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  3. Finite Geometry and Combinatorial Applications
    • Simeon Ball, Universitat Politècnica de Catalunya, Barcelona
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 July 2015
    26 June 2015
    ISBN:
    9781316257449
    9781107107991
    9781107518438
    DOI:
    https://doi.org/10.1017/CBO9781316257449
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.57kg, 298 Pages
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.44kg, 295 Pages
    • Subjects:
    Mathematics (general), Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Student Texts (82)
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    Subjects:
    Mathematics (general), Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Student Texts (82)
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    Book description

    The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.

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