Les travaux du Grim
2001-2005

Article dans une revue internationale

Class number in non Galois quartic and non abelian
Galois octic function fields over finite fields
Yves Aubry.
Bulletin of the Greek Math. Soc., to appear (2005)

Non-Linearity of Power function
Ph. Langevin, P. V?on.
Designs, Codes and Cryptography, 37 (1) , pp 31 - 43 (2005)

Finite groups and highly non-linear boolean functions,
Ph. Langevin,  J-P. Zanotti.
Designs, Codes and Cryptography, to appear (2005)

Proof of conjectures on the true dimension of some binary Goppa Codes,
P. V?on.
Designs, Codes and Cryptography, to appear (2005)

 Are 2-weight projective  cyclic codes  irreducible ?
 J. Wolfmann
 IEEE Trans. Inform. Theory, vol 51, pp.733-737,  ( 2005 ). 

Divisibility of zeta functions of curves in a covering
Yves Aubry, Marc Perret.
Archiv der Math, 82, 205-213 (2004)

On the characteristic polynomials of the Frobenius
endomorphism for projective curves over finite fields
Yves Aubry, Marc Perret.
 Finite Fields and Their Applications 10, 412-431 (2004)

Some families of Z4-cyclic codes
G. Vega,  J. Wolfmann
 Finite Field and Their Applications, 10, pp 530-539, ( 2004 ). 

True Dimension of Some Quadratic Binary Trace Goppa Codes,
P. V?on.
Designs, Codes and Cryptography,  vol. 24 no. 1, pp. 81-97, (2001).

Binary Images of  Cyclic Codes over Z₄
J. Wolfmann
 IEEE Trans. Inform. Theory, vol. 47, pp. 1773-1779, ( 2001 ) .

Article de proceedings

Exponential sums and Boolean functions,
J. Bringer, V. Gillot, Ph. Langevin
BFCA 05, to appear (2005)

Around the counter example of Paterson and Wiedemann,
Ph. Langevin, J.-P. Zanotti
Finite Fields  Fq6, pp 214--229  ( 2002 )

Gauss sums over quasi-Frobenius rings
Ph. Langevin, P. Sole
Finite fields Fq5,  pp 329--341 ( 2001 )

Communications dans des colloques internationaux

Cyclic codes with few different weights.

Y. Aubry, Ph. Langevin

September 2005, Marseille, AGCT-10, cirm-Luminy.

Monomial bent functions.

G. Leander, Ph. Langevin

September 2005, Marseille, AGCT-10, cirm-Luminy.

Monomial bent functions.

G. Leander, Ph. Langevin

July  2005,  Manille, ICCC workshop, UP Diliman.

On the weight of irreducible cyclic codes
Yves Aubry, Ph. Langevin
Workshop on Coding and Cryptography, Bergen (Norway) pp 161--169, (2005)

Exponential sums and Boolean functions,
J. Bringer, V. Gillot, Ph. Langevin
BFCA, Rouen 7-9 March 2005
pp 77--87, (2005)

New results on 2-weight projective cyclic codes
J. Wolfmann
Workshop on Coding Theory and  Cryptography , Bergen (Norv?e), Mars  2005.

G?m?rie alg?rique et borne de Gilbert-Varshamov
Y. Aubry
Ecole internationale Codes correcteurs d'erreurs et cryptographie, Dakar (S??al) Mars 2004.
conf?encier  invit?

Non linearity of some Paterson-Wiedemann type functions,
J. Bringer
YACC, Porquerolles, june 2004

Zeta functions of connected curves over finite fields
Y. Aubry
 Workshop Computational aspects of algebraic curves and cryptography Floride (USA) Mars 2003.

Zeta functions and bounds "a la Weil"
Y. Aubry
Colloque Arithmetic, Geometry and Coding Theory - IX, Marseille (France), Mai 2003

Classification of Boolean cubic forms of nine variables,
E. Brier, Ph. Langevin
IEEE information theory workshop
"La Sorbonne", Paris, France, pp 214--219  ( 2003 )

WMUG : WaterMark Under Graph
J. Folli, C. Nguyen
GRETSI 2003, Traitement du signal et des images, 19ieme colloque, vol. II, page 283 (sept. 2003)

Systemes de fichiers distribues securises
P. V?on
JRES'03, pp. 211-226  ( 2003)

Some classes of  cyclic codes over Z4
G. Vega,  J. Wolfmann
Finite Fields and their Applications 7, Toulouse (France),  Mai  2003. 

Nonlinearity of power functions
Ph. Langevin
YACC, Porquerolles (France), June 2002.

Bent Functions as polynomials over Z4
J. Wolfmann
SIAM Conference  on Discrete Mathematics, San Diego (USA), ao? 2002

Divisibility of zeta functions in a covering of curves
Y. Aubry
Colloque Arithmetic, Geometry and Coding Theory - VIII, Marseille (France), mai 2001

Number of rational points of connected pojective algebraic curves
Y. Aubry
Sixth International Conference on Finite Fields and Applications, Oaxaca (Mexique), Mai 2001.

About the counter-example of Patterson et Wiedeman
Ph. Langevin
conference FQ6,  Oaxaca, ( Mexico ) 21 -- June 2001.

Proof of conjectures on the true dimension of some binary Goppa Codes
P. V?on.
Sixth International Conference on Finite Fields and Applications, Oaxaca, Mexique, Mai 2001.

Binary cyclic codes which are Z4-cyclic codes
J. Wolfmann
I.E.E.E. International Symposium on Information Theory, Washington, USA,  juin 2001.

Some hightly non-linear Boolean functions
J.-P. Zanotti.
Sixth International Conference on Finite Fields and Applications, Oaxaca, Mexique, Mai 2001.

Contrats

Expertise et am?ioration d'un syst?e de chiffrement utilisant des codes correcteurs pour une EEPROM
P. Rabizzoni & Pascal V?on
contrat ﾫ STMicroelectronics ﾻ montant de 15 K€, 8 pages ( 2005 ).

Fonctions bool?nnes hautement non-lin?ires ?uilibr?s et codes cycliques quaternaires
V. Gillot, P. Rabizzoni & J. Wolfmann
contrat DCSSI, Service du chiffre, d'un montant de 145 KF, 128 pages ( 2001 ) .

Ouvrages

Cryptographie : des Concepts aux Applications
P. Barth?emy, R. Rolland, P. V?on
Editions Herm?, ?paraitre (2005).

Arithmetic, Geometry and Coding Theory
Yves Aubry, Gilles Lachaud
"S?inaires et congr?", Soci??Math?atique de France, ?paraitre (2005).