Coding Theory and Design Theory: Part I Coding Theory

Overview

These books are based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on Applied Combinatorics. Coding Theory and Design theory are areas of combinatorics which found rich applications of algebraic structures and are closely interconnected. Coding theory has developed into a rich and beautiful example of abstract sophisticated mathematics being applied successfully to solve real-life problems of communication.
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Paperback (Softcover reprint of the original 1st ed. 1990)
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Overview

These books are based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on Applied Combinatorics. Coding Theory and Design theory are areas of combinatorics which found rich applications of algebraic structures and are closely interconnected. Coding theory has developed into a rich and beautiful example of abstract sophisticated mathematics being applied successfully to solve real-life problems of communication.
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Product Details

  • ISBN-13: 9781461389965
  • Publisher: Springer New York
  • Publication date: 7/31/2012
  • Series: IMA Volumes in Mathematics and its Applications Series , #20
  • Edition description: Softcover reprint of the original 1st ed. 1990
  • Edition number: 1
  • Pages: 239
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.54 (d)

Table of Contents

- Part I.- Baer subplanes, ovals and unitals.- On the length of codes with a given covering radius.- The differential encoding of coset codes by algebraic methods.- Families of codes with few distinct weights from singular and non-singular Hermitian varieties and quadrics in projective geometries and Hadamard difference sets and designs associated with two-weight codes.- Perfect multiple coverings in metric schemes.- Nonlinear feedforward sequences of m-sequences II.- Loops of clutters.- Positive independence and enumeration of codes with a given distance pattern.- Bounds on the number of pairs of unjoined points in a partial plane.- Inside Euclid’s algorithm.- Construction of designs.- Algebraic geometric codes.- Combinatorial characters of quasigroups.- Self-dual codes and self-dual designs.- The incidence algebra of a uniform poset.- Some recent results on signed graphs with least eigenvalues——2.- Self-orthogonal codes and the topology of spinor groups.
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