J. H. Van Lint, Peter J. Cameron, P. J. Cameron

Designs, Graphs, Codes and Their Links

• Gebundenes Buch

Produktbeschreibung

The three subjects of this book all began life in the provinces of applicable mathematics. Design theory originated in statistics (its name reflects its initial use, in experimental design); codes in information transmission; and graphs in the modeling of networks of a very general kind (in the first instance, the bridges of Konigsberg). All three have since become a part of mainstream discrete mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 252
• Erscheinungstermin: 22. Dezember 2003
• Englisch
• Abmessung: 235mm x 157mm x 19mm
• Gewicht: 565g
• ISBN-13: 9780521413251
• ISBN-10: 0521413257
• Artikelnr.: 21628814

Inhaltsangabe

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 6
7. Partial geometries
8. Graphs with no triangles
9. Codes
10. Cyclic codes
11. The Golay codes
12. Reed-Muller codes
13. Self-dual codes and projective plane
14. Quadratic residue codes and the Assmus-Mattson theorem
15. Symmetry codes over F3
16. Nearly perfect binary codes and uniformly packed codes
17. Association schemes.