Overview

This volume represents the refereed proceedings of the Fifth International Conference on Finite Fields and Applications (F q5) held at the University of Augsburg (Germany) from August 2-6, 1999, and hosted by the Department of Mathematics. The conference continued a series of biennial international conferences on finite fields, following earlier conferences at the University of Nevada at Las Vegas (USA) in August 1991 and August 1993, the University ofGlasgow (Scotland) in July 1995, and the University ofWaterloo (Canada) in August 1997. The Organizing Committee of F q5 comprised Thomas Beth (University ofKarlsruhe), Stephen D. Cohen (University of Glasgow), Dieter Jungnickel (University of Augsburg, Chairman), Alfred Menezes (University of Waterloo), Gary L. Mullen (Pennsylvania State University), Ronald C. Mullin (University of Waterloo), Harald Niederreiter (Austrian Academy of Sciences), and Alexander Pott (University of Magdeburg). The program ofthe conference consisted offour full days and one halfday ofsessions, with 11 invited plenary talks andover80contributedtalks that re- quired three parallel sessions. This documents the steadily increasing interest in finite fields and their applications. Finite fields have an inherently fasci- nating structure and they are important tools in discrete mathematics. Their applications range from combinatorial design theory, finite geometries, and algebraic geometry to coding theory, cryptology, and scientific computing. A particularly fruitful aspect is the interplay between theory and applications which has led to many new perspectives in research on finite fields.

Full Product Details

Author:   Dieter Jungnickel ,  H. Niederreiter
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2001
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.765kg
ISBN:  

9783642624988

ISBN 10:   3642624987
Pages:   490
Publication Date:   23 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings.- Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound.- Self-Dual Normal Bases and Related Topics.- Permutations amongst the Dembowski-Ostrom Polynomials.- Associative Rational Functions in Two Variables.- A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences.- Gelfond-Gramain’s Theorem for Function Fields.- On Generalized Bent and q-ary Perfect Nonlinear Functions.- Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group..- A Permutation of a Small Infinite Field.- Almost Perfect Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5.- On Non-Abelian Semi-Regular Relative Difference Sets.- Applications of Arithmetical Geometry to Cryptographic Constructions.- Gauß Periods in Finite Fields.- Constructions of Orthomorphisms of ?2n.- Period Polynomials for $$ {F_{{{p^{2}}}}} $$ of Fixed Small Degree.- Universal Generators for Primary Closures of Galois Fields.- Irreducible Polynomials Generated by Decimations.- Decoding Reed-Muller Codes beyond Half the Minimum Distance.- On Binary Cyclic Codes With Few Weights.- Mac Williams Identities for Linear Codes over Finite Frobenius Rings.- Cyclotomic Function Fields with Many Rational Places.- On the Siamese Twin Designs.- On the Brauer Monoid for Finite Fields.- Algorithms for Factoring Polynomials over Finite Fields.- Gauss Sums over Quasi-Frobenius Rings.- On the Early History of Galois Fields.- Linear Blocking Sets: a Survey.- Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications.- On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over Fq.- APermutation Problem for Finite Fields.- The L-Function of Gold Exponential Sum.- On Permutation Polynomials and Derivable Translation Planes.- Pure L-Functions from Algebraic Geometry over Finite Fields.- Incomplete Additive Character Sums and Applications.- Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences.- Author Index.

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