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Graphs, Codes and Designs

£35.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: July 1980
  • availability: Available
  • format: Paperback
  • isbn: 9780521231411

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  • This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.

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    Product details

    • Date Published: July 1980
    • format: Paperback
    • isbn: 9780521231411
    • length: 156 pages
    • dimensions: 229 x 152 x 9 mm
    • weight: 0.24kg
    • availability: Available
  • Table of Contents

    1. A brief introduction to design theory
    2. Strongly regular graphs
    3. Quasi-symmetric designs
    4. Partial geometries
    5. Strongly regular graphs with no triangles
    6. Polarities of designs
    7. Extensions of graphs
    8. 1-factorisations of K6
    9. Codes
    10. Cyclic codes
    11. Threshold decoding
    12. Finite geometries and codes
    13. Self-orthogonal codes, designs and projective planes
    14. Quadratic residue codes
    15. Symmetry codes over GF(3)
    16. Nearly perfect binary codes and uniformly packed codes
    17. Association schemes.

  • Authors

    P. J. Cameron

    J. H. van Lint

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