Connections

Description

Gaetan Bisson is a full professor of mathematics at the University of French Polynesia. His research interests are mathematical aspects of computer science, particularly connections between number theory and cryptography.

See his professional webpage for further information.

P1-16
01/09/2013
STS

Events

16
Mar
2026
Colloque international
Séminaire  SAGA² sur la géométrie algébrique et ses applications
Université de la Polynésie française –
+ Calendar 2026-03-16 09:00 2026-03-20 17:00 GMT-10 Séminaire  SAGA² sur la géométrie algébrique et ses applications Université de la Polynésie française
27
Jul
2026
Autre
The CIMPA School Criptografía post-cuántica algebraica y aplicaciones
Université de Santiago (Chili) –
+ Calendar 2026-07-27 09:00 2026-08-07 17:00 GMT-10 The CIMPA School Criptografía post-cuántica algebraica y aplicaciones Université de Santiago (Chili)

Projects

01
Jan
2025
Ongoing
Cryptography for everyone — Crypto4All. 2025–2027.
Roger Oyono
text
GAATI — Algebraic Geometry and Applications to Information Theory
01
Apr
2021
Ongoing
The MELODIA Project
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
01
Jan
2019
Completed
Constructing Cryptographically Secure Structures — C2S2.
Roger Oyono
text
GAATI — Algebraic Geometry and Applications to Information Theory

Scientific Productions

Conference paper
Démonstrations des théorèmes folkloriques sur la dérivée de Radon-Nikodym
GRETSI’25 - XXXe Colloque Francophone de Traitement du Signal et des Images, Aug 2025, Strasbourg, France
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2025
Article
Variations on the Expectation Due to Changes in the Probability Measure
Entropy, 2025, 27 (8), pp.865. ⟨10.3390/e27080865⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2025
Report
Variations on the Expectation due to Changes in the Probability Measure Variations de l’Espérance dues aux Changements de la Mesure de Probabilité
RR-9592, Inria. 2025, pp.28
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2025
Report
Proofs for Folklore Theorems on the Radon-Nikodym Derivative Démonstrations des théorèmes folkloriques sur la dérivée de Radon-Nikodym
RR-9591, Inria. 2025
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2025
Article
Iterative constructions of irreducible polynomials from isogenies
Finite Fields and Their Applications, 2024, 97, pp.102429. ⟨10.1016/j.ffa.2024.102429⟩
Roger Oyono
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2024
Book
Publications mathématiques de Besançon
, 2024, 2024, 2-38549-112-5
Roger Oyono
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2024
Article
Empirical Risk Minimization with Relative Entropy Regularization
IEEE Transactions on Information Theory, 2024, 70 (7), pp.5122-5161. ⟨10.1109/TIT.2024.3365728⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2024
Conference paper
On the Validation of Gibbs Algorithms: Training Datasets, Test Datasets and their Aggregation
ISIT 2023 - IEEE International Symposium on Information Theory, Jun 2023, Taipei, Taiwan. ⟨10.1109/ISIT54713.2023.10206506⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2023
HDR
Contributions aux aspects effectifs des variétés abéliennes et à leurs applications
Mathématiques [math]. Université de la Polynésie française, 2023
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2023
Article
On the vaccination threshold for Covid-19 in French Polynesia
Pacific Health, 2022, 5, ⟨10.24135/pacifichealth.v5i.59⟩
Gaetan Bisson
Gaetan Bisson
Roger Oyono
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2022
Conference paper
Empirical Risk Minimization with Relative Entropy Regularization: Optimality and Sensitivity Analysis
ISIT 2022 - IEEE International Symposium on Information Theory, Jun 2022, Espoo, Finland. pp.684-689, ⟨10.1109/ISIT50566.2022.9834273⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2022
Report
Empirical Risk Minimization with Generalized Relative Entropy Regularization Minimisation du Risque Empirique avec Régularisation par l’Entropie Relative Généralisée
[Research Report] RR-9454, Inria. 2022
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2022
Report
Empirical Risk Minimization with Generalized Relative Entropy Regularization Minimisation du Risque Empirique avec Régularisation par l’Entropie Relative Généralisée
[Research Report] RR-9454, Inria. 2022
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2022
Report
Empirical Risk Minimization with Relative Entropy Regularization Minimisation du Risque Empirique avec Régularisation par l’Entropie Relative
[Research Report] RR-9454, Inria. 2022
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2022
Software
AVIsogenies
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2021
Book
Arithmetic, Geometry, Cryptography and Coding Theory
American Mathematical Society, 770, 2021, Contemporary Mathematics
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2021
Conference paper
Isogeny Graphs and Endomorphism Rings of Ordinary Abelian Varieties
colloque international “L-functions and algebraic varieties”, Poncelet Scientific Center; Higher School of Economics, Feb 2018, Moscou, Russia
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2018
Article
Constructing Permutation Rational Functions from Isogenies
SIAM Journal on Discrete Mathematics, 2018, 32 (3), pp.1741-1749. ⟨10.1137/17M1135736⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2018
Article
On polarised class groups of orders in quartic CM-fields
Mathematical Research Letters, 2017, 24 (2), pp.247-270. ⟨10.4310/MRL.2017.v24.n2.a1⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2017
Article
Computing endomorphism rings of abelian varieties of dimension two
Mathematics of Computation, 2015, 84 (294), pp.1977-1989. ⟨10.1090/S0025-5718-2015-02938-X⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2015
PROCEEDINGS
Special issue on GEOCRYPT 2013
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⟩
Gaetan Bisson
Gaetan Bisson
Roger Oyono
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2014
Thesis
Endomorphism Rings in Cryptography
Computer Science [cs]. Institut National Polytechnique de Lorraine - INPL; Technische Universiteit Eindhoven, 2011. English. ⟨NNT : 2011INPL047N⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2011
Article
Computing endomorphism rings of elliptic curves under the GRH
Journal of Mathematical Cryptology, 2011, 5 (2), pp.101-113. ⟨10.1515/JMC.2011.008⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2011
Article
Computing the endomorphism ring of an ordinary elliptic curve over a finite field
Journal of Number Theory, 2011, Elliptic Curve Cryptography, 131 (5), pp.815--831. ⟨10.1016/j.jnt.2009.11.003⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2011
Article
A low-memory algorithm for finding short product representations in finite groups
Designs, Codes and Cryptography, 2011, ⟨10.1007/s10623-011-9527-8⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2011
Conference paper
More Discriminants with the Brezing-Weng Method
9th International Conference on Cryptology in India - INDOCRYPT 2008, Dec 2008, Khargapur, India. pp.389--399, ⟨10.1007/978-3-540-89754-5_30⟩
Gaetan Bisson
Gaetan Bisson
text
GAATI — Algebraic Geometry and Applications to Information Theory
Co-authors
2008