Publications HAL

2021/05 – On the number of effective divisors in algebraic function fields defined over a finite field

2021/02 Russian Mathematical Surveys – On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry

2020/06 – Blind Transfer of Personal Data Achieving Privacy

2019/06 – On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry

2017/11 Mathematics of Computation – Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm

2017/11 Applicable Algebra in Engineering, Communication and Computing – Hamming distances from a function to all codewords of a Generalized Reed-Muller code of order one

2017/09 IEEE Transactions on Computers – Optimization of Tree Modes for Parallel Hash Functions : A case study

2017/01 – Théorie de la mesure et de l’intégration – Cours et exercices corrigés

2016/01 Comptes rendus de l’Académie des sciences. Série I, Mathématique – Effective arithmetic in finite fields based on Chudnovsky’s multiplication algorithm

2015/06 – Géométrie projective

2015/01 Moscow Mathematical Journal – Lower Bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers.

2015/01 Journal of Pure and Applied Algebra – On the Number of Points of Algebraic Sets over Finite Fields

2015/01 Moscow Mathematical Journal – Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields

2014/01 Designs, Codes and Cryptography – On low weight codewords of generalized affine and projective Reed-Muller codes.

2014/01 – 13th International Symposium on Parallel and Distributed Computing ISPDC 2014, IEEE Computer Society, 2014

2013/04 – Randomnes in Cryptography

2013/04 – A Digital Signature Scheme Based on Two Hard Problems

2013/01 – Algebraic Informatics, 5th International Conference on Algebraic Informatics, CAI 2013

2012/05 – Cryptographie : principes et mises en oeuvre – 2e édition revue et augmentée

2012/01 Journal de Théorie des Nombres de Bordeaux – Lower bounds on the class number of algebraic function fields defined over any finite field. Journal de Théorie des nombres de Bordeaux.

2011/03 – L’emploi de la cryptographie pour la sécurisation des données sur clés USB

2011/01 Cryptography and Communications – Discrete Structures, Boolean Functions and Sequences – A note on a Yao’s theorem about pseudo-random generators.

2011/01 – On the tensor rank of multiplication in finite extensions of finite fields

2011/01 Comptes rendus hebdomadaires des séances de l’Académie des sciences – Minoration du nombre de classes des corps de fonctions algébriques définis sur un corps fini.

2011/01 Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres – Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound.

2010/09 – A Key Forwarding Protocol for Secure Communicating Systems

2010/01 Acta Arithmetica – On the existence of dimension zero divisors in algebraic function fields defined over Fq

2010/01 – Arithmetic, Geometry, Cryptography and Coding Theory 2009

2010/01 Acta Arithmetica – On the existence of dimension zero divisors in algebraic function fields defined over F_q.

2010/01 Cryptography and Communications – Discrete Structures, Boolean Functions and Sequences – The second weight of generalized Reed-Muller codes in most cases

2009/05 – L’ORGANISATION DE LA CRYPTOLOGIE MODERNE

2005/01 – On an application of the definition field descent of a tower of function fields

2005/01 – Cryptographie : Principes et mise en oeuvre

2000/04 Finite Fields and Their Applications – Group structure on projective spaces and cyclic codes over finite fields

1998/01 Journal of Pure and Applied Algebra – Codage & cryptage

1998/01 Journal of Pure and Applied Algebra – Polynômes homogènes à plusieurs variables sur un corps fini Fq qui s’annulent sur l’espace projectif Pm (Fq)