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Designs, graphs, codes and their links /
This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, U.K. :
Cambridge University Press,
1996, ©1991.
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| Colección: | London Mathematical Society student texts ;
22. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; Notation and terminology; 1. Design theory; Appendix: The Principle of Inclusion and Exclusion; Exercises; 2. Strongly regular graphs; Exercises; 3. Graphs with least eigenvalue -2; Exercises; 4. Regular two-graphs; Exercises; 5. Quasi-symmetric designs; Exercises; 6. A property of the number six; Exercises; 7. Partial geometries; Exercises; 8. Graphs with no triangles; Exercises; 9. Codes; Exercises; 10. Cyclic codes; Exercises; 11. The Golay codes; Exercises; 12. Reed-Muller and Kerdock codes; Constructions of Kerdock sets.; Exercises
- 13. Self-orthogonal codes and projective planesExercises; 14. Quadratic residue codes and the Assmus-Mattson Theorem; Exercises; 15. Symmetry codes over F3; Exercises; 16. Nearly perfect binary codes and uniformly packed codes; The Preparata codes.; Exercises.; 17. Association schemes; Exercises; References; Index; List of Authors