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Graphs, Codes and Designs : London Mathematical Society Lecture Note Series - P. J. Cameron

Graphs, Codes and Designs

London Mathematical Society Lecture Note Series

Paperback Published: 29th September 1980
ISBN: 9780521231411
Number Of Pages: 156

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This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.

Introduction
A brief introduction to design theory
Strongly regular graphs
Quasi-symmetric designs
Strongly regular graphs with no triangles
Polarities of designs
Extension of graphs
Codes
Cyclic codes
Threshold decoding
Reed-Muller codes
Self-orthogonal codes and designs
Quadratic residue codes
Symmetry codes over GF(3)
Nearly perfect binary codes and uniformly packed codes
Association schemes
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521231411
ISBN-10: 0521231418
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 156
Published: 29th September 1980
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 0.9
Weight (kg): 0.24

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