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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978-1-107-10748-9 (9781107107489)
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Schweitzer Klassifikation
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.
