Finite field linear algebra subroutines. - Jean-Guillaume Dumas; Thierry Gautier; Clément Pernet (ISSAC, 2002)

LU based algorithms for characteristic polynomial over a finite field. - Clément Pernet; Zhendong Wan (SIGSAM Bull., 2003)

FFPACK: finite field linear algebra package. - Jean-Guillaume Dumas; Pascal Giorgi; Clément Pernet (ISSAC, 2004)

Efficient computation of the characteristic polynomial. - Jean-Guillaume Dumas; Clément Pernet; Zhendong Wan (ISSAC, 2005)

Computing the Kalman form - Clément Pernet; Aude Rondepierre; Gilles Villard (CoRR, 2005)

Adaptive Triangular System Solving. - Jean-Guillaume Dumas; Clément Pernet; Jean-Louis Roch (Challenges in Symbolic Computation Software, 2006)

Dense Linear Algebra over Finite Fields: the FFLAS and FFPACK packages - Jean-Guillaume Dumas; Thierry Gautier; Pascal Giorgi; Clément Pernet (CoRR, 2006)

Algèbre linéaire exacte efficace : le calcul du polynôme caractéristique. (Efficient exact linear algebra: computing the characteristic polynomial). - Clément Pernet (2006)

Faster algorithms for the characteristic polynomial. - Clément Pernet; Arne Storjohann (ISSAC, 2007)

Memory efficient scheduling of Strassen-Winograd's matrix multiplication algorithm - Jean-Guillaume Dumas; Clément Pernet; Wei Zhou (CoRR, 2007)

Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. - Jean-Guillaume Dumas; Pascal Giorgi; Clément Pernet (ACM Trans. Math. Softw., 2008)

Memory efficient scheduling of Strassen-Winograd's matrix multiplication algorithm. - Brice Boyer; Jean-Guillaume Dumas; Clément Pernet; Wei Zhou (ISSAC, 2009)

On finding multiplicities of characteristic polynomial factors of black-box matrices. - Jean-Guillaume Dumas; Clément Pernet; B. David Saunders (ISSAC, 2009)

LinBox Founding Scope Allocation, Parallel Building Blocks, and Separate Compilation. - Jean-Guillaume Dumas; Thierry Gautier; Clément Pernet; B. David Saunders (ICMS, 2010)

Output-sensitive decoding for redundant residue systems. - Majid Khonji; Clément Pernet; Jean-Louis Roch; Thomas Roche; Thomas Stalinski (ISSAC, 2010)

Efficient Decomposition of Dense Matrices over GF(2) - Martin R. Albrecht; Clément Pernet (CoRR, 2010)

Efficient Dense Gaussian Elimination over the Finite Field with Two Elements - Martin R. Albrecht; Gregory V. Bard; Clément Pernet (CoRR, 2011)

Sparse polynomial interpolation and Berlekamp/Massey algorithms that correct outlier errors in input values. - Matthew T. Comer; Erich L. Kaltofen; Clément Pernet (ISSAC, 2012)

Computational linear algebra over finite fields - Jean-Guillaume Dumas; Clément Pernet (CoRR, 2012)

On the decoding of quasi-BCH codes - Morgan Barbier; Clément Pernet; Guillaume Quintin (CoRR, 2012)

Computational linear algebra over finite fields. - Jean-Guillaume Dumas; Clément Pernet (Handbook of Finite Fields, 2013)

Simultaneous computation of the row and column rank profiles. - Jean-Guillaume Dumas; Clément Pernet; Ziad Sultan (ISSAC, 2013)

Rank-profile revealing Gaussian elimination and the CUP matrix decomposition. - Claude-Pierre Jeannerod; Clément Pernet; Arne Storjohann (J. Symb. Comput., 2013)

High Performance and Reliable Algebraic Computing. (Calcul Algébrique Fiable et Haute Performance). - Clément Pernet (2014)

Parallel Computation of Echelon Forms. - Jean-Guillaume Dumas; Thierry Gautier; Clément Pernet; Ziad Sultan (Euro-Par, 2014)

Elements of Design for Containers and Solutions in the LinBox Library - Extended Abstract. - Brice Boyer; Jean-Guillaume Dumas; Pascal Giorgi; Clément Pernet; B. David Saunders (ICMS, 2014)

Sparse polynomial interpolation codes and their decoding beyond half the minimum distance. - Erich L. Kaltofen; Clément Pernet (ISSAC, 2014)

Elements of Design for Containers and Solutions in the LinBox Library. - Brice Boyer; Jean-Guillaume Dumas; Pascal Giorgi; Clément Pernet; B. David Saunders (CoRR, 2014)

Sparse Polynomial Interpolation Codes and their decoding beyond half the minimal distance. - Erich L. Kaltofen; Clément Pernet (CoRR, 2014)

Computing the Rank Profile Matrix. - Jean-Guillaume Dumas; Clément Pernet; Ziad Sultan (ISSAC, 2015)

Exact Linear Algebra Algorithmic: Theory and Practice. - Clément Pernet (ISSAC, 2015)

Computing with Quasiseparable Matrices. - Clément Pernet (ISSAC, 2016)

Recursion based parallelization of exact dense linear algebra routines for Gaussian elimination. - Jean-Guillaume Dumas; Thierry Gautier; Clément Pernet; Jean-Louis Roch; Ziad Sultan (Parallel Comput., 2016)

