Cover image for Graph theory, coding theory and block designs
Title:
Graph theory, coding theory and block designs
Series:
Lecture notes series (London Mathematical Society) ; 19
Publication Information:
Cambridge : University Press, 1975
ISBN:
9780521207423

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30000001635840 QA166 C34 1975 Open Access Book
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Summary

Summary

These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory.


Table of Contents

Introduction
1 A brief introduction to design theory
2 Strongly regular graphs
3 Quasi-symmetric designs
4 Strongly regular graphs with no triangles
5 Polarities of designs
6 Extension of graphs
7 Codes
8 Cyclic codes
9 Threshold decoding
10 Reed-Muller codes
11 Self-orthogonal codes and designs
12 Quadratic residue codes
13 Symmetry codes over GF(3)
14 Nearly perfect binary codes and uniformly packed codes
15 Association schemes
References
Index