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

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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.

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Product Details

  • ISBN-13: 9783540213246
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/28/2004
  • Series: Lecture Notes in Computer Science Series, #2948
  • Edition description: 2004
  • Edition number: 1
  • Pages: 263
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.58 (d)

Table of Contents

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