Gaetan Bisson Full Professor of MathematicsUniversity of French Polynesia

Présentation

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

Publications

Article dans une revue (10)

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
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
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
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
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

Communication dans un congrès (4)

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
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
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

Ouvrages (2)

Publications mathématiques de Besançon Gaetan Bisson,Philippe Lebacque,Roger Oyono , 2024, 2024, 2-38549-112-5 Ouvrages hal-04787757v1
Arithmetic, Geometry, Cryptography and Coding Theory Gaetan Bisson,Stéphane Ballet,Irene Bouw American Mathematical Society, 770, 2021, Contemporary Mathematics Ouvrages hal-03371878v1

Pré-publication, Document de travail (1)

Regev's attack on hyperelliptic cryptosystems Razvan Barbulescu,Gaetan Bisson 2024 Pré-publication, Document de travail (preprint/prepublication) hal-04832839v1

Rapport (3)

Variations on the Expectation due to Changes in the Probability Measure Samir M. Perlaza,Gaetan Bisson RR-9592, Inria. 2025, pp.28 Rapport (rapport de recherche) hal-04969296v4
Proofs for Folklore Theorems on the Radon-Nikodym Derivative Yaiza Bermudez,Gaetan Bisson,Iñaki Esnaola,Samir M. Perlaza RR-9591, Inria. 2025 Rapport (rapport de recherche) hal-04969319v3
Empirical Risk Minimization with Relative Entropy Regularization Samir M. Perlaza,Gaetan Bisson,Iñaki Esnaola,Alain Jean-Marie,Stefano Rini [Research Report] RR-9454, Inria. 2022 Rapport (rapport de recherche) hal-03560072v7

Thèse (1)

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

HDR (1)

Contributions aux aspects effectifs des variétés abéliennes et à leurs applications Gaetan Bisson Mathématiques [math]. Université de la Polynésie française, 2023 HDR tel-04193136v1

Logiciel (1)

AVIsogenies Gaetan Bisson,Romain Cosset,Damien Robert 2021, ⟨swh:1:dir:05aed8deac96bfb9c122157e4db1d310423c7258;origin=https://hal.archives-ouvertes.fr/hal-03371897;visit=swh:1:snp:57482093ffd15cdb106b284e34b3f7f0813562aa;anchor=swh:1:rev:1f0f6ec99b2c46d1bdf2e1d68aa330d3249f0b1b;path=/⟩ Logiciel hal-03371897v1

Proceedings/Recueil des communications (1)

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