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Publications : |
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- Algebraic
cycles on the
Jacobian of a curve with a linear system of given dimension
Compositio Mathematica 143(4), 883-899. (2007) PDF file or arXiv
With Baohua Fu :
- On
the tautological ring of a Jacobian modulo rational equivalence
Geometriae Dedicata (2007) 129(1), 145-153
arXiv
With Pascal Veron :
- A public key cryptosystem based upon euclidean addition chains
Proceedings of SETA 2010, LNCS 6338, pp. 284-297, Sept. (2010)
PDF file
With Liardet Pierre-Yvan, Meloni Nicolas, Teglia Yannick & Veron Pascal (the Nicoteam) :
- Random Euclidean Addition Chain Generation and Its Apllication to Point Multiplication
Lecture Notes in Computer Science, 2010, Volume 6498/2010, 238-261 (Indocrypt 2010)
PDF file
With Yves Aubry :
- Differential uniformity and second order derivatives for generic polynomials
Journal of Pure and Applied Algebra, Volume 222, Issue 5 (2017)
PDF file
With Yssouf Dosso, Nicolas Meloni and Pascal Veron (the Nicoteam) :
- Euclidean Addition Chains Scalar Multiplication on Curves with Efficient Endomorphism
Journal of Cryptographic Engineering (JCEN), https://doi.org/10.1007/s13389-018-0190-0), (2018)
PDF File
With Yves Aubry and Felipe Voloch :
- Maximal Differential Uniformity Polynomials
Acta Arithmetica 188(4): 345-366 (2019)
PDF file and
Acta Arithmetica
With
Yves Aubry,
Elena
Berardini and Marc
Perret :
- Algebraic
geometry codes over abelian surfaces containing no absolutely
irreducible curves of low genus
Finite Fields and Their Applications, Volume 70, February 2021, 101791
PDF file and
arXiv file
With
Yves Aubry,
Elena
Berardini and Marc
Perret :
- Bounds
on the minimum distance of Algebraic Geometry Codes defined over
some families of surfaces
Arithmetic, Geometry, Cryptography and Coding theory (2019), Contemp. Math., Amer. Math. Soc
PDF file and
arXiv file
With Nicolas Meloni and Pascal Veron (the Nicoteam) :
- Compact variable base ECC scalar multiplication using Euclidean addition chains
18th International Conference on Security and Cryptography (SECRYPT 2021), Jul 2021, Online Event, Italy
PDF File
With
Yves Aubry and
Ali Issa
- Polynomials with maximal differential uniformity and the exceptional APN conjecture
Journal of Algebra (July 2023)
arXiv (July 2022)
In press
With
Yves Aubry and
Julien Monaldi
- Closed points on curves over finite fields
NEW
arXiv (Oct 2023)
PhD students :
-
Ali Issa
(2019-2022, co-supervised with Yves Aubry)
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Julien Monaldi
(2020-in progress, co-supervised with Yves Aubry)
Publications pédagogiques :
Avec Dany-Jack Mercier :
- Questions du jury d'oral du CAPES de mathématiques & réflexions sur la préparation, Publibook, (2010).
PUB
With Pascal Veron :
-
Partage d'un secret
Au Fil des Maths, revue de l'APMEP numéro 358 de Décembre 2020
PDF file
Thèse :
- Cycles algébriques sur la jacobienne d'une courbe ( PDF )
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