701C3A, 0xB38E8C33, 0xB1C0FD4C, 0x917BDD64, 0x9B7624C8, 0x3BB45432,
- 0xCAF53EA6, 0x23BA4442, 0x38532A3A, 0x4E677D2C, 0x45036C7A, 0x0BFD64B6,
- 0x5E0DD902, 0xC68A007E, 0xF44182E1, 0x4DB5A851, 0x7F88A46B, 0x8EC9B55A,
- 0xCEC97DCF, 0x0A8291CD, 0xF98D0ACC, 0x2A4ECEA9, 0x7140003C, 0x1A1DB93D,
- 0x33CB8B7A, 0x092999A3, 0x71AD0038, 0x6DC778F9, 0x918130C4, 0xA907600A,
- 0x2D9E6832, 0xED6A1E01, 0xEFB4318A, 0x7135C886, 0x7E31CC7A, 0x87F55BA5,
- 0x55034004, 0x7763CF1D, 0xD69F6D18, 0xAC7D5F42, 0xE58857B6, 0x7930E9E4,
- 0x164DF4FB, 0x6E6F52C3, 0x669E1EF1, 0x25E41D2B, 0x3FD59D7C, 0x3C1B20EE,
- 0xFA53DDEF, 0x0ABCD06B, 0xD5C4484E, 0x1DBF9A42, 0x9B0DEADA, 0xABC52197,
- 0x22363A0D, 0xE86D2BC5, 0x9C9DF69E, 0x5CAE82AB, 0x71F54BFF, 0x64F2E21E,
- 0xE2D74DD3, 0xF4FD4452, 0xBC437944, 0xB4130C93, 0x85139270, 0xAEFE1309,
- 0xC186D91C, 0x598CB0FA, 0x91F7F7EE, 0x7AD91D26, 0xD6E6C907, 0x61B46FC9,
- 0xF99C0238, 0xBC34F4DE, 0x6519035B, 0xDE355B3B, 0x611FCFDC, 0x886B4238,
- 0xC1B2EFFA, 0xC6F34A26, 0x7D1683B2, 0xC58EF183, 0x2EC22005, 0x3BB5FCBC,
- 0x4C6FAD73, 0xC3FE3B1B, 0xEEF28183, 0x8E4F1232, 0xE98583FF, 0x9172FE9C,
- 0x28342F61, 0xC03404CD, 0xCDF7E2EC, 0x9E02FCE1, 0xEE0A6D70, 0x0B07A7C8,
- 0x6372BB19, 0xAE56EDE7, 0xDE394DF4, 0x1D4F42A3, 0x60D7F468, 0xB96ADAB7,
- 0xB2C8E3FB, 0xD108A94B, 0xB324FB61, 0xBC0AB182, 0x483A797A, 0x30ACCA4F,
- 0x36ADE735, 0x1DF158A1, 0xF3EFE872, 0xE2A689DA, 0xE0E68B77, 0x984F0C70,
- 0x7F57C935, 0xB557135E, 0x3DED1AF3, 0x85636555, 0x5F066ED0, 0x2433F51F,
- 0xD5FD6561, 0xD3DF1ED5, 0xAEC4617A, 0xF681B202, 0x630C75D8, 0x7D2FE363,
- 0x249B3EF9, 0xCC939DCE, 0x146433FB, 0xA9E13641, 0xCE2D3695, 0xD8B9C583,
- 0x273D3CF1, 0xAFDC5620, 0xA2BB4A9A, 0xADF85458, 0xFFFFFFFF, 0xFFFFFFFF
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xD0E40E65, 0xA40E329C),
+ BN_DEF(0x7938DAD4, 0xA41D570D), BN_DEF(0xD43161C1, 0x62A69526),
+ BN_DEF(0x9ADB1E69, 0x3FDD4A8E), BN_DEF(0xDC6B80D6, 0x5B3B71F9),
+ BN_DEF(0xC6272B04, 0xEC9D1810), BN_DEF(0xCACEF403, 0x8CCF2DD5),
+ BN_DEF(0xC95B9117, 0xE49F5235), BN_DEF(0xB854338A, 0x505DC82D),
+ BN_DEF(0x1562A846, 0x62292C31), BN_DEF(0x6AE77F5E, 0xD72B0374),
+ BN_DEF(0x462D538C, 0xF9C9091B), BN_DEF(0x47A67CBE, 0x0AE8DB58),
+ BN_DEF(0x22611682, 0xB3A739C1), BN_DEF(0x2A281BF6, 0xEEAAC023),
+ BN_DEF(0x77CAF992, 0x94C6651E), BN_DEF(0x94B2BBC1, 0x763E4E4B),
+ BN_DEF(0x0077D9B4, 0x587E38DA), BN_DEF(0x183023C3, 0x7FB29F8C),
+ BN_DEF(0xF9E3A26E, 0x0ABEC1FF), BN_DEF(0x350511E3, 0xA00EF092),
+ BN_DEF(0xDB6340D8, 0xB855322E), BN_DEF(0xA9A96910, 0xA52471F7),
+ BN_DEF(0x4CFDB477, 0x388147FB), BN_DEF(0x4E46041F, 0x9B1F5C3E),
+ BN_DEF(0xFCCFEC71, 0xCDAD0657), BN_DEF(0x4C701C3A, 0xB38E8C33),
+ BN_DEF(0xB1C0FD4C, 0x917BDD64), BN_DEF(0x9B7624C8, 0x3BB45432),
+ BN_DEF(0xCAF53EA6, 0x23BA4442), BN_DEF(0x38532A3A, 0x4E677D2C),
+ BN_DEF(0x45036C7A, 0x0BFD64B6), BN_DEF(0x5E0DD902, 0xC68A007E),
+ BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A),
+ BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9),
+ BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3),
+ BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A),
+ BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886),
+ BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D),
+ BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4),
+ BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B),
+ BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B),
+ BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197),
+ BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB),
+ BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452),
+ BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309),
+ BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26),
+ BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE),
+ BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238),
+ BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+ BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+ BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+ BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1),
+ BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7),
+ BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7),
+ BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182),
+ BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1),
+ BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70),
+ BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555),
+ BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5),
+ BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363),
+ BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641),
+ BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620),
+ BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG ffdhe6144_q[] = {
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x68720732, 0x5207194E),
+ BN_DEF(0xBC9C6D6A, 0xD20EAB86), BN_DEF(0x6A18B0E0, 0xB1534A93),
+ BN_DEF(0x4D6D8F34, 0x1FEEA547), BN_DEF(0xEE35C06B, 0x2D9DB8FC),
+ BN_DEF(0x63139582, 0xF64E8C08), BN_DEF(0xE5677A01, 0xC66796EA),
+ BN_DEF(0xE4ADC88B, 0x724FA91A), BN_DEF(0xDC2A19C5, 0x282EE416),
+ BN_DEF(0x8AB15423, 0x31149618), BN_DEF(0x3573BFAF, 0x6B9581BA),
+ BN_DEF(0xA316A9C6, 0x7CE4848D), BN_DEF(0x23D33E5F, 0x05746DAC),
+ BN_DEF(0x91308B41, 0x59D39CE0), BN_DEF(0x95140DFB, 0x77556011),
+ BN_DEF(0x3BE57CC9, 0xCA63328F), BN_DEF(0xCA595DE0, 0x3B1F2725),
+ BN_DEF(0x003BECDA, 0xAC3F1C6D), BN_DEF(0x0C1811E1, 0x3FD94FC6),
+ BN_DEF(0xFCF1D137, 0x855F60FF), BN_DEF(0x1A8288F1, 0x50077849),
+ BN_DEF(0x6DB1A06C, 0x5C2A9917), BN_DEF(0xD4D4B488, 0xD29238FB),
+ BN_DEF(0xA67EDA3B, 0x9C40A3FD), BN_DEF(0x2723020F, 0xCD8FAE1F),
+ BN_DEF(0xFE67F638, 0x66D6832B), BN_DEF(0xA6380E1D, 0x59C74619),
+ BN_DEF(0x58E07EA6, 0x48BDEEB2), BN_DEF(0x4DBB1264, 0x1DDA2A19),
+ BN_DEF(0x657A9F53, 0x11DD2221), BN_DEF(0x1C29951D, 0x2733BE96),
+ BN_DEF(0x2281B63D, 0x05FEB25B), BN_DEF(0x2F06EC81, 0xE345003F),
+ BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD),
+ BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754),
+ BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1),
+ BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005),
+ BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443),
+ BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E),
+ BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2),
+ BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95),
+ BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835),
+ BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB),
+ BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155),
+ BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229),
+ BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984),
+ BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93),
+ BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F),
+ BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C),
+ BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1),
+ BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D),
+ BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E),
+ BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70),
+ BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3),
+ BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B),
+ BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1),
+ BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50),
+ BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638),
+ BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA),
+ BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A),
+ BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1),
+ BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20),
+ BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10),
+ BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
static const BN_ULONG ffdhe8192_p[] = {
- 0xFFFFFFFF, 0xFFFFFFFF, 0xC5C6424C, 0xD68C8BB7, 0x838FF88C, 0x011E2A94,
- 0xA9F4614E, 0x0822E506, 0xF7A8443D, 0x97D11D49, 0x30677F0D, 0xA6BBFDE5,
- 0xC1FE86FE, 0x2F741EF8, 0x5D71A87E, 0xFAFABE1C, 0xFBE58A30, 0xDED2FBAB,
- 0x72B0A66E, 0xB6855DFE, 0xBA8A4FE8, 0x1EFC8CE0, 0x3F2FA457, 0x83F81D4A,
- 0xA577E231, 0xA1FE3075, 0x88D9C0A0, 0xD5B80194, 0xAD9A95F9, 0x624816CD,
- 0x50C1217B, 0x99E9E316, 0x0E423CFC, 0x51AA691E, 0x3826E52C, 0x1C217E6C,
- 0x09703FEE, 0x51A8A931, 0x6A460E74, 0xBB709987, 0x9C86B022, 0x541FC68C,
- 0x46FD8251, 0x59160CC0, 0x35C35F5C, 0x2846C0BA, 0x8B758282, 0x54504AC7,
- 0xD2AF05E4, 0x29388839, 0xC01BD702, 0xCB2C0F1C, 0x7C932665, 0x555B2F74,
- 0xA3AB8829, 0x86B63142, 0xF64B10EF, 0x0B8CC3BD, 0xEDD1CC5E, 0x687FEB69,
- 0xC9509D43, 0xFDB23FCE, 0xD951AE64, 0x1E425A31, 0xF600C838, 0x36AD004C,
- 0xCFF46AAA, 0xA40E329C, 0x7938DAD4, 0xA41D570D, 0xD43161C1, 0x62A69526,
- 0x9ADB1E69, 0x3FDD4A8E, 0xDC6B80D6, 0x5B3B71F9, 0xC6272B04, 0xEC9D1810,
- 0xCACEF403, 0x8CCF2DD5, 0xC95B9117, 0xE49F5235, 0xB854338A, 0x505DC82D,
- 0x1562A846, 0x62292C31, 0x6AE77F5E, 0xD72B0374, 0x462D538C, 0xF9C9091B,
- 0x47A67CBE, 0x0AE8DB58, 0x22611682, 0xB3A739C1, 0x2A281BF6, 0xEEAAC023,
- 0x77CAF992, 0x94C6651E, 0x94B2BBC1, 0x763E4E4B, 0x0077D9B4, 0x587E38DA,
- 0x183023C3, 0x7FB29F8C, 0xF9E3A26E, 0x0ABEC1FF, 0x350511E3, 0xA00EF092,
- 0xDB6340D8, 0xB855322E, 0xA9A96910, 0xA52471F7, 0x4CFDB477, 0x388147FB,
- 0x4E46041F, 0x9B1F5C3E, 0xFCCFEC71, 0xCDAD0657, 0x4C701C3A, 0xB38E8C33,
- 0xB1C0FD4C, 0x917BDD64, 0x9B7624C8, 0x3BB45432, 0xCAF53EA6, 0x23BA4442,
- 0x38532A3A, 0x4E677D2C, 0x45036C7A, 0x0BFD64B6, 0x5E0DD902, 0xC68A007E,
- 0xF44182E1, 0x4DB5A851, 0x7F88A46B, 0x8EC9B55A, 0xCEC97DCF, 0x0A8291CD,
- 0xF98D0ACC, 0x2A4ECEA9, 0x7140003C, 0x1A1DB93D, 0x33CB8B7A, 0x092999A3,
- 0x71AD0038, 0x6DC778F9, 0x918130C4, 0xA907600A, 0x2D9E6832, 0xED6A1E01,
- 0xEFB4318A, 0x7135C886, 0x7E31CC7A, 0x87F55BA5, 0x55034004, 0x7763CF1D,
- 0xD69F6D18, 0xAC7D5F42, 0xE58857B6, 0x7930E9E4, 0x164DF4FB, 0x6E6F52C3,
- 0x669E1EF1, 0x25E41D2B, 0x3FD59D7C, 0x3C1B20EE, 0xFA53DDEF, 0x0ABCD06B,
- 0xD5C4484E, 0x1DBF9A42, 0x9B0DEADA, 0xABC52197, 0x22363A0D, 0xE86D2BC5,
- 0x9C9DF69E, 0x5CAE82AB, 0x71F54BFF, 0x64F2E21E, 0xE2D74DD3, 0xF4FD4452,
- 0xBC437944, 0xB4130C93, 0x85139270, 0xAEFE1309, 0xC186D91C, 0x598CB0FA,
- 0x91F7F7EE, 0x7AD91D26, 0xD6E6C907, 0x61B46FC9, 0xF99C0238, 0xBC34F4DE,
- 0x6519035B, 0xDE355B3B, 0x611FCFDC, 0x886B4238, 0xC1B2EFFA, 0xC6F34A26,
- 0x7D1683B2, 0xC58EF183, 0x2EC22005, 0x3BB5FCBC, 0x4C6FAD73, 0xC3FE3B1B,
- 0xEEF28183, 0x8E4F1232, 0xE98583FF, 0x9172FE9C, 0x28342F61, 0xC03404CD,
- 0xCDF7E2EC, 0x9E02FCE1, 0xEE0A6D70, 0x0B07A7C8, 0x6372BB19, 0xAE56EDE7,
- 0xDE394DF4, 0x1D4F42A3, 0x60D7F468, 0xB96ADAB7, 0xB2C8E3FB, 0xD108A94B,
- 0xB324FB61, 0xBC0AB182, 0x483A797A, 0x30ACCA4F, 0x36ADE735, 0x1DF158A1,
- 0xF3EFE872, 0xE2A689DA, 0xE0E68B77, 0x984F0C70, 0x7F57C935, 0xB557135E,
- 0x3DED1AF3, 0x85636555, 0x5F066ED0, 0x2433F51F, 0xD5FD6561, 0xD3DF1ED5,
- 0xAEC4617A, 0xF681B202, 0x630C75D8, 0x7D2FE363, 0x249B3EF9, 0xCC939DCE,
- 0x146433FB, 0xA9E13641, 0xCE2D3695, 0xD8B9C583, 0x273D3CF1, 0xAFDC5620,
- 0xA2BB4A9A, 0xADF85458, 0xFFFFFFFF, 0xFFFFFFFF
+ BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xC5C6424C, 0xD68C8BB7),
+ BN_DEF(0x838FF88C, 0x011E2A94), BN_DEF(0xA9F4614E, 0x0822E506),
+ BN_DEF(0xF7A8443D, 0x97D11D49), BN_DEF(0x30677F0D, 0xA6BBFDE5),
+ BN_DEF(0xC1FE86FE, 0x2F741EF8), BN_DEF(0x5D71A87E, 0xFAFABE1C),
+ BN_DEF(0xFBE58A30, 0xDED2FBAB), BN_DEF(0x72B0A66E, 0xB6855DFE),
+ BN_DEF(0xBA8A4FE8, 0x1EFC8CE0), BN_DEF(0x3F2FA457, 0x83F81D4A),
+ BN_DEF(0xA577E231, 0xA1FE3075), BN_DEF(0x88D9C0A0, 0xD5B80194),
+ BN_DEF(0xAD9A95F9, 0x624816CD), BN_DEF(0x50C1217B, 0x99E9E316),
+ BN_DEF(0x0E423CFC, 0x51AA691E), BN_DEF(0x3826E52C, 0x1C217E6C),
+ BN_DEF(0x09703FEE, 0x51A8A931), BN_DEF(0x6A460E74, 0xBB709987),
+ BN_DEF(0x9C86B022, 0x541FC68C), BN_DEF(0x46FD8251, 0x59160CC0),
+ BN_DEF(0x35C35F5C, 0x2846C0BA), BN_DEF(0x8B758282, 0x54504AC7),
+ BN_DEF(0xD2AF05E4, 0x29388839), BN_DEF(0xC01BD702, 0xCB2C0F1C),
+ BN_DEF(0x7C932665, 0x555B2F74), BN_DEF(0xA3AB8829, 0x86B63142),
+ BN_DEF(0xF64B10EF, 0x0B8CC3BD), BN_DEF(0xEDD1CC5E, 0x687FEB69),
+ BN_DEF(0xC9509D43, 0xFDB23FCE), BN_DEF(0xD951AE64, 0x1E425A31),
+ BN_DEF(0xF600C838, 0x36AD004C), BN_DEF(0xCFF46AAA, 0xA40E329C),
+ BN_DEF(0x7938DAD4, 0xA41D570D), BN_DEF(0xD43161C1, 0x62A69526),
+ BN_DEF(0x9ADB1E69, 0x3FDD4A8E), BN_DEF(0xDC6B80D6, 0x5B3B71F9),
+ BN_DEF(0xC6272B04, 0xEC9D1810), BN_DEF(0xCACEF403, 0x8CCF2DD5),
+ BN_DEF(0xC95B9117, 0xE49F5235), BN_DEF(0xB854338A, 0x505DC82D),
+ BN_DEF(0x1562A846, 0x62292C31), BN_DEF(0x6AE77F5E, 0xD72B0374),
+ BN_DEF(0x462D538C, 0xF9C9091B), BN_DEF(0x47A67CBE, 0x0AE8DB58),
+ BN_DEF(0x22611682, 0xB3A739C1), BN_DEF(0x2A281BF6, 0xEEAAC023),
+ BN_DEF(0x77CAF992, 0x94C6651E), BN_DEF(0x94B2BBC1, 0x763E4E4B),
+ BN_DEF(0x0077D9B4, 0x587E38DA), BN_DEF(0x183023C3, 0x7FB29F8C),
+ BN_DEF(0xF9E3A26E, 0x0ABEC1FF), BN_DEF(0x350511E3, 0xA00EF092),
+ BN_DEF(0xDB6340D8, 0xB855322E), BN_DEF(0xA9A96910, 0xA52471F7),
+ BN_DEF(0x4CFDB477, 0x388147FB), BN_DEF(0x4E46041F, 0x9B1F5C3E),
+ BN_DEF(0xFCCFEC71, 0xCDAD0657), BN_DEF(0x4C701C3A, 0xB38E8C33),
+ BN_DEF(0xB1C0FD4C, 0x917BDD64), BN_DEF(0x9B7624C8, 0x3BB45432),
+ BN_DEF(0xCAF53EA6, 0x23BA4442), BN_DEF(0x38532A3A, 0x4E677D2C),
+ BN_DEF(0x45036C7A, 0x0BFD64B6), BN_DEF(0x5E0DD902, 0xC68A007E),
+ BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A),
+ BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9),
+ BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3),
+ BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A),
+ BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886),
+ BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D),
+ BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4),
+ BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B),
+ BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B),
+ BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197),
+ BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB),
+ BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452),
+ BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309),
+ BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26),
+ BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE),
+ BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238),
+ BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+ BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+ BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+ BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1),
+ BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7),
+ BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7),
+ BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182),
+ BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1),
+ BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70),
+ BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555),
+ BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5),
+ BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363),
+ BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641),
+ BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620),
+ BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
+};
+/* q = (p - 1) / 2 */
+static const BN_ULONG ffdhe8192_q[] = {
+ BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0xE2E32126, 0x6B4645DB),
+ BN_DEF(0x41C7FC46, 0x008F154A), BN_DEF(0x54FA30A7, 0x84117283),
+ BN_DEF(0xFBD4221E, 0xCBE88EA4), BN_DEF(0x9833BF86, 0x535DFEF2),
