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Designs, Graphs, Codes and their Links

Designs, Graphs, Codes and their Links

Designs, Graphs, Codes and their Links

P. J. Cameron , Queen Mary University of London
J. H. van Lint , Technische Universiteit Eindhoven, The Netherlands
September 1991
Paperback
9780521423854

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    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.

    • A really significant revision of a LMS Lecture Notes classic
    • Its previous two 'editions' have sold 3500+ copies Graphs Codes & Design's (1980) 1600 sales Graph Theory, Coding Theory & Block Designs (1975) 1900 sales

    Product details

    March 2011
    Adobe eBook Reader
    9780511879951
    0 pages
    0kg
    10 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
      Authors
    • P. J. Cameron , Queen Mary University of London
    • J. H. van Lint , Technische Universiteit Eindhoven, The Netherlands