Papers and preprints

 


[0.1] Co-Editor of the proceedings "Arithmetic, Geometry and Coding Theory", Société Mathématique de France, Collection "Séminaires et congrès", no. 11, 2005.
Here is a link to the AMS-Bookstore.

[0.2] Co-Editor of a special issue of the Springer journal Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, Volume 3, Number 4 / December 2011: content and guest editorial.

[0.3] Co-Editor of the proceedings of the 2011 conference Arithmetic, Geometry, Cryptography and Coding Theory, Contemporary Mathematics - Volume 574, American Mathematical Society 2012: content.


[1.1] Reed-Muller codes associated to projective algebraic varieties, Lecture Notes in Mathematics 1518, Coding Theory and Algebraic Geometry, 4-17 (1991) ; (pdf).

[1.2] Variétés sur un corps fini et codes géométriques algébriques, Ph.D. thesis of the University of Aix-Marseille II, France (11/02/1993), jury : Mireille Car, Patrick Delorme, Gilles Lachaud, Mireille Martin-Deschamps, François Rodier (referee), Mikhaïl Tsfasman (referee) and Jacques Wolfmann.

[1.3] A Weil theorem for singular curves, joint work with Marc Perret, Arithmetic, Geometry and Coding Theory - 1993, Walter de Gruyter, Berlin-New York, 1-7 (1996) ; (pdf).

[1.4] Coverings of singular curves over finite fields, joint work with Marc Perret, Manuscripta Math.88, 467-478 (1995) ; (pdf).

[1.5] Class number in totally imaginary extensions of totally real function fields, Proceedings of the Third International Conference on Finite fields and Applications, Lecture Note Series of the London Mathematical Society, Cambridge University Press, 23-29 (1996) ; (pdf).

[1.6] Imaginary bicyclic biquadratic functions fields in characteristic two, joint work with Dominique Le Brigand, J. Number Theory 77, 36-50 (1999) ; (pdf).

[1.7] Variétés algébriques et corps de fonctions sur un corps fini, Habilitation à Diriger des Recherches (13/12/2002), jury : Gerhard Frey (referee), Gerard van der Geer (referee), Gilles Lachaud, Eric Reyssat, Philippe Satgé, Mikhaïl Tsfasman, Serge Vladut (referee) ; (pdf).

[1.8] Divisibility of zeta functions of curves in a covering, joint work with Marc Perret, Archiv der Mathematik 82 (2004) 205-213 ; (pdf).

[1.9] On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields, joint work with Marc Perret, Finite Fields and Their Applications 10/3 (2004) 412-431; (pdf).

[1.10] Class number in non Galois quartic and non abelian Galois octic function fields, Bulletin of the Greek Math. Soc., Vol. 52, 2006 (61-76) ; (pdf).

[1.11] On the weights of irreducible cyclic codes, joint work with Philippe Langevin, Book of Abstract of the Workshop on Coding and Cryptography, Bergen (Norway), pp 161-169 (2005); (pdf).

[1.12] On the weights of binary irreducible cyclic codes, joint work with Philippe Langevin, "Coding and Cryptography", Springer Lecture Notes in Computer Science,  volume 3969, pp 46-54 (2006); (pdf).

[1.13] On the semiprimitivity of cyclic codes, joint work with Philippe Langevin, Algebraic Geometry and its Applications, World Scientific, Series on Number Theory and its Applications, vol. 5, pp 284-293 (2008); (pdf).

[1.14] On some questions related to the Gauss conjecture for function fields, joint work with Régis Blache,  Journal of Number Theory 128 (2008), no. 7, 2053-2062; (pdf).

[1.15] Differentially 4-uniform functions, joint work with François Rodier, Comtemporary Math. 521, pp 1-8 (2010); (pdf).

[1.16] A few more functions that are not APN infinitely often, joint work with Gary McGuire and François Rodier,  Comtemporary Math. 518, pp  23-31 (2010); (pdf).

[1.17] Every triangle-free induced subgraph of the triangular lattice is $(5m,2m)$-choosable, joint work with Jean-Christophe Godin and Olivier Togni, submitted (2011) ; arXiv preprint.

[1.18] Vectorial solutions to list multicoloring problems on graphs, joint work with Jean-Christophe Godin and Olivier Togni, Advances and Applications in Discrete Mathematics, Volume 9, Number 2, pp 65-81 (2012) ; (pdf).

[1.19] Sur le nombre de points rationnels des variétés abéliennes et Jacobiennes sur les corps finis, joint work with Safia Haloui and Gilles Lachaud, C. R. Acad. Sci. Paris, Ser. I 350 (2012) 907–910 ;  (pdf).

[1.20] On the number of points on abelian and Jacobian varieties over finite fields, joint work with Safia Haloui and Gilles Lachaud, to appear in Acta Arithmetica (2012) ; arXiv preprint.

[1.21] On a conjecture of Helleseth, joint work with Philippe Langevin, submited (2012) ; arXiv preprint.


[2.1] Choosability of a weighted path and free-choosability of a cycle, joint work with Jean-Christophe Godin and Olivier Togni,  (2010); arXiv preprint.

[2.2] Extended core and choosability of a graph, joint work with Jean-Christophe Godin and Olivier Togni,  (2010); arXiv preprint.

[2.3] On the zeta function and the maximal number of points on curves over finite fields, joint work with Marc Perret, in preparation (2012).

[2.4] On the number of rational points on Prym varieties over finite fields, joint work with Safia Haloui and Gilles Lachaud, in preparation (2012).

 
[3.1] Algebraic geometric codes on surfaces, Conference at Eurocode, Udine (Italie), (1992) ; (pdf).

[3.2] Une formule de nombres de classes, Rapport de Recherche S.D.A.D. - C.N.R.S. ESA 6081, (1998-3).

[3.3] Principal imaginary bicyclic function fields, Rapport de Recherche S.D.A.D. - C.N.R.S. ESA 6081, (1998-4).

[3.4] An analogue of an Artin conjecture for zeta function of algebraic curves, joint work with Marc Perret, Prétirage de l'Institut de Mathématiques de Luminy no. 2002-25, (14 pages), (2002).

[3.5] Asymptotic theory of algebraic geometry codes, preprint 2008-05 of the "Institut de Mathématiques de Toulon" (2008).


[4.1] Zeta function of connected curves, conference in the Workshop "Computational Aspects of Algebraic Curves and Cryptography", University of Florida, march 3th-7th 2003 (G. Frey and H. Voelklein).