+ BN_DEF(0x60FF437F, 0x17BA0F7C), BN_DEF(0x2EB8D43F, 0x7D7D5F0E),
+ BN_DEF(0xFDF2C518, 0x6F697DD5), BN_DEF(0x39585337, 0x5B42AEFF),
+ BN_DEF(0x5D4527F4, 0x8F7E4670), BN_DEF(0x1F97D22B, 0xC1FC0EA5),
+ BN_DEF(0xD2BBF118, 0x50FF183A), BN_DEF(0x446CE050, 0xEADC00CA),
+ BN_DEF(0xD6CD4AFC, 0xB1240B66), BN_DEF(0x286090BD, 0x4CF4F18B),
+ BN_DEF(0x07211E7E, 0x28D5348F), BN_DEF(0x1C137296, 0x0E10BF36),
+ BN_DEF(0x84B81FF7, 0x28D45498), BN_DEF(0xB523073A, 0x5DB84CC3),
+ BN_DEF(0x4E435811, 0xAA0FE346), BN_DEF(0x237EC128, 0x2C8B0660),
+ BN_DEF(0x1AE1AFAE, 0x1423605D), BN_DEF(0xC5BAC141, 0x2A282563),
+ BN_DEF(0xE95782F2, 0x149C441C), BN_DEF(0x600DEB81, 0xE596078E),
+ BN_DEF(0x3E499332, 0xAAAD97BA), BN_DEF(0x51D5C414, 0xC35B18A1),
+ BN_DEF(0xFB258877, 0x05C661DE), BN_DEF(0xF6E8E62F, 0xB43FF5B4),
+ BN_DEF(0x64A84EA1, 0x7ED91FE7), BN_DEF(0xECA8D732, 0x0F212D18),
+ BN_DEF(0x7B00641C, 0x1B568026), BN_DEF(0x67FA3555, 0x5207194E),
+ BN_DEF(0xBC9C6D6A, 0xD20EAB86), BN_DEF(0x6A18B0E0, 0xB1534A93),
+ BN_DEF(0x4D6D8F34, 0x1FEEA547), BN_DEF(0xEE35C06B, 0x2D9DB8FC),
+ BN_DEF(0x63139582, 0xF64E8C08), BN_DEF(0xE5677A01, 0xC66796EA),
+ BN_DEF(0xE4ADC88B, 0x724FA91A), BN_DEF(0xDC2A19C5, 0x282EE416),
+ BN_DEF(0x8AB15423, 0x31149618), BN_DEF(0x3573BFAF, 0x6B9581BA),
+ BN_DEF(0xA316A9C6, 0x7CE4848D), BN_DEF(0x23D33E5F, 0x05746DAC),
+ BN_DEF(0x91308B41, 0x59D39CE0), BN_DEF(0x95140DFB, 0x77556011),
+ BN_DEF(0x3BE57CC9, 0xCA63328F), BN_DEF(0xCA595DE0, 0x3B1F2725),
+ BN_DEF(0x003BECDA, 0xAC3F1C6D), BN_DEF(0x0C1811E1, 0x3FD94FC6),
+ BN_DEF(0xFCF1D137, 0x855F60FF), BN_DEF(0x1A8288F1, 0x50077849),
+ BN_DEF(0x6DB1A06C, 0x5C2A9917), BN_DEF(0xD4D4B488, 0xD29238FB),
+ BN_DEF(0xA67EDA3B, 0x9C40A3FD), BN_DEF(0x2723020F, 0xCD8FAE1F),
+ BN_DEF(0xFE67F638, 0x66D6832B), BN_DEF(0xA6380E1D, 0x59C74619),
+ BN_DEF(0x58E07EA6, 0x48BDEEB2), BN_DEF(0x4DBB1264, 0x1DDA2A19),
+ BN_DEF(0x657A9F53, 0x11DD2221), BN_DEF(0x1C29951D, 0x2733BE96),
+ BN_DEF(0x2281B63D, 0x05FEB25B), BN_DEF(0x2F06EC81, 0xE345003F),
+ BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD),
+ BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754),
+ BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1),
+ BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005),
+ BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443),
+ BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E),
+ BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2),
+ BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95),
+ BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835),
+ BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB),
+ BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155),
+ BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229),
+ BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984),
+ BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93),
+ BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F),
+ BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C),
+ BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1),
+ BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D),
+ BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E),
+ BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70),
+ BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3),
+ BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B),
+ BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1),
+ BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50),
+ BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638),
+ BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA),
+ BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A),
+ BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1),
+ BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20),
+ BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10),
+ BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF),
};
-# else
-# error "unsupported BN_BITS2"
-# endif
-
/* Macro to make a BIGNUM from static data */
# define make_dh_bn(x) extern const BIGNUM _bignum_##x; \
@@ -489,24 +1010,42 @@ static const BN_ULONG ffdhe8192_p[] = {
static const BN_ULONG value_2 = 2;
-const BIGNUM _bignum_const_2 =
- { (BN_ULONG *)&value_2, 1, 1, 0, BN_FLG_STATIC_DATA };
+const BIGNUM _bignum_const_2 = {
+ (BN_ULONG *)&value_2, 1, 1, 0, BN_FLG_STATIC_DATA
+};
make_dh_bn(dh1024_160_p)
-make_dh_bn(dh1024_160_g)
make_dh_bn(dh1024_160_q)
+make_dh_bn(dh1024_160_g)
make_dh_bn(dh2048_224_p)
-make_dh_bn(dh2048_224_g)
make_dh_bn(dh2048_224_q)
+make_dh_bn(dh2048_224_g)
make_dh_bn(dh2048_256_p)
-make_dh_bn(dh2048_256_g)
make_dh_bn(dh2048_256_q)
+make_dh_bn(dh2048_256_g)
make_dh_bn(ffdhe2048_p)
+make_dh_bn(ffdhe2048_q)
make_dh_bn(ffdhe3072_p)
+make_dh_bn(ffdhe3072_q)
make_dh_bn(ffdhe4096_p)
+make_dh_bn(ffdhe4096_q)
make_dh_bn(ffdhe6144_p)
+make_dh_bn(ffdhe6144_q)
make_dh_bn(ffdhe8192_p)
+make_dh_bn(ffdhe8192_q)
+make_dh_bn(modp_1536_p)
+make_dh_bn(modp_1536_q)
+make_dh_bn(modp_2048_p)
+make_dh_bn(modp_2048_q)
+make_dh_bn(modp_3072_p)
+make_dh_bn(modp_3072_q)
+make_dh_bn(modp_4096_p)
+make_dh_bn(modp_4096_q)
+make_dh_bn(modp_6144_p)
+make_dh_bn(modp_6144_q)
+make_dh_bn(modp_8192_p)
+make_dh_bn(modp_8192_q)
-#endif
+#endif /* OPENSSL_NO_DH */
Index: openssl-1.1.1m/crypto/dh/dh_check.c
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_check.c
+++ openssl-1.1.1m/crypto/dh/dh_check.c
@@ -10,6 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
+#include <openssl/obj_mac.h>
#include "dh_local.h"
# define DH_NUMBER_ITERATIONS_FOR_PRIME 64
@@ -41,6 +42,12 @@ int DH_check_params(const DH *dh, int *r
BIGNUM *tmp = NULL;
BN_CTX *ctx = NULL;
+ if (FIPS_mode()) {
+ int nid = dh->nid == NID_undef ? DH_get_nid(dh) : dh->nid;
+
+ return nid != NID_undef;
+ }
+
*ret = 0;
ctx = BN_CTX_new();
if (ctx == NULL)
@@ -95,6 +102,7 @@ int DH_check_ex(const DH *dh)
return errflags == 0;
}
+/* Note: according to documentation - this only checks the params */
int DH_check(const DH *dh, int *ret)
{
int ok = 0, r;
@@ -104,6 +112,9 @@ int DH_check(const DH *dh, int *ret)
if (!DH_check_params(dh, ret))
return 0;
+ if (FIPS_mode()) /* we allow only well-known params */
+ return 1;
+
ctx = BN_CTX_new();
if (ctx == NULL)
goto err;
@@ -177,7 +188,7 @@ int DH_check_pub_key_ex(const DH *dh, co
return errflags == 0;
}
-int DH_check_pub_key(const DH *dh, const BIGNUM *pub_key, int *ret)
+static int dh_check_pub_key_int(const DH *dh, const BIGNUM *q, const BIGNUM *pub_key, int *ret)
{
int ok = 0;
BIGNUM *tmp = NULL;
@@ -187,28 +198,68 @@ int DH_check_pub_key(const DH *dh, const
ctx = BN_CTX_new();
if (ctx == NULL)
goto err;
+
BN_CTX_start(ctx);
tmp = BN_CTX_get(ctx);
+ /* Step(1): Verify pub_key >= 2 */
if (tmp == NULL || !BN_set_word(tmp, 1))
goto err;
- if (BN_cmp(pub_key, tmp) <= 0)
+ if (BN_cmp(pub_key, tmp) <= 0) {
*ret |= DH_CHECK_PUBKEY_TOO_SMALL;
+ goto err;
+ }
+ /* Step(1): Verify pub_key <= p-2 */
if (BN_copy(tmp, dh->p) == NULL || !BN_sub_word(tmp, 1))
goto err;
- if (BN_cmp(pub_key, tmp) >= 0)
+ if (BN_cmp(pub_key, tmp) >= 0) {
*ret |= DH_CHECK_PUBKEY_TOO_LARGE;
+ goto err;
+ }
+
+ if (q != NULL) {
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ goto err;
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
- if (dh->q != NULL) {
/* Check pub_key^q == 1 mod p */
- if (!BN_mod_exp(tmp, pub_key, dh->q, dh->p, ctx))
+ if (tmp == NULL || !BN_mod_exp(tmp, pub_key, q, dh->p, ctx))
goto err;
- if (!BN_is_one(tmp))
+ if (!BN_is_one(tmp)) {
*ret |= DH_CHECK_PUBKEY_INVALID;
+ goto err;
+ }
}
ok = 1;
err:
- BN_CTX_end(ctx);
- BN_CTX_free(ctx);
+ if (ctx != NULL) {
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+ }
return ok;
}
+
+/*
+ * See SP800-56Ar3 Section 5.6.2.3.1 : FFC Full public key validation.
