Designs, Graphs, Codes and their Links

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Overview

This book stresses the connection between, and the applications of, design theory to graphs and codes. Beginning with a brief introduction to design theory and the necessary background, the book also provides relevant topics for discussion from the theory of graphs and codes.

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Product Details

  • ISBN-13: 9780521423854
  • Publisher: Cambridge University Press
  • Publication date: 9/28/1991
  • Series: London Mathematical Society Student Texts Series, #22
  • Edition description: New Edition
  • Pages: 240
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.59 (d)

Table of Contents

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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