gf2x is a library for fast multiplication of polynomials over the GF(2) binary field.

Givaro is a C++ library for arithmetic and algebraic computations.

Its main features are implementations of the basic arithmetic of many mathematical entities: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, Arbitrary precision integers and rationals (C++ wrappers over gmp) It also provides data-structures and templated classes for the manipulation of basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive multivariate).

It contains different program modules and is fully compatible with the LinBox linear algebra library and the KAAPI kernel for Adaptative, Asynchronous Parallel and Interactive programming.

IML package provides efficient routines to solve nonsingular systems of linear equations, certified solve any shape systems of linear equations, and perform mod p matrix operations, such as computing row-echelon form, determinant, rank profile, inverse of a mod p matrix.