+ */
+int DH_check_pub_key(const DH *dh, const BIGNUM *pub_key, int *ret)
+{
+ return dh_check_pub_key_int(dh, dh->q, pub_key, ret);
+}
+
+int dh_check_pub_key_full(const DH *dh, const BIGNUM *pub_key, int *ret)
+{
+ BIGNUM *q = dh->q;
+
+ if (q == NULL) {
+ if (dh_get_known_q(dh, &q) == 0) {
+ *ret |= DH_CHECK_INVALID_Q_VALUE;
+ return 0;
+ }
+ }
+
+ return dh_check_pub_key_int(dh, q, pub_key, ret);
+}
+
Index: openssl-1.1.1m/crypto/dh/dh_gen.c
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_gen.c
+++ openssl-1.1.1m/crypto/dh/dh_gen.c
@@ -27,8 +27,7 @@ int DH_generate_parameters_ex(DH *ret, i
BN_GENCB *cb)
{
#ifdef OPENSSL_FIPS
- if (FIPS_mode() && !(ret->meth->flags & DH_FLAG_FIPS_METHOD)
- && !(ret->flags & DH_FLAG_NON_FIPS_ALLOW)) {
+ if (FIPS_mode()) {
DHerr(DH_F_DH_GENERATE_PARAMETERS_EX, DH_R_NON_FIPS_METHOD);
return 0;
}
@@ -75,18 +74,6 @@ static int dh_builtin_genparams(DH *ret,
int g, ok = -1;
BN_CTX *ctx = NULL;
-#ifdef OPENSSL_FIPS
- if (FIPS_selftest_failed()) {
- FIPSerr(FIPS_F_DH_BUILTIN_GENPARAMS, FIPS_R_FIPS_SELFTEST_FAILED);
- return 0;
- }
-
- if (FIPS_mode() && (prime_len < OPENSSL_DH_FIPS_MIN_MODULUS_BITS_GEN)) {
- DHerr(DH_F_DH_BUILTIN_GENPARAMS, DH_R_KEY_SIZE_TOO_SMALL);
- goto err;
- }
-#endif
-
ctx = BN_CTX_new();
if (ctx == NULL)
goto err;
Index: openssl-1.1.1m/crypto/dh/dh_key.c
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_key.c
+++ openssl-1.1.1m/crypto/dh/dh_key.c
@@ -128,10 +128,18 @@ static int generate_key(DH *dh)
BIGNUM *pub_key = NULL, *priv_key = NULL;
#ifdef OPENSSL_FIPS
- if (FIPS_mode()
- && (BN_num_bits(dh->p) < OPENSSL_DH_FIPS_MIN_MODULUS_BITS)) {
- DHerr(DH_F_GENERATE_KEY, DH_R_KEY_SIZE_TOO_SMALL);
- return 0;
+ if (FIPS_mode()) {
+ if (BN_num_bits(dh->p) < OPENSSL_DH_FIPS_MIN_MODULUS_BITS) {
+ DHerr(DH_F_GENERATE_KEY, DH_R_KEY_SIZE_TOO_SMALL);
+ return 0;
+ }
+ if (dh->nid == NID_undef)
+ dh_cache_nid(dh);
+ if (dh->nid == NID_undef || dh->length > BN_num_bits(dh->p) - 2
+ || dh->length < 224) {
+ DHerr(DH_F_GENERATE_KEY, DH_R_NON_FIPS_METHOD);
+ return 0;
+ }
}
#endif
@@ -167,7 +175,15 @@ static int generate_key(DH *dh)
}
if (generate_new_key) {
- if (dh->q) {
+ if (FIPS_mode()) {
+ do {
+ if (!BN_priv_rand(priv_key, dh->length, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY))
+ goto err;
+ if (!BN_add_word(priv_key, 1))
+ goto err;
+ }
+ while (BN_num_bits(priv_key) > dh->length);
+ } else if (dh->q) {
do {
if (!BN_priv_rand_range(priv_key, dh->q))
goto err;
@@ -203,6 +219,15 @@ static int generate_key(DH *dh)
}
/* We MUST free prk before any further use of priv_key */
BN_clear_free(prk);
+
+ if (FIPS_mode()) {
+ int check_result;
+
+ if (!dh_check_pub_key_full(dh, pub_key, &check_result) || check_result) {
+ DHerr(DH_F_GENERATE_KEY, DH_R_INVALID_PUBKEY);
+ goto err;
+ }
+ }
}
dh->pub_key = pub_key;
@@ -225,6 +250,7 @@ static int compute_key(unsigned char *ke
BN_CTX *ctx = NULL;
BN_MONT_CTX *mont = NULL;
BIGNUM *tmp;
+ BIGNUM *p1;
int ret = -1;
int check_result;
@@ -271,6 +297,18 @@ static int compute_key(unsigned char *ke
DHerr(DH_F_COMPUTE_KEY, ERR_R_BN_LIB);
goto err;
}
+
+ if (BN_is_zero(tmp) || BN_is_one(tmp) || BN_is_negative(tmp)) {
+ DHerr(DH_F_COMPUTE_KEY, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if ((p1 = BN_CTX_get(ctx)) == NULL
+ || !BN_sub(p1, dh->p, BN_value_one())
+ || BN_cmp(p1, tmp) <= 0) {
+ DHerr(DH_F_COMPUTE_KEY, ERR_R_BN_LIB);
+ goto err;
+ }
ret = BN_bn2binpad(tmp, key, BN_num_bytes(dh->p));
err:
Index: openssl-1.1.1m/crypto/dh/dh_lib.c
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_lib.c
+++ openssl-1.1.1m/crypto/dh/dh_lib.c
@@ -8,6 +8,7 @@
*/
#include <stdio.h>
+#include <openssl/objects.h>
#include "internal/cryptlib.h"
#include "internal/refcount.h"
#include <openssl/bn.h>
@@ -86,6 +87,8 @@ DH *DH_new_method(ENGINE *engine)
goto err;
}
+ ret->nid = NID_undef;
+
return ret;
err:
@@ -205,7 +208,10 @@ int DH_set0_pqg(DH *dh, BIGNUM *p, BIGNU
dh->g = g;
}
- if (q != NULL) {
+ dh->nid = NID_undef;
+ dh_cache_nid(dh);
+
+ if (q != NULL && dh->nid == NID_undef) {
dh->length = BN_num_bits(q);
}
Index: openssl-1.1.1m/crypto/dh/dh_local.h
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_local.h
+++ openssl-1.1.1m/crypto/dh/dh_local.h
@@ -35,6 +35,7 @@ struct dh_st {
const DH_METHOD *meth;
ENGINE *engine;
CRYPTO_RWLOCK *lock;
+ int nid;
};
struct dh_method {
@@ -55,3 +56,12 @@ struct dh_method {
int (*generate_params) (DH *dh, int prime_len, int generator,
BN_GENCB *cb);
};
+
+void dh_cache_nid(DH *dh);
+
+/* Obtain known q value based on nid or p */
+int dh_get_known_q(const DH *dh, BIGNUM **q);
+
+/* FIPS mode only check which requires nid set and looks up q based on it. */
+int dh_check_pub_key_full(const DH *dh, const BIGNUM *pub_key, int *ret);
+
Index: openssl-1.1.1m/crypto/dh/dh_rfc7919.c
===================================================================
--- openssl-1.1.1m.orig/crypto/dh/dh_rfc7919.c
+++ openssl-1.1.1m/crypto/dh/dh_rfc7919.c
@@ -7,6 +7,8 @@
* https://www.openssl.org/source/license.html
*/
+/* DH parameters from RFC7919 and RFC3526 */
+
#include <stdio.h>
#include "internal/cryptlib.h"
#include "dh_local.h"
@@ -14,14 +16,19 @@
#include <openssl/objects.h>
#include "crypto/bn_dh.h"
-static DH *dh_param_init(const BIGNUM *p, int32_t nbits)
+static DH *dh_param_init(int nid, const BIGNUM *p, const BIGNUM *q, int32_t nbits)
{
DH *dh = DH_new();
if (dh == NULL)
return NULL;
dh->p = (BIGNUM *)p;
+ /*
+ * We do not set q as it would enable the inefficient and
+ * unnecessary pubkey modular exponentiation check.
