Graph Theory, Coding Theory and Block Designs
Part of London Mathematical Society Lecture Note Series
- Authors:
- P. J. Cameron
- J. H. van Lint
- Date Published: November 1975
- availability: Available
- format: Paperback
- isbn: 9780521207423
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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.
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×Product details
- Date Published: November 1975
- format: Paperback
- isbn: 9780521207423
- length: 124 pages
- dimensions: 229 x 152 x 7 mm
- weight: 0.19kg
- availability: Available
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.
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