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THE THEORY OF ERROR-CORRECTING CODES
The Theory of Error-Correcting Codes

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By
F.J. MacWilliams
N.J.A. Sloane

Included in series
North-Holland Mathematical Library, 16

Contents
Linear Codes. Nonlinear Codes, Hadamard Matrices, Designs and the Golay Code. An Introduction to BCH Codes and Finite Fields. Finite Fields. Dual Codes and Their Weight Distribution. Codes, Designs and Perfect Codes. Cyclic Codes. Cyclic Codes: Idempotents and Mattson-Solomon Polynomials. BCH Codes. Reed-Solomon and Justesen Codes. MDS Codes. Alternant, Goppa and Other Generalized BCH Codes. Reed-Muller Codes. First-Order Reed-Muller Codes. Second-Order Reed-Muller, Kerdock and Preparata Codes. Quadratic-Residue Codes. Bounds on the Size of a Code. Methods for Combining Codes. Self-dual Codes and Invariant Theory. The Golay Codes. Association Schemes. Appendix A. Tables of the Best Codes Known. Appendix B. Finite Geometries. Bibliography. Index.

Bibliographic details
Hardbound, 782 pages, publication date: JAN-1983
ISBN-13: 978-0-444-85193-2
ISBN-10: 0-444-85193-3
Imprint: NORTH-HOLLAND

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USD 155
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Last update: 4 Sep 2009
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