PG

Pascal Giorgi

Professeur en informatique - Université de Montpellier
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Documents

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Publications

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Fast interpolation and multiplication of unbalanced polynomials

Pascal Giorgi , Bruno Grenet , Armelle Perret Du Cray , Daniel S Roche

ISSAC 2024 - International Symposium on Symbolic and Algebraic Computation, Jul 2024, Raleigh, NC, United States. pp.437-446, ⟨10.1145/3666000.3669717⟩

Communication dans un congrès lirmm-04746015v1
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Fast Secure Computations on Shared Polynomials and Applications to Private Set Operations

Pascal Giorgi , Fabien Laguillaumie , Lucas Ottow , Damien Vergnaud

ITC 2024 - 5th Information-Theoretic Cryptography Conference, Aug 2024, Stanford, CA, United States

Communication dans un congrès lirmm-04593144v1
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Random Primes without Primality Testing

Pascal Giorgi , Bruno Grenet , Armelle Perret Du Cray , Daniel S. Roche

ISSAC 2022 - 47th International Symposium on Symbolic and Algebraic Computation, Jul 2022, Lille, France. pp.207-215, ⟨10.1145/3476446.3536191⟩

Communication dans un congrès lirmm-03784821v1
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Sparse Polynomial Interpolation and Division in Soft-linear Time

Pascal Giorgi , Bruno Grenet , Armelle Perret Du Cray , Daniel S. Roche

ISSAC 2022 - 47th International Symposium on Symbolic and Algebraic Computation, Jul 2022, Lille, France. pp.459-468, ⟨10.1145/3476446.3536173⟩

Communication dans un congrès lirmm-03784815v1

On exact division and divisibility testing for sparse polynomials

Pascal Giorgi , Bruno Grenet , Armelle Perret Du Cray

ISSAC 2021 - 46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint-Pétersbourg, Russia. pp.163-170, ⟨10.1145/3452143.3465539⟩

Communication dans un congrès hal-03136945v1
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Essentially optimal sparse polynomial multiplication

Pascal Giorgi , Bruno Grenet , Armelle Perret Du Cray

ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.202-209, ⟨10.1145/3373207.3404026⟩

Communication dans un congrès hal-02476609v2
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Fast in-place algorithms for polynomial operations: division, evaluation, interpolation

Bruno Grenet , Daniel S. Roche , Pascal Giorgi

ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.210-217, ⟨10.1145/3373207.3404061⟩

Communication dans un congrès lirmm-02493066v3
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Generic reductions for in-place polynomial multiplication

Pascal Giorgi , Bruno Grenet , Daniel S. Roche

ISSAC 2019 - 44th International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China. pp.187-194, ⟨10.1145/3326229.3326249⟩

Communication dans un congrès lirmm-02003089v2
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Certification of minimal approximant bases

Pascal Giorgi , Vincent Neiger

ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.167-174, ⟨10.1145/3208976.3208991⟩

Communication dans un congrès hal-01701861v2
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Complex molecule synthesis made easy

Nelli Elizarov , Pascal Giorgi , Alexandra Yeromina , Sylvain Antoniotti

Université Côte d'Azur Complex Days, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France. pp.77-86

Communication dans un congrès hal-02014226v1
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Recursive double-size fixed precision arithmetic

Alexis Breust , Christophe Chabot , Jean-Guillaume Dumas , Laurent Fousse , Pascal Giorgi

ICMS: International Congress of Mathematical Software, Jul 2016, Berlin, Germany. pp.223--231, ⟨10.1007/978-3-319-42432-3_28⟩

Communication dans un congrès hal-00582593v2
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Online order basis algorithm and its impact on the block Wiedemann algorithm

Pascal Giorgi , Romain Lebreton

ISSAC 204 - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan. pp.202-209, ⟨10.1145/2608628.2608647⟩

Communication dans un congrès lirmm-01232873v1
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Generating Optimized Sparse Matrix Vector Product over Finite Fields

Pascal Giorgi , Bastien Vialla

ICMS: International Congress on Mathematical Software, Aug 2014, Séoul, South Korea. pp.685-690, ⟨10.1007/978-3-662-44199-2_102⟩

Communication dans un congrès lirmm-01275818v1
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Elements of Design for Containers and Solutions in the LinBox Library

Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet , B. David Saunders

ICMS: International Congress on Mathematical Software, Aug 2014, Seoul, South Korea. pp.654-662, ⟨10.1007/978-3-662-44199-2_98⟩

Communication dans un congrès hal-01015138v1
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Parallel modular multiplication on multi-core processors

Pascal Giorgi , Laurent Imbert , Thomas Izard

IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, TX, United States. pp.135-142, ⟨10.1109/ARITH.2013.20⟩

Communication dans un congrès hal-00805242v1
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Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures

Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

PASCO'10: 4th International Symposium on Parallel Symbolic Computation, Jul 2010, Grenoble, France. pp.80-88, ⟨10.1145/1837210.1837224⟩

Communication dans un congrès hal-00475185v1
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Optimizing Elliptic Curve Scalar Multiplication for Small Scalars

Pascal Giorgi , Laurent Imbert , Thomas Izard

Mathematics for Signal and Information Processing, 2009, San Diego, CA, United States. pp.74440N, ⟨10.1117/12.827689⟩

Communication dans un congrès lirmm-00424282v1
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Comparison of Modular Arithmetic Algorithms on GPUs

Pascal Giorgi , Thomas Izard , Arnaud Tisserand

ParCo'09: International Conference on Parallel Computing, France. pp.N/A

Communication dans un congrès lirmm-00424288v2
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Formal proof for delayed finite field arithmetic using floating point operators

Sylvie Boldo , Marc Daumas , Pascal Giorgi

8th Conference on Real Numbers and Computers, Jul 2008, Saint Jacques de Compostelle, Spain. pp.113-122

Communication dans un congrès hal-00135090v3
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Parallel computation of the rank of large sparse matrices from algebraic K-theory

Jean-Guillaume Dumas , Philippe Elbaz-Vincent , Pascal Giorgi , Anna Urbanska

PASCO '07 - International Workshop on Parallel Symbolic Computation, Jul 2007, London, Canada. pp.43-52, ⟨10.1145/1278177.1278186⟩

Communication dans un congrès hal-00142141v2
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Subquadratic Binary Field Multiplier in Double Polynomial System

Pascal Giorgi , Christophe Negre , Thomas Plantard

SECRYPT'2007: International Conference on Security and Cryptography,, Jul 2007, Barcelona, Spain. pp.229--236

Communication dans un congrès hal-00140082v1

FFPACK: finite field linear algebra package

Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet

International Symposium on Symbolic and Algebraic Computation (ISSAC'04), Jul 2004, Santander, Spain. pp.119-126, ⟨10.1145/1005285.1005304⟩

Communication dans un congrès hal-02018838v1
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Arithmétique et algorithmique en algèbre linéaire exacte pour la bibliothèque LinBox

Pascal Giorgi

Génie logiciel [cs.SE]. Ecole normale supérieure de lyon - ENS LYON, 2004. Français. ⟨NNT : ⟩

Thèse tel-00008951v1
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Efficient algorithms and implementation in exact linear algebra

Pascal Giorgi

Symbolic Computation [cs.SC]. Université de Montpellier, 2019

HDR tel-02360023v1