Codes and Association Schemes (DIMACS: Series in Discrete Mathematics and Theoretical Computer Science): DIMACS Workshop Codes and Association Schemes, November 9-12, 1999, DIMACS Center - Hardcover

American Mathematical Society

Hardcover

ISBN 10: 0821820745 ISBN 13: 9780821820742

Publisher: American Mathematical Society, 2001

Synopsis

This volume presents papers related to the DIMACS workshop, ""Codes and Association Schemes"". The articles are devoted to the following topics: applications of association schemes and of the polynomial method to properties of codes, structural results for codes, structural results for association schemes, and properties of orthogonal polynomials and their applications in combinatorics. Papers on coding theory are related to classical topics, such as perfect codes, bounds on codes, codes and combinatorial arrays, weight enumerators, and spherical designs. Papers on orthogonal polynomials provide new results on zeros and symptotic properties of standard families of polynomials encountered in coding theory. The theme of association schemes is represented by new classification results and new classes of schemes related to posets. This volume collects up-to-date applications of the theory of association schemes to coding and presents new properties of both polynomial and general association schemes. It offers a solid representation of results in problems in areas of current interest.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2001
• Language: English
• ISBN 10: 0821820745
• ISBN 13: 9780821820742
• Binding: Hardcover
• Number of pages: 303