FFLASFFPACK is a LGPL2.1+ source code library for basic linear algebra operations over a finite field. It is inspired by the BLAS interface (Basic Linear Algebra Subprograms) and the LAPACK library for numerical linear algebra, and shares part of their design. Yet it differs in many aspects due to the specifities of computing over a finite field:
 it is generic with respect to the finite field, so as to accomodate a large variety of field sizes and implementations;
 consequently, all routines use the C++ template genericity and the library is primarily meant to be used as a source code library, to be included and compiled in the user's software.
 However, we also provide a compiled version instantiating all routines over the most common finite fields.
FFLAS
FFLAS (Finite Field Linear Algebra Subprograms) provides the implementation of a subset of routines of the numerical BLAS, with the prefix letter f
standing for finite field.

fgemm
: for the matrix multiplication of the formC = alpha . A x B + beta . C

ftrsm
: for the triangular system solving with matrix right/left hand side: solvingU x X = B
for an unknown matrix X. 
ftrmm
: for the multiplication of a triangular matrix with a rectangular matrix.X= U x B

fger
: for the outer product of two vectors:A = u x v^T + A
 ...
Recently FFLAS started to also provide support for sparse matrix operations, more specifically sparse matrix vector product, using various data storage schemes.
FFPACK
FFPACK (Finite Field Linear Algebra Package) is inspired by the LAPACK library to provide functionnalities of higher level, using the kernel of a BLAS. For the computations that are identical to the numerical linear algebra lirbary, the naming convention is kept:

fgetrs
: solving a linear system using a LU decomposition; 
ftrtri
: inverting a triangular matrix;  ...
However the library also provides many other routines, specific to exact linear algebra:

RowEchelonForm
: computing the row echelon form with or without the transformation matrix 
CharPoly, MinPoly
: computing the characteristic and minimal polynomials 
Det, Rank, NullSpaceBasis
: computing the determinant, the rank, a basis of the nullspace of a matrix.  ...
Downloads
 Released 30/07/2016 fflasffpack2.2.2
 Released 08/04/2016 fflasffpack2.2.1
 Released 24/02/2016 fflasffpack2.2.0
 Released 15/06/2015 fflasffpack2.1.0.tar.gz md5sum ChangeLog
 Released 08/08/2014 fflasffpackl2.0.0.tar.gz md5sum ChangeLog
 Released 07/06/2012 fflasffpack1.6.0.tar.gz md5sum ChangeLog
 Released 16/05/2012 flasffpack1.5.0.tar.gz md5sum ChangeLog
 Released 10/10/2011 fflasffpack1.4.3.tar.gz md5sum ChangeLog
You can also use clone the developer version on github: http://github.com/linboxteam/fflasffpack
Related Software
FFLASFFPACK depends on:
 the Givaro library for the implementations of finite fields, and a wrapping of GMP multiprecision integers;
 any implementation of a numerical BLAS library. We suggest using OpenBLAS on most of nowadays computers.
FFLASFFPACK is used by:
 the LinBox linear algebra library for its dense linear algebra kernel,
 the SageMath open source computer algebra software.
(feel free to contact us if you are using FFLASFFPACK and want your project to be cited here).
Authors and credits
Authors
The FFLASFFPACK group is formed by the following authors:
 Brice Boyer
 Alexis Breust
 JeanGuillaume Dumas
 Pascal Giorgi
 ClĂ©ment Pernet
 Ziad Sultan
 Bastien Vialla
Citing FFLASFFPACK
If your research depends on the FFLASFFPACK library, please consider citing the project as
@manual{fflasffpack,
title = {{FFLASFFPACK}: {F}inite {F}ield {L}inear {A}lgebra {S}ubroutines / {P}ackage},
author = {The FFLASFFPACK group},
edition = {v2.0.0},
year = {2014},
note = {\url{http://linalg.org/projects/fflasffpack}}
}
Or you may also consider citing the related research article:
@article{DGP:2008,
author = {JeanGuillaume Dumas and Pascal Giorgi and Cl{\'e}ment Pernet},
title = {Dense Linear Algebra over WordSize Prime Fields: the FFLAS and FFPACK Packages},
journal = {ACM Trans. on Mathematical Software (TOMS)},
volume = {35},
number = {3},
year = {2008},
issn = {00983500},
pages = {142},
doi = {10.1145/1391989.1391992},
publisher = {ACM Press},
address = {New York, NY, USA}
}
Contact
Use the ffpackdevel discussion group for communication (bug reports, installation questions, feature requests, reports of successful applications, ...).