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Finite Fields and Applications : 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers - Gary L. Mullen

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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Published: 19th 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.

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

ISBN: 9783540213246
ISBN-10: 3540213244
Series: Lecture Notes in Computer Science
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 263
Published: 19th March 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.3 x 15.5  x 1.47
Weight (kg): 0.86