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Graph Theory, Coding Theory and Block Designs

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Graph Theory, Coding Theory and Block Designs

Graph Theory, Coding Theory and Block Designs

P. J. Cameron
J. H. van Lint
September 1975
Paperback
9780521207423
    Description

    These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory.

    Product details

    September 1975
    Paperback
    9780521207423
    124 pages
    229 × 152 × 7 mm
    0.19kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • Introduction
    • 1. A brief introduction to design theory
    • 2. Strongly regular graphs
    • 3, Quasi-symmetric designs
    • 4. Strongly regular graphs with no triangles
    • 5. Polarities of designs
    • 6. Extension of graphs
    • 7. Codes
    • 8. Cyclic codes
    • 9. Threshold decoding
    • 10. Reed–Muller codes
    • 11. Self-orthogonal codes and designs
    • 12. Quadratic residue codes
    • 13. Symmetry codes over GF(3)
    • 14. Nearly perfect binary codes and uniformly packed codes
    • 15. Association schemes
    • References
    • Index.
      • Show more

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