Gaetan Bisson

Full Professor of Mathematics University of French Polynesia
24
Documents
Affiliation actuelle
  • Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI)

Présentation

See Prof. Bisson's professional website for further information.

Publications

Publications

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Variations on the Expectation Due to Changes in the Probability Measure

Samir M. Perlaza , Gaetan Bisson

Entropy, 2025, 27 (8), pp.865. ⟨10.3390/e27080865⟩

Article dans une revue hal-05211105v1
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Empirical Risk Minimization with Relative Entropy Regularization

Samir M Perlaza , Gaetan Bisson , Iñaki Esnaola , Alain Jean-Marie , Stefano Rini

IEEE Transactions on Information Theory, 2024, 70 (7), pp.5122-5161. ⟨10.1109/TIT.2024.3365728⟩

Article dans une revue hal-03849748v4

Iterative constructions of irreducible polynomials from isogenies

Alp Bassa , Gaetan Bisson , Roger Oyono

Finite Fields and Their Applications, 2024, 97, pp.102429. ⟨10.1016/j.ffa.2024.102429⟩

Article dans une revue hal-04602748v1
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On the vaccination threshold for Covid-19 in French Polynesia

Gaetan Bisson , Roger Oyono

Pacific Health, 2022, 5, ⟨10.24135/pacifichealth.v5i.59⟩

Article dans une revue hal-03418625v1

Constructing Permutation Rational Functions from Isogenies

Gaetan Bisson , Mehdi Tibouchi

SIAM Journal on Discrete Mathematics, 2018, 32 (3), pp.1741-1749. ⟨10.1137/17M1135736⟩

Article dans une revue hal-02129542v1

On polarised class groups of orders in quartic CM-fields

Gaetan Bisson , Marco Streng

Mathematical Research Letters, 2017, 24 (2), pp.247-270. ⟨10.4310/MRL.2017.v24.n2.a1⟩

Article dans une revue hal-03371876v1

Computing endomorphism rings of abelian varieties of dimension two

Gaetan Bisson

Mathematics of Computation, 2015, 84 (294), pp.1977-1989. ⟨10.1090/S0025-5718-2015-02938-X⟩

Article dans une revue hal-03371877v1

A low-memory algorithm for finding short product representations in finite groups

Gaetan Bisson , Andrew V. Sutherland

Designs, Codes and Cryptography, 2011, ⟨10.1007/s10623-011-9527-8⟩

Article dans une revue inria-00560256v1

Computing endomorphism rings of elliptic curves under the GRH

Gaetan Bisson

Journal of Mathematical Cryptology, 2011, 5 (2), pp.101-113. ⟨10.1515/JMC.2011.008⟩

Article dans une revue inria-00560258v1

Computing the endomorphism ring of an ordinary elliptic curve over a finite field

Gaetan Bisson , Andrew V. Sutherland

Journal of Number Theory, 2011, Elliptic Curve Cryptography, 131 (5), pp.815--831. ⟨10.1016/j.jnt.2009.11.003⟩

Article dans une revue inria-00383155v1
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Démonstrations des théorèmes folkloriques sur la dérivée de Radon-Nikodym

Yaiza Bermudez , Gaetan Bisson , Iñaki Esnaola , Samir Perlaza

GRETSI’25 - XXXe Colloque Francophone de Traitement du Signal et des Images, Aug 2025, Strasbourg, France

Communication dans un congrès hal-05157449v1
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Empirical Risk Minimization with Relative Entropy Regularization: Optimality and Sensitivity Analysis

Samir M. Perlaza , Gaetan Bisson , Iñaki Esnaola , Alain Jean-Marie , Stefano Rini

ISIT 2022 - IEEE International Symposium on Information Theory, Jun 2022, Espoo, Finland. pp.684-689, ⟨10.1109/ISIT50566.2022.9834273⟩

Communication dans un congrès hal-03561396v2

Isogeny Graphs and Endomorphism Rings of Ordinary Abelian Varieties

Gaetan Bisson , Dimitar Jetchev

colloque international “L-functions and algebraic varieties”, Poncelet Scientific Center; Higher School of Economics, Feb 2018, Moscou, Russia

Communication dans un congrès hal-02129543v1
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More Discriminants with the Brezing-Weng Method

Gaetan Bisson , Takakazu Satoh

9th International Conference on Cryptology in India - INDOCRYPT 2008, Dec 2008, Khargapur, India. pp.389--399, ⟨10.1007/978-3-540-89754-5_30⟩

Communication dans un congrès inria-00337358v1
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Regev's attack on hyperelliptic cryptosystems

Razvan Barbulescu , Gaetan Bisson

2024

Pré-publication, Document de travail (preprint/prepublication) hal-04832839v1
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Endomorphism Rings in Cryptography

Gaetan Bisson

Computer Science [cs]. Institut National Polytechnique de Lorraine - INPL; Technische Universiteit Eindhoven, 2011. English. ⟨NNT : 2011INPL047N⟩

Thèse tel-01749554v2

Special issue on GEOCRYPT 2013

Stéphane Ballet , Gaetan Bisson , Roger Oyono , Renate Scheidler , Nicolas Thériault

GEOCRYPT 2013, Oct 2013, Punaauia, Tahiti (French Polynesia), France. 8 (4), American Institute of Mathematical Sciences (AIMS), pp.i - ii, 2014, Advances in Mathematics of Communications (AMC), ⟨10.3934/amc.2014.8.4i⟩

Proceedings/Recueil des communications hal-01259563v1