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 part of mainstream discrete mathematics.
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 part of mainstream discrete mathematics.
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.
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.
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