An Introduction To Algebraic And Combinatorial Coding Theory

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    An Introduction to Algebraic and Combinatorial Coding Theory
    By: Ian F. Blake; Ronald C. Mullin
    Publisher:
    Academic Press
    Print ISBN: 9780121035600, 0121035603
    eText ISBN: 9781483260297, 1483260291
    Copyright year: 1976
    Format: PDF
    Available from $ 72.95 USD
    SKU 9781483260297
    An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions.

    The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields.

    The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups.

    The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.
     

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