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Designs, Graphs, Codes and their Links : London Mathematical Society Student Texts - P. J. Cameron

Designs, Graphs, Codes and their Links

London Mathematical Society Student Texts

Hardcover Published: 19th September 1991
ISBN: 9780521413251
Number Of Pages: 252

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This book stresses the connection between, and the applications of, design theory to graphs and codes. Beginning with a brief introduction to design theory and the necessary background, the book also provides relevant topics for discussion from the theory of graphs and codes.

Contentsp. v
Prefacep. vii
Notation and terminologyp. ix
Design theoryp. 1
Strongly regular graphsp. 29
Graphs with least eigenvalue-2p. 49
Regular two-graphsp. 57
Quasi-symmetric designsp. 69
A property of the number sixp. 81
Partial geometriesp. 91
Graphs with no trianglesp. 105
Codesp. 117
Cyclic codesp. 125
The Golay codesp. 131
Reed-Muller and Kerdock codesp. 139
Self-orthogonal codes and projective planesp. 153
Quadratic residue codes and the Assmus-Mattson Theoremp. 161
Symmetry codes over F[subscript 3]p. 175
Nearly perfect binary codes and uniformly packed codesp. 181
Association schemesp. 197
Referencesp. 215
Indexp. 227
List of Authorsp. 237
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521413251
ISBN-10: 0521413257
Series: London Mathematical Society Student Texts
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 252
Published: 19th September 1991
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.7
Weight (kg): 0.54

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