› › Codes And Association Schemes

Codes and Association Schemes

Author : Alexander Barg

Publisher : American Mathematical Soc.

Page : 317 pages

File Size : 15,66 MB

Release : 2001

Category : Computers

ISBN : 0821820745

Get eBook

Book Description

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.









Association Schemes

Author : R. A. Bailey

Publisher : Cambridge University Press

Page : 410 pages

File Size : 42,6 MB

Release : 2004-02-26

Category : Mathematics

ISBN : 9781139449939

Get eBook

Book Description

Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.







Combinatorics

Author : Marshall Hall

Publisher : Taylor & Francis

Page : 500 pages

File Size : 41,55 MB

Release : 1975-04-30

Category : Mathematics

ISBN : 9789027705938

Get eBook

Book Description

Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974



Algebraic Combinatorics

Author : Eiichi Bannai

Publisher : Walter de Gruyter GmbH & Co KG

Page : 303 pages

File Size : 38,11 MB

Release : 2021-02-22

Category : Mathematics

ISBN : 3110627736

Get eBook

Book Description

This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.