Finite Fields and Applications: 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers / Edition 1

Finite Fields and Applications: 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers / Edition 1

by Gary L. Mullen
     
 

This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004.

The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are

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Overview

This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004.

The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.

Product Details

ISBN-13:
9783540213246
Publisher:
Springer Berlin Heidelberg
Publication date:
04/28/2004
Series:
Lecture Notes in Computer Science Series, #2948
Edition description:
2004
Pages:
263
Product dimensions:
9.21(w) x 6.14(h) x 0.58(d)

Table of Contents

On the autocorrelation of cyclotomic generators1
The Weierstrass semigroup of an m-tuple of collinear points on a Hermitian curve12
On cyclic top-associative generalized Galois rings25
Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves40
Mutual irreducibility of certain polynomials59
Lattice profile and linear complexity profile of pseudorandom number sequences69
Symplectic spreads and permutation polynomials79
What do random polynomials over finite fields look like?89
Combinatorics of the two-variable zeta function109
Constructions of mutually unbiased bases137
A construction of matrices with no singular square submatrices145
Everywhere ramified towers of global function fields148
On the construction of some towers over finite fields154
The covering radius of some primitive ternary BCH codes166
The gray map on GR(p[superscript 2],n) and repeated-root cyclic codes181
Primitive polynomials over small fields197
Vectorial functions and covering sequences215
u[subscript q]-sharp subsets of a finite field249
Cyclic decomposition of permutations of finite fields obtained using monomials254
Author index263

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