Download An Introduction to Algebraic and Combinatorial Coding Theory by Ian F. Blake,Ronald C. Mullin PDF

By Ian F. Blake,Ronald C. Mullin

An creation to Algebraic and Combinatorial Coding thought specializes in the foundations, operations, and methods concerned about the combinatorial coding conception, together with linear variations, chain teams, vector areas, and combinatorial buildings.

The e-book first bargains details on finite fields and coding conception and combinatorial buildings and coding. Discussions concentrate on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial method of coding, and linear adjustments of vector areas over finite fields.

The textual content then examines coding and combinatorics, together with chains and chain teams, equidistant codes, matroids, graphs, and coding, matroids, and twin chain teams. The manuscript additionally ponders on Möbius inversion formulation, Lucas's theorem, and Mathieu teams.

The ebook is a invaluable resource of knowledge for mathematicians and researchers drawn to the combinatorial coding theory.

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