7th Finite Fields Symposium

Toulouse (France)
May 5 - 9, 2003

Program

(last modification 2003, may 4th)
Sunday, May 4
17:00-18:00 Registration

18:00 Welcome coktail

Invited talks :1 hour, plus  15 minutes for questions
Other talks :20 minutes, plus 5 minutes  for questions
Coffe break :20 minutes

Monday, May 5

7:30-8:30 Registration

8:30-9:00 Opening by Dr. Gary Mullen

Invited talk (1) introduced by Steve D. Cohen
9:00-10:15 - Codes and designs on Grassmannian spaces
C. Bachoc
10:15-10:35  Coffee break
Session A. Chairman : Steve D. Cohen
10:40-11:05 - Some towers of algebraic function fields
H. Stichtenoth
11:05-11:30 - Artin-Schreier curves and weights of 2D-cyclic codes
C. Guneri
11:30-11:55 - Cyclicity of generalized Galois rings
S. Gonzales, V.T. Markov, C. Martinez, A.A. Nechaev, I.F. Rua
11:55-12:20 - On difference sets in the Galois ring GR(p^2,m) and their Gray map image4
H. Tapia Recilas
lunch
Invited talk (2) introduced by Gary Mullen
14:00-15:15 - Primitive polynomials over small fields : a p-adic method
S.D. Cohen
15:15-15:35 Coffee break
Session B. Chairman : Gary Mullen
15:40-16:05 - Irreducible polynomials over a finite field that are invariant under linear fractional transformations
R.W. Fitzgerald
16:05-16:30 - Transformation de Fourier discrete, codes algebriques et equations de Cauchy
Ramamonjy Andriamifidisoa
16:30-16:55 - Irreducible polynomials over GF(2) with prescribed coefficients
J. Yucas, G. Mullen
16:55-17:20 - The least period of the ratio sequence
J.Eurico Nogueira

Tuesday, May 6
8:00-8:45 Registration
Invited talk (3) introduced by Dieter Jungnickel
8:45-10:00 - Exceptional polynomials over finite fields
M. Zieve
10:00-10:20 Coffee break
Session C. Chairman : Dieter Jungnickel
10:25-10:50 - On the autocorrelation of Cyclotomic Generators
W. Meidl, A. Winterhof
10:50-11:15 - Computational characterization of permutation polynomials
A. Masuda, D. Panario, S. Wang
11:15-11:40 - Permutation polynomials over finite fields for the spectral shaping of ultra-wideband systems
C.J. Corrada Bravo, R. Scholtz
11:40-12:05 - Cyclic decomposition of permutations of finite filds obtained using monomials and application to Turbo codes
I. Rubio, C.J. Corrada Bravo
lunch
Invited talk (4) introduced by Harald Niederreiter
14:00-15:15 - Recent results on permutation decoding
J. Key
15:15-15:35 Coffee break
Session D. Chairman : Harald. Niederreiter
15:40-16:05 - Some classes of cyclic codes over Z_4
G. Vega, J. Wolfman
16:05-16:30 - Projections of binary linear codes onto larger fields
J.L. Kim, K.E. Mellinger, V. Pless
16:30-16:55 - MDS codes, n-arcs  and complete designs
Vladimir D. Tonchev
16:55-17:20 - Optimal near MDS codes
F. Pambianco
17:20-17:45 - Subfieds of the function field of the Deligne-Lusztig curve of Ree type
E.Cakcak, F. Ozbudak

Thursday, May 8
 
Invited talk (5) introduced by Claude Carlet
8:45-10:00 - What do random polynomials over finite fields look like ?
D. Panario
10:00-10:20 Coffee break
Session E. Chairman : Claude Carlet
10:25-10:50 - Weight hierarchy of hermitian codes and common zeros of polynomial sets
D. Ramirez Alzola
10:50-11:15 - Construction of matrices over finite fields with no singular square sub-matrices
J. Lacan, J. Fimes
11:15-11:40 - Linear codes meeting the Griesmer bound, and minihypers and blocking sets in finite projective spaces
L. Storme, S. Ferret, P. Sziklai, Z.Weiner
11:40-12:05 - On the covering radius of primitive ternary BCH codes
R. Franken, S.D. Cohen
lunch
Invited talk (6) introduced by Horacio Tapia-Recillas
14:00-15:15 - Combinatorics of the two-variable zeta function
I. Duursma
15:15-15:35 Coffee break
Session F. Chairman : Horacio Tapia-Recillas
15:40-16:05 - Extending Public-key cryptosystems to GF(p^10)
Luciane Quoos, S.F. Mjölsne
16:05-16:30 - Some computational aspects of cryptosystems based on the family of curves Y^3=gX^5+d, over F_p
R. Blache, J.P. Cherdieu, J.E. Sarlabous
16:30-16:55 - Unrestricted Nonlinearity of S-boxes in Stream Ciphers
C. Carlet, E. Prouff
16:55-17:20 - Linear transformation shift registers
M. Dewar, D. Panario
17:20-17:45 - Primitive free cubics and quartics with specified norm and trace
S. Huczynska
Conference dinner
Friday, May 9
 
Invited talk (7) introduced by Henning Stichtenoth
8:45-10:00 - Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyper-elliptic curves
P. Gaudry
10:00-10:20 Coffee break
Session G. Chairman : Henning Stichtenoth
10:25-10:50 - On a characterization of certain maximal curves
Arnaldo Garcia
10:50-11:15 - The Weierstrass semigroup of an m-tuple of collinear points on a Hermitian curve
Gretchen Matthews
11:15-11:40 - On the genera of subfiels of the hermitian function field
M. Abdon
11:40-12:05 - Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences
G. Dorfer
lunch
Invited talk (8) introduced by Vladimir D. Tonchev
14:00-15:15 - Authentication Codes from Error Correcting Codes
C. Ding
15:15-15:35 Coffee break
Session H. Chairman : Vladimir D. Tonchev
15:40-16:05 - Pencils of Quadractic forms over finite field
R. W. Fitzgerald, J. L. Yucas
16:05-16:30 - Mutually unbiased bases
A. Klappenecker, M. Rotteler
16:30-16:55 - On the stabilizers of homogeneous Bent functions in the Affine Group
Ch. Charnes, M. Roetteler, Th. Beth
16:55-17:20 - Value sets of polynomials and the Cauchy Davenport theorem
P. Das
17:20-17:45 - Optimal optical orthogonal codes and cyclic Steiner  2-designs with the use of finite fields
M. Buratti