+ */
dh->g = (BIGNUM *)&_bignum_const_2;
dh->length = nbits;
+ dh->nid = nid;
return dh;
}
@@ -29,46 +36,121 @@ DH *DH_new_by_nid(int nid)
{
switch (nid) {
case NID_ffdhe2048:
- return dh_param_init(&_bignum_ffdhe2048_p, 225);
+ return dh_param_init(nid, &_bignum_ffdhe2048_p, &_bignum_ffdhe2048_q, 225);
case NID_ffdhe3072:
- return dh_param_init(&_bignum_ffdhe3072_p, 275);
+ return dh_param_init(nid, &_bignum_ffdhe3072_p, &_bignum_ffdhe3072_q, 275);
case NID_ffdhe4096:
- return dh_param_init(&_bignum_ffdhe4096_p, 325);
+ return dh_param_init(nid, &_bignum_ffdhe4096_p, &_bignum_ffdhe4096_q, 325);
case NID_ffdhe6144:
- return dh_param_init(&_bignum_ffdhe6144_p, 375);
+ return dh_param_init(nid, &_bignum_ffdhe6144_p, &_bignum_ffdhe6144_q, 375);
case NID_ffdhe8192:
- return dh_param_init(&_bignum_ffdhe8192_p, 400);
+ return dh_param_init(nid, &_bignum_ffdhe8192_p, &_bignum_ffdhe8192_q, 400);
+ case NID_modp_2048:
+ return dh_param_init(nid, &_bignum_modp_2048_p, &_bignum_modp_2048_q, 225);
+ case NID_modp_3072:
+ return dh_param_init(nid, &_bignum_modp_3072_p, &_bignum_modp_3072_q, 275);
+ case NID_modp_4096:
+ return dh_param_init(nid, &_bignum_modp_4096_p, &_bignum_modp_4096_q, 325);
+ case NID_modp_6144:
+ return dh_param_init(nid, &_bignum_modp_6144_p, &_bignum_modp_6144_q, 375);
+ case NID_modp_8192:
+ return dh_param_init(nid, &_bignum_modp_8192_p, &_bignum_modp_8192_q, 400);
+ case NID_modp_1536:
+ if (!FIPS_mode())
+ return dh_param_init(nid, &_bignum_modp_1536_p, &_bignum_modp_1536_q, 175);
+ /* fallthrough */
default:
DHerr(DH_F_DH_NEW_BY_NID, DH_R_INVALID_PARAMETER_NID);
return NULL;
}
}
-int DH_get_nid(const DH *dh)
+static int dh_match_group(const DH *dh, BIGNUM **qout, int *lout)
{
int nid;
+ const BIGNUM *q;
+ int length;
if (BN_get_word(dh->g) != 2)
return NID_undef;
- if (!BN_cmp(dh->p, &_bignum_ffdhe2048_p))
+
+ if (dh->nid == NID_ffdhe2048 || !BN_cmp(dh->p, &_bignum_ffdhe2048_p)) {
nid = NID_ffdhe2048;
- else if (!BN_cmp(dh->p, &_bignum_ffdhe3072_p))
+ q = &_bignum_ffdhe2048_q;
+ length = 225;
+ } else if (dh->nid == NID_ffdhe3072 || !BN_cmp(dh->p, &_bignum_ffdhe3072_p)) {
nid = NID_ffdhe3072;
- else if (!BN_cmp(dh->p, &_bignum_ffdhe4096_p))
+ q = &_bignum_ffdhe3072_q;
+ length = 275;
+ } else if (dh->nid == NID_ffdhe4096 || !BN_cmp(dh->p, &_bignum_ffdhe4096_p)) {
nid = NID_ffdhe4096;
- else if (!BN_cmp(dh->p, &_bignum_ffdhe6144_p))
+ q = &_bignum_ffdhe4096_q;
+ length = 325;
+ } else if (dh->nid == NID_ffdhe6144 || !BN_cmp(dh->p, &_bignum_ffdhe6144_p)) {
nid = NID_ffdhe6144;
- else if (!BN_cmp(dh->p, &_bignum_ffdhe8192_p))
+ q = &_bignum_ffdhe6144_q;
+ length = 375;
+ } else if (dh->nid == NID_ffdhe8192 || !BN_cmp(dh->p, &_bignum_ffdhe8192_p)) {
nid = NID_ffdhe8192;
- else
+ q = &_bignum_ffdhe8192_q;
+ length = 400;
+ } else if (dh->nid == NID_modp_2048 || !BN_cmp(dh->p, &_bignum_modp_2048_p)) {
+ nid = NID_modp_2048;
+ q = &_bignum_modp_2048_q;
+ length = 225;
+ } else if (dh->nid == NID_modp_3072 || !BN_cmp(dh->p, &_bignum_modp_3072_p)) {
+ nid = NID_modp_3072;
+ q = &_bignum_modp_3072_q;
+ length = 275;
+ } else if (dh->nid == NID_modp_4096 || !BN_cmp(dh->p, &_bignum_modp_4096_p)) {
+ nid = NID_modp_4096;
+ q = &_bignum_modp_4096_q;
+ length = 325;
+ } else if (dh->nid == NID_modp_6144 || !BN_cmp(dh->p, &_bignum_modp_6144_p)) {
+ nid = NID_modp_6144;
+ q = &_bignum_modp_6144_q;
+ length = 375;
+ } else if (dh->nid == NID_modp_8192 || !BN_cmp(dh->p, &_bignum_modp_8192_p)) {
+ nid = NID_modp_8192;
+ q = &_bignum_modp_8192_q;
+ length = 400;
+ } else if (!FIPS_mode() && (dh->nid == NID_modp_1536 || !BN_cmp(dh->p, &_bignum_modp_1536_p))) {
+ nid = NID_modp_1536;
+ q = &_bignum_modp_1536_q;
+ length = 175;
+ } else {
return NID_undef;
+ }
+
if (dh->q != NULL) {
- BIGNUM *q = BN_dup(dh->p);
+ /* Check that q matches the known q. */
+ if (BN_cmp(dh->q, q))
+ return NID_undef;
+ } else if (qout != NULL) {
+ *qout = (BIGNUM *)q;
+ }
- /* Check q = p * 2 + 1 we already know q is odd, so just shift right */
- if (q == NULL || !BN_rshift1(q, q) || !BN_cmp(dh->q, q))
- nid = NID_undef;
- BN_free(q);
+ if (lout != NULL) {
+ *lout = length;
}
return nid;
}
+
+int DH_get_nid(const DH *dh)
+{
+ if (dh->nid != NID_undef) {
+ return dh->nid;
+ }
+ return dh_match_group(dh, NULL, NULL);
+}
+
+void dh_cache_nid(DH *dh)
+{
+ dh->nid = dh_match_group(dh, NULL, &dh->length);
+}
+
+int dh_get_known_q(const DH *dh, BIGNUM **q)
+{
+ return dh_match_group(dh, q, NULL) != NID_undef;
+}
+
Index: openssl-1.1.1m/crypto/ec/ecdh_ossl.c
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ecdh_ossl.c
+++ openssl-1.1.1m/crypto/ec/ecdh_ossl.c
@@ -42,9 +42,14 @@ int ossl_ecdh_compute_key(unsigned char
}
/*-
- * This implementation is based on the following primitives in the IEEE 1363 standard:
+ * This implementation is based on the following primitives in the
+ * IEEE 1363 standard:
* - ECKAS-DH1
* - ECSVDP-DH
+ *
+ * It also conforms to SP800-56A r3
+ * See Section 5.7.1.2 "Elliptic Curve Cryptography Cofactor Diffie-Hellman
+ * (ECC CDH) Primitive:". The steps listed below refer to SP800-56A.
*/
int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh)
@@ -75,6 +80,10 @@ int ecdh_simple_compute_key(unsigned cha
group = EC_KEY_get0_group(ecdh);
+ /*
+ * Step(1) - Compute the point tmp = cofactor * owners_private_key
+ * * peer_public_key.
+ */
if (EC_KEY_get_flags(ecdh) & EC_FLAG_COFACTOR_ECDH) {
if (!EC_GROUP_get_cofactor(group, x, NULL) ||
!BN_mul(x, x, priv_key, ctx)) {
@@ -94,11 +103,20 @@ int ecdh_simple_compute_key(unsigned cha
goto err;
}
+ /*
+ * Step(2) : If point tmp is at infinity then clear intermediate values and
+ * exit. Note: getting affine coordinates returns 0 if point is at infinity.
+ * Step(3a) : Get x-coordinate of point x = tmp.x
+ */
if (!EC_POINT_get_affine_coordinates(group, tmp, x, NULL, ctx)) {
ECerr(EC_F_ECDH_SIMPLE_COMPUTE_KEY, EC_R_POINT_ARITHMETIC_FAILURE);
goto err;
}
+ /*
+ * Step(3b) : convert x to a byte string, using the field-element-to-byte
+ * string conversion routine defined in Appendix C.2
+ */
buflen = (EC_GROUP_get_degree(group) + 7) / 8;
len = BN_num_bytes(x);
if (len > buflen) {
@@ -123,6 +141,8 @@ int ecdh_simple_compute_key(unsigned cha
ret = 1;
err:
+ /* Step(4) : Destroy all intermediate calculations */
+ BN_clear(x);
EC_POINT_clear_free(tmp);
BN_CTX_end(ctx);
BN_CTX_free(ctx);
Index: openssl-1.1.1m/crypto/ec/ecdsa_ossl.c
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ecdsa_ossl.c
+++ openssl-1.1.1m/crypto/ec/ecdsa_ossl.c
@@ -104,7 +104,7 @@ static int ecdsa_sign_setup(EC_KEY *ecke
}
}
- k = BN_new(); /* this value is later returned in *kinvp */
+ k = BN_secure_new(); /* this value is later returned in *kinvp */
r = BN_new(); /* this value is later returned in *rp */
X = BN_new();
if (k == NULL || r == NULL || X == NULL) {
Index: openssl-1.1.1m/crypto/ec/ec_key.c
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ec_key.c
+++ openssl-1.1.1m/crypto/ec/ec_key.c
@@ -244,61 +244,117 @@ int ossl_ec_key_gen(EC_KEY *eckey)
return eckey->group->meth->keygen(eckey);
}
+/*
+ * ECC Key generation.
+ * See SP800-56AR3 5.6.1.2.2 "Key Pair Generation by Testing Candidates"
+ *
+ * Params:
+ * eckey An EC key object that contains domain params. The generated keypair
+ * is stored in this object.
+ * Returns 1 if the keypair was generated or 0 otherwise.
