Finite Fields and Applications (Paperback)

Gary L. Mullen

ISBN 10: 3540213244 / ISBN 13: 9783540213246

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2004

Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540213246

Riassunto:

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.

Contenuti: On the Autocorrelation of Cyclotomic Generators.- The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve.- On Cyclic Top-Associative Generalized Galois Rings.- Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves.- Mutual Irreducibility of Certain Polynomials.- Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences.- Symplectic Spreads and Permutation Polynomials.- What Do Random Polynomials over Finite Fields Look Like?.- Combinatorics of the Two-Variable Zeta Function.- Constructions of Mutually Unbiased Bases.- A Construction of Matrices with No Singular Square Submatrices.- Everywhere Ramified Towers of Global Function Fields.- On the Construction of Some Towers over Finite Fields.- The Covering Radius of Some Primitive Ternary BCH Codes.- The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes.- Primitive Polynomials over Small Fields.- Vectorial Functions and Covering Sequences.- u q -Sharp Subsets of a Finite Field.- Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.

Dati bibliografici

Titolo: Finite Fields and Applications (Paperback)
Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Data di pubblicazione: 2004
Legatura: Paperback
Condizione: new