Certificates for Triangular Equivalence and Rank Profiles. - Jean-Guillaume Dumas; David Lucas 001; Clément Pernet (ISSAC, 2017)

Early Termination in Parametric Linear System Solving and Rational Function Vector Recovery with Error Correction. - Erich L. Kaltofen; Clément Pernet; Arne Storjohann; Cleveland Waddell (ISSAC, 2017)

Fast computation of the rank profile matrix and the generalized Bruhat decomposition. - Jean-Guillaume Dumas; Clément Pernet; Ziad Sultan (J. Symb. Comput., 2017)

Symmetric Indefinite Triangular Factorization Revealing the Rank Profile Matrix. - Jean-Guillaume Dumas; Clément Pernet (ISSAC, 2018)

Interactive Certificates for Polynomial Matrices with Sub-Linear Communication. - David Lucas 001; Vincent Neiger; Clément Pernet; Daniel S. Roche; Johan Rosenkilde (CoRR, 2018)

Time and space efficient generators for quasiseparable matrices. - Clément Pernet; Arne Storjohann (J. Symb. Comput., 2018)

Poster: Proofs of Retrievability with Low Server Storage. - Michael Hanling; Gaspard Anthoine; Jean-Guillaume Dumas; Aude Maignan; Clément Pernet; Daniel S. Roche (CCS, 2019)

LU Factorization with Errors. - Jean-Guillaume Dumas; Joris van der Hoeven; Clément Pernet; Daniel S. Roche (ISSAC, 2019)

Secure Multiparty Matrix Multiplication Based on Strassen-Winograd Algorithm. - Jean-Guillaume Dumas; Pascal Lafourcade 001; Julio López Fenner; David Lucas 001; Jean-Baptiste Orfila; Clément Pernet; Maxime Puys (IWSEC, 2019)

Improving the Complexity of Block Low-Rank Factorizations with Fast Matrix Arithmetic. - Claude-Pierre Jeannerod; Théo Mary; Clément Pernet; Daniel S. Roche (SIAM J. Matrix Anal. Appl., 2019)

Hermite Rational Function Interpolation with Error Correction. - Erich L. Kaltofen; Clément Pernet; Zhi-Hong Yang (CASC, 2020)

On fast multiplication of a matrix by its transpose. - Jean-Guillaume Dumas; Clément Pernet; Alexandre Sedoglavic (ISSAC, 2020)

Elimination-based certificates for triangular equivalence and rank profiles. - Jean-Guillaume Dumas; Erich L. Kaltofen; David Lucas 001; Clément Pernet (J. Symb. Comput., 2020)

Hermite Interpolation With Error Correction: Fields of Zero or Large Characteristic and Large Error Rate. - Erich L. Kaltofen; Clément Pernet; Zhi-Hong Yang (ISSAC, 2021)

Computing the Characteristic Polynomial of Generic Toeplitz-like and Hankel-like Matrices. - Pierre Karpman; Clément Pernet; Hippolyte Signargout; Gilles Villard (ISSAC, 2021)

Dynamic proofs of retrievability with low server storage. - Gaspard Anthoine; Jean-Guillaume Dumas; Mélanie de Jonghe; Aude Maignan; Clément Pernet; Michael Hanling; Daniel S. Roche (USENIX Security Symposium, 2021)

VESPo: Verified Evaluation of Secret Polynomials. - Jean-Guillaume Dumas; Aude Maignan; Clément Pernet; Daniel S. Roche (CoRR, 2021)

Deterministic computation of the characteristic polynomial in the time of matrix multiplication. - Vincent Neiger; Clément Pernet (J. Complex., 2021)

Verification protocols with sub-linear communication for polynomial matrix operations. - David Lucas 001; Vincent Neiger; Clément Pernet; Daniel S. Roche; Johan Rosenkilde (J. Symb. Comput., 2021)

Exact computations with quasiseparable matrices. - Clément Pernet; Hippolyte Signargout; Gilles Villard (ISSAC, 2023)

Some fast algorithms multiplying a matrix by its adjoint. - Jean-Guillaume Dumas; Clément Pernet; Alexandre Sedoglavic (J. Symb. Comput., 2023)

VESPo: Verified Evaluation of Secret Polynomials (with application to dynamic proofs of retrievability). - Jean-Guillaume Dumas; Aude Maignan; Clément Pernet; Daniel S. Roche (Proc. Priv. Enhancing Technol., 2023)

Strassen's algorithm is not optimally accurate. - Jean-Guillaume Dumas; Clément Pernet; Alexandre Sedoglavic (ISSAC, 2024)

Computing Krylov iterates in the time of matrix multiplication. - Vincent Neiger; Clément Pernet; Gilles Villard (ISSAC, 2024)

High-order lifting for polynomial Sylvester matrices. - Clément Pernet; Hippolyte Signargout; Gilles Villard (J. Complex., 2024)

A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications. - Jean-Guillaume Dumas; Clément Pernet; Alexandre Sedoglavic (CoRR, 2025)

Towards automated generation of fast and accurate algorithms for recursive matrix multiplication. - Jean-Guillaume Dumas; Clément Pernet; Alexandre Sedoglavic (CoRR, 2025)