Designs, graphs, codes and their links / P. J. Cameron and J. H. van Lint.

Por: Cameron, Peter J. (Peter Jephson), 1947-Colaborador(es): Lint, Jacobus Hendricus van, 1932-Series London Mathematical Society student texts ; 22Editor: Cambridge : Cambridge University Press, 1991Descripción: viii, 240 p. : il. ; 23 cmISBN: 0521423856 (pbk.); 0521413257Tema(s): Combinatorial designs and configurations | Coding theory | Graph theoryOtra clasificación: 05-01 (94B05) Recursos en línea: Publisher description
Contenidos:
1. Design theory2. Strongly regular graphs3. Graphs with least eigenvalue $-2$4. Regular two-graphs5. Quasi-symmetric designs6. A property of the number six7. Partial geometries8. Graphs with no triangles9. Codes10. Cyclic codes11. The Golay codes12. Reed-Muller and Kerdock codes13. Self-orthogonal codes and projective planes14. Quadratic residue codes and the Assmus-Mattson theorem15. Symmetry codes over $F_3$16. Nearly perfect binary codes and uniformly packed codes17. Association schemes.
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"The book ... can be viewed as a third edition, the first two, by Cameron, having appeared in the London Mathematical Society Lecture Note Series (vols. 19 and 43) under the titles Graph theory, coding theory and block designs (Cambridge Univ. Press, Cambridge, 1975) and Graphs, codes and designs (revised edition, Cambridge Univ. Press, Cambridge, 1980)."--Math. Rev.

Incluye referencias bibliográficas (p. [215]-226) e índices.

1. Design theory -- 2. Strongly regular graphs -- 3. Graphs with least eigenvalue $-2$ -- 4. Regular two-graphs -- 5. Quasi-symmetric designs -- 6. A property of the number six -- 7. Partial geometries -- 8. Graphs with no triangles -- 9. Codes -- 10. Cyclic codes -- 11. The Golay codes -- 12. Reed-Muller and Kerdock codes -- 13. Self-orthogonal codes and projective planes -- 14. Quadratic residue codes and the Assmus-Mattson theorem -- 15. Symmetry codes over $F_3$ -- 16. Nearly perfect binary codes and uniformly packed codes -- 17. Association schemes.

MR, 93c:05001

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