+ */
int ec_key_simple_generate_key(EC_KEY *eckey)
{
int ok = 0;
- BN_CTX *ctx = NULL;
BIGNUM *priv_key = NULL;
const BIGNUM *order = NULL;
EC_POINT *pub_key = NULL;
-
- if ((ctx = BN_CTX_new()) == NULL)
- goto err;
+ const EC_GROUP *group = eckey->group;
if (eckey->priv_key == NULL) {
- priv_key = BN_new();
+ priv_key = BN_secure_new();
if (priv_key == NULL)
goto err;
} else
priv_key = eckey->priv_key;
- order = EC_GROUP_get0_order(eckey->group);
+ /*
+ * Steps (1-2): Check domain parameters and security strength.
+ * These steps must be done by the user. This would need to be
+ * stated in the security policy.
+ */
+
+ order = EC_GROUP_get0_order(group);
if (order == NULL)
goto err;
+ /*
+ * Steps (3-7): priv_key = DRBG_RAND(order_n_bits) (range [1, n-1]).
+ * Although this is slightly different from the standard, it is effectively
+ * equivalent as it gives an unbiased result ranging from 1..n-1. It is also
+ * faster as the standard needs to retry more often. Also doing
+ * 1 + rand[0..n-2] would effect the way that tests feed dummy entropy into
+ * rand so the simpler backward compatible method has been used here.
+ */
do
if (!BN_priv_rand_range(priv_key, order))
goto err;
while (BN_is_zero(priv_key)) ;
if (eckey->pub_key == NULL) {
- pub_key = EC_POINT_new(eckey->group);
+ pub_key = EC_POINT_new(group);
if (pub_key == NULL)
goto err;
} else
pub_key = eckey->pub_key;
- if (!EC_POINT_mul(eckey->group, pub_key, priv_key, NULL, NULL, ctx))
+ /* Step (8) : pub_key = priv_key * G (where G is a point on the curve) */
+ if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, NULL))
goto err;
- eckey->priv_key = priv_key;
eckey->pub_key = pub_key;
+ pub_key = NULL;
+
+ if (FIPS_mode()) {
+ eckey->priv_key = NULL;
+ if (EC_KEY_check_key(eckey) <= 0) {
+ eckey->pub_key = NULL;
+ goto err;
+ }
+ }
+
+ eckey->priv_key = priv_key;
+ priv_key = NULL;
ok = 1;
err:
- if (eckey->pub_key == NULL)
- EC_POINT_free(pub_key);
- if (eckey->priv_key != priv_key)
- BN_free(priv_key);
- BN_CTX_free(ctx);
+ /* Step (9): If there is an error return an invalid keypair. */
+ if (!ok) {
+ BN_clear(eckey->priv_key);
+ if (eckey->pub_key != NULL)
+ EC_POINT_set_to_infinity(group, eckey->pub_key);
+ }
+
+ EC_POINT_free(pub_key);
+ BN_clear_free(priv_key);
return ok;
}
int ec_key_simple_generate_public_key(EC_KEY *eckey)
{
- return EC_POINT_mul(eckey->group, eckey->pub_key, eckey->priv_key, NULL,
+ BIGNUM *priv_key;
+
+ /*
+ * See SP800-56AR3 5.6.1.2.2: Step (8)
+ * pub_key = priv_key * G (where G is a point on the curve)
+ */
+ int ret = EC_POINT_mul(eckey->group, eckey->pub_key, eckey->priv_key, NULL,
NULL, NULL);
+
+ if (ret <= 0 || !FIPS_mode())
+ return ret;
+
+ /* no need to perform private key test, temporarily hide it */
+ priv_key = eckey->priv_key;
+ eckey->priv_key = NULL;
+ ret = EC_KEY_check_key(eckey);
+ eckey->priv_key = priv_key;
+
+ if (ret <= 0)
+ EC_POINT_set_to_infinity(eckey->group, eckey->pub_key);
+
+ return ret;
}
int EC_KEY_check_key(const EC_KEY *eckey)
@@ -316,47 +372,100 @@ int EC_KEY_check_key(const EC_KEY *eckey
return eckey->group->meth->keycheck(eckey);
}
-int ec_key_simple_check_key(const EC_KEY *eckey)
+/*
+ * Check the range of the EC public key.
+ * See SP800-56A R3 Section 5.6.2.3.3 (Part 2)
+ * i.e.
+ * - If q = odd prime p: Verify that xQ and yQ are integers in the
+ * interval[0, p − 1], OR
+ * - If q = 2m: Verify that xQ and yQ are bit strings of length m bits.
+ * Returns 1 if the public key has a valid range, otherwise it returns 0.
+ */
+static int ec_key_public_range_check(BN_CTX *ctx, const EC_KEY *key)
{
- int ok = 0;
- BN_CTX *ctx = NULL;
- const BIGNUM *order = NULL;
+ int ret = 0;
+ BIGNUM *x, *y;
+
+ BN_CTX_start(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL)
+ goto err;
+
+ if (!EC_POINT_get_affine_coordinates(key->group, key->pub_key, x, y, ctx))
+ goto err;
+
+ if (EC_METHOD_get_field_type(key->group->meth) == NID_X9_62_prime_field) {
+ if (BN_is_negative(x)
+ || BN_cmp(x, key->group->field) >= 0
+ || BN_is_negative(y)
+ || BN_cmp(y, key->group->field) >= 0) {
+ goto err;
+ }
+ } else {
+ int m = EC_GROUP_get_degree(key->group);
+ if (BN_num_bits(x) > m || BN_num_bits(y) > m) {
+ goto err;
+ }
+ }
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * ECC Key validation as specified in SP800-56A R3.
+ * Section 5.6.2.3.3 ECC Full Public-Key Validation.
+ */
+int ec_key_public_check(const EC_KEY *eckey, BN_CTX *ctx)
+{
+ int ret = 0;
EC_POINT *point = NULL;
+ const BIGNUM *order = NULL;
if (eckey == NULL || eckey->group == NULL || eckey->pub_key == NULL) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
+ ECerr(0, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
+ /* 5.6.2.3.3 (Step 1): Q != infinity */
if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key)) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_POINT_AT_INFINITY);
- goto err;
+ ECerr(0, EC_R_POINT_AT_INFINITY);
+ return 0;
}
- if ((ctx = BN_CTX_new()) == NULL)
- goto err;
- if ((point = EC_POINT_new(eckey->group)) == NULL)
+ point = EC_POINT_new(eckey->group);
+ if (point == NULL)
+ return 0;
+
+ /* 5.6.2.3.3 (Step 2) Test if the public key is in range */
+ if (!ec_key_public_range_check(ctx, eckey)) {
+ ECerr(0, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
+ }
- /* testing whether the pub_key is on the elliptic curve */
+ /* 5.6.2.3.3 (Step 3) is the pub_key on the elliptic curve */
if (EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx) <= 0) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
+ ECerr(0, EC_R_POINT_IS_NOT_ON_CURVE);
goto err;
}
- /* testing whether pub_key * order is the point at infinity */
+
order = eckey->group->order;
if (BN_is_zero(order)) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
+ ECerr(0, EC_R_INVALID_GROUP_ORDER);
goto err;
}
+ /* 5.6.2.3.3 (Step 4) : pub_key * order is the point at infinity. */
if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx)) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, ERR_R_EC_LIB);
+ ECerr(0, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_is_at_infinity(eckey->group, point)) {
- ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_WRONG_ORDER);
+ ECerr(0, EC_R_WRONG_ORDER);
goto err;
}
+
/*
* in case the priv_key is present : check if generator * priv_key ==
* pub_key
@@ -376,10 +485,40 @@ int ec_key_simple_check_key(const EC_KEY
goto err;
}
}
+
+ ret = 1;
+ err:
+ EC_POINT_free(point);
+ return ret;
+}
+
+
+/*
+ * ECC Key validation as specified in SP800-56A R3.
+ * Section 5.6.2.3.3 ECC Full Public-Key Validation
+ * NOTES:
+ * Before calling this method in fips mode, there should be an assurance that
+ * an approved elliptic-curve group is used.
+ * Returns 1 if the key is valid, otherwise it returns 0.
+ */
+int ec_key_simple_check_key(const EC_KEY *eckey)
+{
+ int ok = 0;
+ BN_CTX *ctx = NULL;
+
+ if (eckey == NULL) {
+ ECerr(0, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+ if ((ctx = BN_CTX_new()) == NULL)
+ return 0;
+
+ if (!ec_key_public_check(eckey, ctx))
+ goto err;
+
ok = 1;
err:
BN_CTX_free(ctx);
- EC_POINT_free(point);
return ok;
}
@@ -417,12 +556,10 @@ int EC_KEY_set_public_key_affine_coordin
goto err;
/*
- * Check if retrieved coordinates match originals and are less than field
- * order: if not values are out of range.
+ * Check if retrieved coordinates match originals. The range check is done
+ * inside EC_KEY_check_key().
*/
- if (BN_cmp(x, tx) || BN_cmp(y, ty)
- || (BN_cmp(x, key->group->field) >= 0)
- || (BN_cmp(y, key->group->field) >= 0)) {
+ if (BN_cmp(x, tx) || BN_cmp(y, ty)) {
ECerr(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES,
EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
Index: openssl-1.1.1m/crypto/ec/ec_local.h
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ec_local.h
+++ openssl-1.1.1m/crypto/ec/ec_local.h
@@ -610,6 +610,8 @@ int ec_key_simple_generate_key(EC_KEY *e
int ec_key_simple_generate_public_key(EC_KEY *eckey);
int ec_key_simple_check_key(const EC_KEY *eckey);
+int ec_key_public_check(const EC_KEY *eckey, BN_CTX *ctx);
+
int ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx);
/* EC_METHOD definitions */
Index: openssl-1.1.1m/crypto/ec/ec_lib.c
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ec_lib.c
+++ openssl-1.1.1m/crypto/ec/ec_lib.c
@@ -454,6 +454,11 @@ int EC_GROUP_get_curve_name(const EC_GRO
return group->curve_name;
}
+const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group)
+{
+ return group->field;
+}
+
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
{
group->asn1_flag = flag;
Index: openssl-1.1.1m/crypto/evp/p_lib.c
===================================================================
--- openssl-1.1.1m.orig/crypto/evp/p_lib.c
+++ openssl-1.1.1m/crypto/evp/p_lib.c
@@ -545,7 +545,8 @@ EC_KEY *EVP_PKEY_get1_EC_KEY(EVP_PKEY *p
int EVP_PKEY_set1_DH(EVP_PKEY *pkey, DH *key)
{
- int type = DH_get0_q(key) == NULL ? EVP_PKEY_DH : EVP_PKEY_DHX;
+ int type = DH_get0_q(key) == NULL || DH_get_nid(key) != NID_undef ?
