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Graph Theory, Coding Theory and Block Designs

£23.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: September 1975
  • availability: Available
  • format: Paperback
  • isbn: 9780521207423

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About the Authors
  • 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.

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    Product details

    • Date Published: September 1975
    • format: Paperback
    • isbn: 9780521207423
    • length: 124 pages
    • dimensions: 229 x 152 x 7 mm
    • weight: 0.19kg
    • availability: Available
  • 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.

  • Authors

    P. J. Cameron

    J. H. van Lint

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