These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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 and graph theory. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory.
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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