Research Area : Boolean complexity, Cryptography Algebraic Geometry and Arithmetic

List of Publications

Recent work on Boolean Complexity and cryptography :

Journals

On maximal QROBDD of Boolean functions, with Pierre Valarcher, Jean Baptiste Yunes à paraïtre dans la revue RAIRO en 2005.

Mahler’s expansion and boolean functions with Pierre Valarcher, Jean Baptiste Yunes, submitted to Journal of Integer Sequences (2005)

International workshops:

Automata and Binary Decision Diagrams, with Jean-Marc Champarnaud: Workshop on Implementing Automata 1998 (Rouen), LNCS 1660 (1999) p. 178-182.

HFE and BDDs : a practical try to cryptanalysis with Pierre Valarcher, Jean Baptiste Yunes, Workshop on Coding Cryptography and Combinatorics CCC2003 Huangshan (China) Progress in Computer Science and Applied Logic, Kegin Feng, Harald Niederreiter, Chaoping Xing (Eds) Birkhauser Verlag (Switzerland) 2004.

Old works on Arithmetic, Algebraic Geometry and Coding :

Some results appeared inside the book "Arithmétique des algèbres de quaternions" M-F Vignéras, Lect. Notes in Math. N°800 , 1980, p 121-126 .

Courbes de Shimura 1980-1981 Séminaire Delange Pisot Poitou (déc 1980)

Courbes de Shimura Hyperelliptiques - Bull Soc Math France 109, 1981, p.217-225

Codes de Goppa - Séminaire de Théorie des Nombres de Bordeaux Exposé N°7, 1983-1984

Remarques sur les codes géométriques - CR Acad. Sc. Paris t. 301, Série I, 1985 p.15-17.

Amelioration of the Mac Williams Sloane tables - in Coding Theory and applications, 2^nd Colloque internat. de Cachan, Ed. Cohen- Godlevski, LNCS n° 311, 1986. p. 96-105

Elliptic Codes over fields of characteristic 2 with Y. Driencourt J. of Pure and Applied Algebra 45 , 1987, 15-39.

Géométrie Algébrique et Codes in "Codes Correcteurs : Théorie et Applications", Poli et Huguet, Masson 1988, 301-318.

Codes and Curves, Proceedings of 6^th Int. Conf. AAECC 6, Roma July 1988, Ed T. Mora, LNCS, 357, Springer 1989, p.22-30.(Invited paper and conference )

Reliability applications and automata :

International workshops:

Methods for Partial Inversion of Matrices in Convolution Algebra : Application to Calculation of Unreliability and Availability in a Semi-Markov System, with N. Bigot, 2^nd International symposium on Semi Markov Models: Theory and Applications UTC Compiègne (1998) .

Graphs and Algebra of words : Application to Reliability, with N. Corbeaux,

Proceedings of the 4th International Conference on Probabilistic Safety Assessment and Management (PSAM), 13-18 September 1998, New York City, USA, Editors A. Mosleh, R.A. Bari, Springer (London), 1998.

Automates et Fiabilité , with N. Corbeaux, Eds Lydersen, S. / Hansen, G.K. / Sandtorv, H. - Proceedings of the ESREL '98 conference, Trondheim, Norway, 16-19 June 1998, Balkema editor, ISBN 9054109661