+ EVP_PKEY_DH : EVP_PKEY_DHX;
int ret = EVP_PKEY_assign(pkey, type, key);
if (ret)
Index: openssl-1.1.1m/include/crypto/bn_dh.h
===================================================================
--- openssl-1.1.1m.orig/include/crypto/bn_dh.h
+++ openssl-1.1.1m/include/crypto/bn_dh.h
@@ -9,16 +9,35 @@
#define declare_dh_bn(x) \
extern const BIGNUM _bignum_dh##x##_p; \
+ extern const BIGNUM _bignum_dh##x##_q; \
extern const BIGNUM _bignum_dh##x##_g; \
- extern const BIGNUM _bignum_dh##x##_q;
declare_dh_bn(1024_160)
declare_dh_bn(2048_224)
declare_dh_bn(2048_256)
+extern const BIGNUM _bignum_const_2;
+
extern const BIGNUM _bignum_ffdhe2048_p;
extern const BIGNUM _bignum_ffdhe3072_p;
extern const BIGNUM _bignum_ffdhe4096_p;
extern const BIGNUM _bignum_ffdhe6144_p;
extern const BIGNUM _bignum_ffdhe8192_p;
-extern const BIGNUM _bignum_const_2;
+extern const BIGNUM _bignum_ffdhe2048_q;
+extern const BIGNUM _bignum_ffdhe3072_q;
+extern const BIGNUM _bignum_ffdhe4096_q;
+extern const BIGNUM _bignum_ffdhe6144_q;
+extern const BIGNUM _bignum_ffdhe8192_q;
+
+extern const BIGNUM _bignum_modp_1536_p;
+extern const BIGNUM _bignum_modp_2048_p;
+extern const BIGNUM _bignum_modp_3072_p;
+extern const BIGNUM _bignum_modp_4096_p;
+extern const BIGNUM _bignum_modp_6144_p;
+extern const BIGNUM _bignum_modp_8192_p;
+extern const BIGNUM _bignum_modp_1536_q;
+extern const BIGNUM _bignum_modp_2048_q;
+extern const BIGNUM _bignum_modp_3072_q;
+extern const BIGNUM _bignum_modp_4096_q;
+extern const BIGNUM _bignum_modp_6144_q;
+extern const BIGNUM _bignum_modp_8192_q;
Index: openssl-1.1.1m/crypto/objects/obj_dat.h
===================================================================
--- openssl-1.1.1m.orig/crypto/objects/obj_dat.h
+++ openssl-1.1.1m/crypto/objects/obj_dat.h
@@ -1078,7 +1078,7 @@ static const unsigned char so[7762] = {
0x2A,0x86,0x48,0x86,0xF7,0x0D,0x02,0x0D, /* [ 7753] OBJ_hmacWithSHA512_256 */
};
-#define NUM_NID 1196
+#define NUM_NID 1202
static const ASN1_OBJECT nid_objs[NUM_NID] = {
{"UNDEF", "undefined", NID_undef},
{"rsadsi", "RSA Data Security, Inc.", NID_rsadsi, 6, &so[0]},
@@ -2276,9 +2276,15 @@ static const ASN1_OBJECT nid_objs[NUM_NI
{"hmacWithSHA512-224", "hmacWithSHA512-224", NID_hmacWithSHA512_224, 8, &so[7745]},
{"hmacWithSHA512-256", "hmacWithSHA512-256", NID_hmacWithSHA512_256, 8, &so[7753]},
{"SSHKDF", "sshkdf", NID_sshkdf},
+ {"modp_1536", "modp_1536", NID_modp_1536},
+ {"modp_2048", "modp_2048", NID_modp_2048},
+ {"modp_3072", "modp_3072", NID_modp_3072},
+ {"modp_4096", "modp_4096", NID_modp_4096},
+ {"modp_6144", "modp_6144", NID_modp_6144},
+ {"modp_8192", "modp_8192", NID_modp_8192},
};
-#define NUM_SN 1187
+#define NUM_SN 1193
static const unsigned int sn_objs[NUM_SN] = {
364, /* "AD_DVCS" */
419, /* "AES-128-CBC" */
@@ -3121,6 +3127,12 @@ static const unsigned int sn_objs[NUM_SN
506, /* "mime-mhs-bodies" */
505, /* "mime-mhs-headings" */
488, /* "mobileTelephoneNumber" */
+ 1196, /* "modp_1536" */
+ 1197, /* "modp_2048" */
+ 1198, /* "modp_3072" */
+ 1199, /* "modp_4096" */
+ 1200, /* "modp_6144" */
+ 1201, /* "modp_8192" */
136, /* "msCTLSign" */
135, /* "msCodeCom" */
134, /* "msCodeInd" */
@@ -3469,7 +3481,7 @@ static const unsigned int sn_objs[NUM_SN
1093, /* "x509ExtAdmission" */
};
-#define NUM_LN 1187
+#define NUM_LN 1193
static const unsigned int ln_objs[NUM_LN] = {
363, /* "AD Time Stamping" */
405, /* "ANSI X9.62" */
@@ -4305,6 +4317,12 @@ static const unsigned int ln_objs[NUM_LN
506, /* "mime-mhs-bodies" */
505, /* "mime-mhs-headings" */
488, /* "mobileTelephoneNumber" */
+ 1196, /* "modp_1536" */
+ 1197, /* "modp_2048" */
+ 1198, /* "modp_3072" */
+ 1199, /* "modp_4096" */
+ 1200, /* "modp_6144" */
+ 1201, /* "modp_8192" */
481, /* "nSRecord" */
173, /* "name" */
681, /* "onBasis" */
Index: openssl-1.1.1m/crypto/objects/objects.txt
===================================================================
--- openssl-1.1.1m.orig/crypto/objects/objects.txt
+++ openssl-1.1.1m/crypto/objects/objects.txt
@@ -1648,6 +1648,13 @@ id-pkinit 5 : pkInit
: ffdhe4096
: ffdhe6144
: ffdhe8192
+# NIDs for RFC3526 DH parameters
+ : modp_1536
+ : modp_2048
+ : modp_3072
+ : modp_4096
+ : modp_6144
+ : modp_8192
# OIDs for DSTU-4145/DSTU-7564 (http://zakon2.rada.gov.ua/laws/show/z0423-17)
Index: openssl-1.1.1m/crypto/objects/obj_mac.num
===================================================================
--- openssl-1.1.1m.orig/crypto/objects/obj_mac.num
+++ openssl-1.1.1m/crypto/objects/obj_mac.num
@@ -1193,3 +1193,9 @@ magma_mac 1192
hmacWithSHA512_224 1193
hmacWithSHA512_256 1194
sshkdf 1195
+modp_1536 1196
+modp_2048 1197
+modp_3072 1198
+modp_4096 1199
+modp_6144 1200
+modp_8192 1201
Index: openssl-1.1.1m/doc/man3/DH_new_by_nid.pod
===================================================================
--- openssl-1.1.1m.orig/doc/man3/DH_new_by_nid.pod
+++ openssl-1.1.1m/doc/man3/DH_new_by_nid.pod
@@ -8,13 +8,15 @@ DH_new_by_nid, DH_get_nid - get or find
#include <openssl/dh.h>
DH *DH_new_by_nid(int nid);
- int *DH_get_nid(const DH *dh);
+ int DH_get_nid(const DH *dh);
=head1 DESCRIPTION
DH_new_by_nid() creates and returns a DH structure containing named parameters
B<nid>. Currently B<nid> must be B<NID_ffdhe2048>, B<NID_ffdhe3072>,
-B<NID_ffdhe4096>, B<NID_ffdhe6144> or B<NID_ffdhe8192>.
+B<NID_ffdhe4096>, B<NID_ffdhe6144>, B<NID_ffdhe8192>,
+B<NID_modp_1536>, B<NID_modp_2048>, B<NID_modp_3072>,
+B<NID_modp_4096>, B<NID_modp_6144> or B<NID_modp_8192>.
DH_get_nid() determines if the parameters contained in B<dh> match
any named set. It returns the NID corresponding to the matching parameters or
Index: openssl-1.1.1m/doc/man3/EVP_PKEY_CTX_ctrl.pod
===================================================================
--- openssl-1.1.1m.orig/doc/man3/EVP_PKEY_CTX_ctrl.pod
+++ openssl-1.1.1m/doc/man3/EVP_PKEY_CTX_ctrl.pod
@@ -294,10 +294,11 @@ The EVP_PKEY_CTX_set_dh_pad() macro sets
If B<pad> is zero (the default) then no padding is performed.
EVP_PKEY_CTX_set_dh_nid() sets the DH parameters to values corresponding to
-B<nid> as defined in RFC7919. The B<nid> parameter must be B<NID_ffdhe2048>,
-B<NID_ffdhe3072>, B<NID_ffdhe4096>, B<NID_ffdhe6144>, B<NID_ffdhe8192>
-or B<NID_undef> to clear the stored value. This macro can be called during
-parameter or key generation.
