Designs, graphs, codes and their links
P. J. Cameron and J. H. van Lint.
Cambridge : Cambridge University Press, 1991.
viii, 240 págs. : ilustraciones ; 23 cm.
Serie: London Mathematical Society student texts ; 22
ISBN: 0521423856 (pbk.), 0521413257
"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.
Reseña: MathSciNet, 93c:05001
Contenido
- 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.
