Pascal Giorgi

54 papers A 1B 13C 2Journal 30Unranked 6
YearRankTypeTitle / Venue / Authors
2026 J jnl
Oblivious Ciphertext Compression via Linear Codes.
IACR Cryptol. ePrint Arch.
Pascal Giorgi, Bruno Grenet, Mark Simkin
2026 J jnl
Threshold Niederreiter: chosen-ciphertext security and improved distributed decoding.
Des. Codes Cryptogr.
Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud
2025 J jnl
Threshold Niederreiter: Chosen-Ciphertext Security and Improved Distributed Decoding.
IACR Cryptol. ePrint Arch.
Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud
2024 A conf
Fast Secure Computations on Shared Polynomials and Applications to Private Set Operations.
ITC
Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud
2024 J jnl
Fast Secure Computations on Shared Polynomials and Applications to Private Set Operations.
IACR Cryptol. ePrint Arch.
Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud
2024 B conf
Fast interpolation and multiplication of unbalanced polynomials.
ISSAC
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2024 J jnl
Fast interpolation and multiplication of unbalanced polynomials.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2023 J jnl
Polynomial modular product verification and its implications.
J. Symb. Comput.
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2022 B conf
Random Primes without Primality Testing.
ISSAC
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2022 J jnl
Random primes in arithmetic progressions.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2022 J jnl
Random primes in arithmetic progressions.
IACR Cryptol. ePrint Arch.
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2022 J jnl
Random primes without primality testing.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2022 B conf
Sparse Polynomial Interpolation and Division in Soft-linear Time.
ISSAC
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2022 J jnl
Sparse polynomial interpolation and division in soft-linear time.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
2021 B conf
On Exact Division and Divisibility Testing for Sparse Polynomials.
ISSAC
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2021 J jnl
On exact division and divisibility testing for sparse polynomials.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2021 J jnl
Polynomial modular product verification and its implications.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2020 B conf
Essentially optimal sparse polynomial multiplication.
ISSAC
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2020 J jnl
Essentially optimal sparse polynomial multiplication.
CoRR
Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray
2020 B conf
Fast in-place algorithms for polynomial operations: division, evaluation, interpolation.
ISSAC
Pascal Giorgi, Bruno Grenet, Daniel S. Roche
2020 J jnl
Fast in-place algorithms for polynomial operations: division, evaluation, interpolation.
CoRR
Pascal Giorgi, Bruno Grenet, Daniel S. Roche
2019 — book
Efficient algorithms and implementation in exact linear algebra. (Algorithmes et implantations efficaces en algèbre linéaire exacte).
Pascal Giorgi
2019 B conf
Generic Reductions for In-place Polynomial Multiplication.
ISSAC
Pascal Giorgi, Bruno Grenet, Daniel S. Roche
2019 J jnl
Generic reductions for in-place polynomial multiplication.
CoRR
Pascal Giorgi, Bruno Grenet, Daniel S. Roche
2018 J jnl
A probabilistic algorithm for verifying polynomial middle product in linear time.
Inf. Process. Lett.
Pascal Giorgi
2018 B conf
Certification of Minimal Approximant Bases.
ISSAC
Pascal Giorgi, Vincent Neiger
2018 J jnl
Certification of minimal approximant bases.
CoRR
Pascal Giorgi, Vincent Neiger
2018 J jnl
Simultaneous Conversions with the Residue Number System Using Linear Algebra.
ACM Trans. Math. Softw.
Javad Doliskani, Pascal Giorgi, Romain Lebreton, Éric Schost
2016 — conf
Recursive Double-Size Fixed Precision Arithmetic.
ICMS
Alexis Breust, Christophe Chabot, Jean-Guillaume Dumas, Laurent Fousse, Pascal Giorgi
2014 — conf
Elements of Design for Containers and Solutions in the LinBox Library - Extended Abstract.
ICMS
Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet, B. David Saunders
2014 J jnl
Elements of Design for Containers and Solutions in the LinBox Library.
CoRR
Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet, B. David Saunders
2014 — conf
Generating Optimized Sparse Matrix Vector Product over Finite Fields.
ICMS
Pascal Giorgi, Bastien Vialla
2014 B conf
Online order basis algorithm and its impact on the block Wiedemann algorithm.
ISSAC
Pascal Giorgi, Romain Lebreton
2013 C conf
Parallel Modular Multiplication on Multi-core Processors.
IEEE Symposium on Computer Arithmetic
Pascal Giorgi, Laurent Imbert, Thomas Izard
2013 J jnl
Relaxing order basis computation.
ACM Commun. Comput. Algebra
Pascal Giorgi, Romain Lebreton
2012 J jnl
On Polynomial Multiplication in Chebyshev Basis.
IEEE Trans. Computers
Pascal Giorgi
2011 J jnl
Recursive double-size fixed precision arithmetic
CoRR
Christophe Chabot, Jean-Guillaume Dumas, Laurent Fousse, Pascal Giorgi
2010 J jnl
Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures
CoRR
Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi
2010 — conf
Exact sparse matrix-vector multiplication on GPU's and multicore architectures.
PASCO
Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi
2010 J jnl
On Polynomial Multiplication in Chebyshev Basis
CoRR
Pascal Giorgi
2009 — conf
Comparison of Modular Arithmetic Algorithms on GPUs.
PARCO
Pascal Giorgi, Thomas Izard, Arnaud Tisserand
2008 J jnl
Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages.
ACM Trans. Math. Softw.
Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet
2007 J jnl
Faster Inversion and Other Black Box Matrix Computations Using Efficient Block Projections
CoRR
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard
2007 B conf
Faster inversion and other black box matrix computations using efficient block projections.
ISSAC
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard
2007 J jnl
Formal proof for delayed finite field arithmetic using floating point operators
CoRR
Marc Daumas, Pascal Giorgi
2007 J jnl
Parallel computation of the rank of large sparse matrices from algebraic K-theory
CoRR
Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi, Anna Urbanska
2007 — conf
Parallel computation of the rank of large sparse matrices from algebraic K-theory.
PASCO
Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi, Anna Urbanska
2007 C conf
Subquadratic Binary Field Multiplier in Double Polynomial System.
SECRYPT
Pascal Giorgi, Christophe Nègre, Thomas Plantard
2006 J jnl
Dense Linear Algebra over Finite Fields: the FFLAS and FFPACK packages
CoRR
Jean-Guillaume Dumas, Thierry Gautier, Pascal Giorgi, Clément Pernet
2006 J jnl
Solving Sparse Integer Linear Systems
CoRR
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard
2006 B conf
Solving sparse rational linear systems.
ISSAC
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard
2004 — —
Arithmétique et algorithmique en algèbre linéaire exacte pour la bibliothèque LinBox. (Arithmetic and algorithmic in exact linear algebra for the LinBox library).
Pascal Giorgi
2004 B conf
FFPACK: finite field linear algebra package.
ISSAC
Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet
2003 B conf
On the complexity of polynomial matrix computations.
ISSAC
Pascal Giorgi, Claude-Pierre Jeannerod, Gilles Villard