+I<nid> as defined in RFC7919 or RFC3526. The I<nid> parameter must be
+B<NID_ffdhe2048>, B<NID_ffdhe3072>, B<NID_ffdhe4096>, B<NID_ffdhe6144>,
+B<NID_ffdhe8192>, B<NID_modp_1536>, B<NID_modp_2048>, B<NID_modp_3072>,
+B<NID_modp_4096>, B<NID_modp_6144>, B<NID_modp_8192> or B<NID_undef> to clear
+the stored value. This macro can be called during parameter or key generation.
The nid parameter and the rfc5114 parameter are mutually exclusive.
The EVP_PKEY_CTX_set_dh_rfc5114() and EVP_PKEY_CTX_set_dhx_rfc5114() macros are
Index: openssl-1.1.1m/include/openssl/ec.h
===================================================================
--- openssl-1.1.1m.orig/include/openssl/ec.h
+++ openssl-1.1.1m/include/openssl/ec.h
@@ -212,6 +212,12 @@ void EC_GROUP_set_curve_name(EC_GROUP *g
*/
int EC_GROUP_get_curve_name(const EC_GROUP *group);
+/** Gets the field of an EC_GROUP
+ * \param group EC_GROUP object
+ * \return the group field
+ */
+const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group);
+
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
Index: openssl-1.1.1m/include/openssl/obj_mac.h
===================================================================
--- openssl-1.1.1m.orig/include/openssl/obj_mac.h
+++ openssl-1.1.1m/include/openssl/obj_mac.h
@@ -5103,6 +5103,24 @@
#define SN_ffdhe8192 "ffdhe8192"
#define NID_ffdhe8192 1130
+#define SN_modp_1536 "modp_1536"
+#define NID_modp_1536 1196
+
+#define SN_modp_2048 "modp_2048"
+#define NID_modp_2048 1197
+
+#define SN_modp_3072 "modp_3072"
+#define NID_modp_3072 1198
+
+#define SN_modp_4096 "modp_4096"
+#define NID_modp_4096 1199
+
+#define SN_modp_6144 "modp_6144"
+#define NID_modp_6144 1200
+
+#define SN_modp_8192 "modp_8192"
+#define NID_modp_8192 1201
+
#define SN_ISO_UA "ISO-UA"
#define NID_ISO_UA 1150
#define OBJ_ISO_UA OBJ_member_body,804L
Index: openssl-1.1.1m/ssl/s3_lib.c
===================================================================
--- openssl-1.1.1m.orig/ssl/s3_lib.c
+++ openssl-1.1.1m/ssl/s3_lib.c
@@ -4846,13 +4846,51 @@ int ssl_derive(SSL *s, EVP_PKEY *privkey
EVP_PKEY *ssl_dh_to_pkey(DH *dh)
{
EVP_PKEY *ret;
+ DH *dhp = NULL;
+
if (dh == NULL)
return NULL;
+
+ if (FIPS_mode() && DH_get_nid(dh) == NID_undef) {
+ int bits = DH_bits(dh);
+ BIGNUM *p, *g;
+
+ dhp = DH_new();
+ if (dhp == NULL)
+ return NULL;
+ g = BN_new();
+ if (g == NULL || !BN_set_word(g, 2)) {
+ DH_free(dhp);
+ BN_free(g);
+ return NULL;
+ }
+
+ if (bits >= 7000)
+ p = BN_get_rfc3526_prime_8192(NULL);
+ else if (bits >= 5000)
+ p = BN_get_rfc3526_prime_6144(NULL);
+ else if (bits >= 3800)
+ p = BN_get_rfc3526_prime_4096(NULL);
+ else if (bits >= 2500)
+ p = BN_get_rfc3526_prime_3072(NULL);
+ else
+ p = BN_get_rfc3526_prime_2048(NULL);
+ if (p == NULL || !DH_set0_pqg(dhp, p, NULL, g)) {
+ DH_free(dhp);
+ BN_free(p);
+ BN_free(g);
+ return NULL;
+ }
+ dh = dhp;
+ }
+
ret = EVP_PKEY_new();
if (EVP_PKEY_set1_DH(ret, dh) <= 0) {
+ DH_free(dhp);
EVP_PKEY_free(ret);
return NULL;
}
+ DH_free(dhp);
return ret;
}
#endif
Index: openssl-1.1.1m/test/ectest.c
===================================================================
--- openssl-1.1.1m.orig/test/ectest.c
+++ openssl-1.1.1m/test/ectest.c
@@ -1208,6 +1208,42 @@ static int internal_curve_test_method(in
return r;
}
+static int group_field_test(void)
+{
+ int r = 1;
+ BIGNUM *secp521r1_field = NULL;
+ BIGNUM *sect163r2_field = NULL;
+ EC_GROUP *secp521r1_group = NULL;
+ EC_GROUP *sect163r2_group = NULL;
+
+ BN_hex2bn(&secp521r1_field,
+ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFF");
+
+ BN_hex2bn(§163r2_field,
+ "08000000000000000000000000000000"
+ "00000000C9");
+
+ secp521r1_group = EC_GROUP_new_by_curve_name(NID_secp521r1);
+ if (BN_cmp(secp521r1_field, EC_GROUP_get0_field(secp521r1_group)))
+ r = 0;
+
+ # ifndef OPENSSL_NO_EC2M
+ sect163r2_group = EC_GROUP_new_by_curve_name(NID_sect163r2);
+ if (BN_cmp(sect163r2_field, EC_GROUP_get0_field(sect163r2_group)))
+ r = 0;
+ # endif
+
+ EC_GROUP_free(secp521r1_group);
+ EC_GROUP_free(sect163r2_group);
+ BN_free(secp521r1_field);
+ BN_free(sect163r2_field);
+ return r;
+}
+
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
/*
* nistp_test_params contains magic numbers for testing our optimized
@@ -1876,6 +1912,61 @@ err:
return r;
}
+static int check_ec_key_field_public_range_test(int id)
+{
+ int ret = 0, type = 0;
+ const EC_POINT *pub = NULL;
+ const EC_GROUP *group = NULL;
+ const EC_METHOD *meth = NULL;
+ const BIGNUM *field = NULL;
+ BIGNUM *x = NULL, *y = NULL;
+ EC_KEY *key = NULL;
+
+ if (!(TEST_ptr(x = BN_new())
+ && TEST_ptr(y = BN_new())
+ && TEST_ptr(key = EC_KEY_new_by_curve_name(curves[id].nid))
+ && TEST_ptr(group = EC_KEY_get0_group(key))
+ && TEST_ptr(meth = EC_GROUP_method_of(group))
+ && TEST_ptr(field = EC_GROUP_get0_field(group))
+ && TEST_int_gt(EC_KEY_generate_key(key), 0)
+ && TEST_int_gt(EC_KEY_check_key(key), 0)
+ && TEST_ptr(pub = EC_KEY_get0_public_key(key))
+ && TEST_int_gt(EC_POINT_get_affine_coordinates(group, pub, x, y,
+ NULL), 0)))
+ goto err;
+
+ /*
+ * Make the public point out of range by adding the field (which will still
+ * be the same point on the curve). The add is different for char2 fields.
+ */
+ type = EC_METHOD_get_field_type(meth);
+#ifndef OPENSSL_NO_EC2M
+ if (type == NID_X9_62_characteristic_two_field) {
+ /* test for binary curves */
+ if (!TEST_true(BN_GF2m_add(x, x, field)))
+ goto err;
+ } else
+#endif
+ if (type == NID_X9_62_prime_field) {
+ /* test for prime curves */
+ if (!TEST_true(BN_add(x, x, field)))
+ goto err;
+ } else {
+ /* this should never happen */
+ TEST_error("Unsupported EC_METHOD field_type");
+ goto err;
+ }
+ if (!TEST_int_le(EC_KEY_set_public_key_affine_coordinates(key, x, y), 0))
+ goto err;
+
+ ret = 1;
+err:
+ BN_free(x);
+ BN_free(y);
+ EC_KEY_free(key);
+ return ret;
+}
+
/*-
* random 256-bit explicit parameters curve, cofactor absent
* order: 0x0c38d96a9f892b88772ec2e39614a82f4f (132 bit)
@@ -2254,8 +2345,10 @@ int setup_tests(void)
# endif
ADD_ALL_TESTS(internal_curve_test, crv_len);
ADD_ALL_TESTS(internal_curve_test_method, crv_len);
+ ADD_TEST(group_field_test);
ADD_ALL_TESTS(check_named_curve_from_ecparameters, crv_len);
+ ADD_ALL_TESTS(check_ec_key_field_public_range_test, crv_len);
ADD_ALL_TESTS(ec_point_hex2point_test, crv_len);
ADD_ALL_TESTS(custom_generator_test, crv_len);
#endif /* OPENSSL_NO_EC */
Index: openssl-1.1.1m/crypto/ec/ec_kmeth.c
===================================================================
--- openssl-1.1.1m.orig/crypto/ec/ec_kmeth.c
+++ openssl-1.1.1m/crypto/ec/ec_kmeth.c
@@ -148,6 +148,14 @@ int ECDH_compute_key(void *out, size_t o
outlen = seclen;
memcpy(out, sec, outlen);
}
+
+ if (FIPS_mode()) {
+ if (EC_KEY_check_key(eckey) <= 0) {
+ EC_POINT_set_to_infinity(eckey->group, eckey->pub_key);
+ return 0;
+ }
+ }
+
OPENSSL_clear_free(sec, seclen);
return outlen;
}
Index: openssl-1.1.1m/ssl/t1_lib.c
===================================================================
--- openssl-1.1.1m.orig/ssl/t1_lib.c
+++ openssl-1.1.1m/ssl/t1_lib.c
@@ -2479,7 +2479,7 @@ DH *ssl_get_auto_dh(SSL *s)
p = BN_get_rfc3526_prime_4096(NULL);
else if (dh_secbits >= 128)
p = BN_get_rfc3526_prime_3072(NULL);
- else if (dh_secbits >= 112)
+ else if (dh_secbits >= 112 || FIPS_mode())
p = BN_get_rfc3526_prime_2048(NULL);
else
p = BN_get_rfc2409_prime_1024(NULL);
