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Finite Fields and Applications

7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers

By: Gary L. Mullen (Editor), Alain Poli (Editor), Henning Stichtenoth (Editor)

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Paperback | 19 March 2004

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Thisvolumerepresentstherefereedproceedingsofthe7thInternationalC- ference on Finite Fields and Applications (F 7) held during May 5-9, q 2003, in Toulouse, France. The conference was hosted by the Pierre Baudis C- gress Center, downtown, and held at the excellent conference facility. This event continued a series of biennial international conferences on Finite Fields and - plications, following earlier meetings at the University of Nevada at Las Vegas (USA) in August 1991 and August 1993, the University of Glasgow (UK) in July 1995, the University of Waterloo (Canada) in August 1997, the Univ- sity of Augsburg (Germany) in August 1999, and the Universidad Aut´ onoma Metropolitana-Iztapalapa, in Oaxaca (Mexico) in 2001. The Organizing Committee of F 7 consisted of Claude Carlet (INRIA, Paris, q France), Dieter Jungnickel (University of Augsburg, Germany), Gary Mullen (Pennsylvania State University, USA), Harald Niederreiter (National University of Singapore, Singapore), Alain Poli, Chair (Paul Sabatier University, Toulouse, France), Henning Stichtenoth (Essen University, Germany), and Horacio Tapia- Recillas (Universidad Aut´ onoma Metropolitan-Iztapalapa, Mexico). The program of the conference consisted of four full days and one half day of sessions, with eight invited plenary talks, and close to 60 contributed talks.

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On the autocorrelation of cyclotomic generators	p. 1
The Weierstrass semigroup of an m-tuple of collinear points on a Hermitian curve	p. 12
On cyclic top-associative generalized Galois rings	p. 25
Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves	p. 40
Mutual irreducibility of certain polynomials	p. 59
Lattice profile and linear complexity profile of pseudorandom number sequences	p. 69
Symplectic spreads and permutation polynomials	p. 79
What do random polynomials over finite fields look like?	p. 89
Combinatorics of the two-variable zeta function	p. 109
Constructions of mutually unbiased bases	p. 137
A construction of matrices with no singular square submatrices	p. 145
Everywhere ramified towers of global function fields	p. 148
On the construction of some towers over finite fields	p. 154
The covering radius of some primitive ternary BCH codes	p. 166
The gray map on GR(p[superscript 2],n) and repeated-root cyclic codes	p. 181
Primitive polynomials over small fields	p. 197
Vectorial functions and covering sequences	p. 215
u[subscript q]-sharp subsets of a finite field	p. 249
Cyclic decomposition of permutations of finite fields obtained using monomials	p. 254
Author index	p. 263
Table of Contents provided by Blackwell. All Rights Reserved.

Finite Fields and Applications

7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers

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