Author: Alexander Barg
Publisher: American Mathematical Soc.
ISBN: 0821820745
Category : Computers
Languages : en
Pages : 317
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.
Codes and Association Schemes
Author: Alexander Barg
Publisher: American Mathematical Soc.
ISBN: 0821820745
Category : Computers
Languages : en
Pages : 317
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.
Publisher: American Mathematical Soc.
ISBN: 0821820745
Category : Computers
Languages : en
Pages : 317
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, Codes, and Difference Sets
Author: Carlos Harold Salazar-Lazaro
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 704
Book Description
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 704
Book Description
On the Existence of Spherical Group Codes and Their Association Schemes
Algebraic Combinatorics
Author: Eiichi Bannai
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303
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.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303
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.
Combinatorics
Author: Marshall Hall
Publisher: Taylor & Francis
ISBN: 9789027705938
Category : Mathematics
Languages : en
Pages : 500
Book Description
Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974
Publisher: Taylor & Francis
ISBN: 9789027705938
Category : Mathematics
Languages : en
Pages : 500
Book Description
Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974
The Association Schemes of Codes, Fractional Factorial Designs, and Block Structures
Author: John D. Johnson (Ph. D.)
Publisher:
ISBN:
Category : Association schemes (Combinatorial analysis)
Languages : en
Pages : 246
Book Description
Publisher:
ISBN:
Category : Association schemes (Combinatorial analysis)
Languages : en
Pages : 246
Book Description
An Algebraic Approach to the Association Schemes of Coding Theory
Author: P. Delsarte
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 97
Book Description
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 97
Book Description
An Approach to Constant Weight and Lee Codes by Using the Methods of Association Schemes
Author: Hannu Tarnanen
Publisher:
ISBN: 9789516422285
Category : Coding theory
Languages : en
Pages : 76
Book Description
Publisher:
ISBN: 9789516422285
Category : Coding theory
Languages : en
Pages : 76
Book Description
Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
Author: Raj Chandra Bose
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 62
Book Description
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 62
Book Description
Association Schemes
Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 9781139449939
Category : Mathematics
Languages : en
Pages : 410
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.
Publisher: Cambridge University Press
ISBN: 9781139449939
Category : Mathematics
Languages : en
Pages : 410
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.