PUBLICATIONS

2005 Works in progress

Counting Boolean functions of degree 4
Counting Bent functions
Intercorrelation of pair of sequences with nobody
Conjecture of Patterson & Wiedemann with Julien Bringer
Weight distribution of RM(3,10) with Eric Brier
Quadratic Gauss sums, with O. Mbodj.
Sequences of type 2-1, with C. Boursier.
H-codes and derivations, with X.-D. Hou

2005 submitted

  On two-weight irreducible cyclic codes
WCC 5,  with Yves Aubry

  Exponential sums and Boolean functions,
bfca 05, Rouen,  with J. Bringer, V. Gillot

2004

Non-Linearity of Power function, to appear dcc, with P. Véron.

  Finite groups and highly non-linear boolean functions, to appear, with J.-P. Zanotti.

2003

Classification of Boolean cubic forms of nine variables,
IEEE-Workshop,  with Eric Brier

2002

Around the counter example of Paterson and Wiedemann,
Finite Fields,  with J.-P. Zanotti

2000

Z4-duadic Codes, with P. Solé

Gauss sums over quasi-Frobenius rings, Finite Fields,  withP. Solé

1999

Les sommes de caractères et la formule de Poisson dans la théorie des codes,
séquences et fonctions booléennes. Mémoire d'habilitation à diriger des recherches.

1998

Weight of abelian codes.  Designs, Codes and Cryptography.

Fonction booléennes équilibrés (ii), Technical Report., with P. Véron and J.-P. Zanotti.

Kernels and defaults. Finite Fields 5,  with P. Solé.

Sur un théorème de Delsarte et McEliece , Research Report I3S.

Sommes de gauss sur un anneau local, Research Reprort  I3S.

Post-thesis 1993-97

Construction of almost perfect sequences., prc-math-info.

Some sequences with good autocorrelation properties, Finite Fields 3.

Regular section groups, Finite Fields.

Linear codes with balanced weight distribution, AAECC, with J.-P. Zanotti.

A new class of two weight codes, Finite Fields 4.

Calcul de certaines sommes de gauss, JNT.

Fonction booléennes équilibrés (ii), Technical Report., with J.-P. Zanotti.

Results on bent functions. JCT, with X.-D. Hou.

Thesis 1990-1992

The covering radius of r(1,9) in r(3,9).  Eurocode 90.

On the orphans and covering radius of the reed-muller codes, AAECC 9.

Rayon de recouvrement des codes de Reed-Muller affines, PhD thesis.

On generalized bent functions, Eurocode 92.

Almost perfect sequences. AAECC.

Philippe Langevin 
 
 
 

References

1

 HOU X.-D., LANGEVIN PH. Results on bent functions.

Journal of Combinatorial Theory (A),

80(2):232-246,

1997.

2

 HOU X.-D., LANGEVIN PH. H-code and derivations.

soumis, xxx(xxx):xxx,

1999.

3

 LANGEVIN PH.

The covering radius of r(1,9) in r(3,9).

In Eurocode 90, volume 514, pages 51-61.

Springer-Verlag, 1990.

4

 LANGEVIN PH.

On the orphans and covering radius of the reed-muller codes.

In AAECC 9, volume 539, pages 234-240,

1991.

5

 LANGEVIN PH.

On generalized bent functions.

In Eurocode 92, volume 339, pages 147-157,

1992.

6

 LANGEVIN PH.

Rayon de recouvrement des codes de Reed-Muller affines,

PhD thesis,

Université de Limoges, 1992.

7

 LANGEVIN PH.

Almost perfect sequences.

Applicable Algebra in Engineering, Communication and Computing,

4:95-102,

1993.

8

 LANGEVIN PH.

Construction of almost perfect sequences.

In Complexité, Codage, Compression Cryptographie,

volume xxx, pages 175-185,

1993.

9

 LANGEVIN PH.

Some sequences with good autocorrelation properties.

In Finite Fields, volume 168, pages 175-185,

1994.

10

 LANGEVIN PH.

Regular section groups.

Finite Fields and their Applications, 1(4):405-412,

1995.

11

 LANGEVIN PH.

A new class of two weight codes.

In Finite Fields and Applications,

volume 233, pages 181-187. Cambridge, university press,

1996.

12

 LANGEVIN PH.

Calcul de certaines sommes de gauss.

Journal of Number Theory, 62:59-64,

1997.

13

 LANGEVIN PH.

Sommes de gauss sur un anneau local.

Research  Report I3S RR 98-26.

1998.

14

 LANGEVIN PH.

Sur un théorème de Delsarte et  McEliece .

Research Report I3S RR 98-10.

1998.

15

 LANGEVIN PH.

Weight of abelian codes.

Designs, Codes and Cryptography,

14(3):239-247, 1998.

16  LANGEVIN PH., SOLE P.

Kernels and defaults.

Finite Fields Theory Applications and Algorithms,

AMS vol 225, pages 77--87.

1998.

17  LANGEVIN PH., VERON P., ZANOTTI J.P.

Fonction booléennes équilibrés (ii).

SCSSI Technical Report,

1998.

18  LANGEVIN PH., ZANOTTI J.P.

Linear codes with balanced weight distribution.

Applicable Algebra in Engineering, Communication and Computing,

6(4-5):299-307,

1995.

19  LANGEVIN PH., ZANOTTI J.P.

Fonction booléennes équilibrés (i).

SCSSI Technical Report,1996.

20  LANGEVIN PH,

Les sommes de carcatères et la formule de Poisson

dans la théorie des codes, séquences   et  fonctions booléennes.

Mémoire d'habilitation à diriger des recherches,

170 pages, 1999.

21 LANGEVIN PH, SOLE P.,

              Gauss sums over quasi-Frobenius rings,

               proceedings of the fith international conference on finite fields and applications Fq5

              Augsburg, Germany, pages 329--341.

               Springer, 2000

22  LANGEVIN PH, SOLE P.,

               Z4 duadic codes.

               Finite fields 6

               pages 309--326

               Finite Fields, 2000

  23 LANGEVIN PH, ZANOTTI J.-P

            Around the counter example of Paterson and Wiedemann

             proceedings of the sixth international conference on finite fields and applications Fq6

              pages

             Oxaca, Mexico , May 2002. http://www.iztapalapa.uam.mx/fq6/

  24  BRIER Eric, LANGEVIN Philippe

                Classification of Boolean cubic forms of nine variables

            2003 IEEE INFORMATION THEORY WORKSHOP

            pages

            "La Sorbonne", Paris, France, Spring 2003

            http://itw2003.enst.fr/program.html