Algebraic coding theory

by Berlekamp, Elwyn R.

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Title Statements

Full title :Algebraic coding theory / Elwyn Berlekamp, UC Berkeley, emeritus.

Edition Statements

Publication Date:2015
Edition:Revised edition

Publication Statements

Publisher(s):World Scientific
Place of Publication:New Jersey
Language:eng
Publication Date:2015

The Physical Object

Description:xxiv, 474 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:9789814635899, 9814635898
oclc:ocn910502324
LC Classification:QA268
Dewey Decimal:512.7/5

Basic binary codes -- Arithmetic operations modulo an irreducible binary polynomial -- The number of irreducible q-ary polynomials of given degree -- The structure of finite fields -- Cyclic binary codes -- The factorization of polynomials over finite fields -- Binary BCH codes for correcting multiple errors -- Nonbinary coding -- Negacyclic codes for the Lee metric -- Gorenstein-Zierler generalized nonbinary BCH codes for the Hamming metric -- Linearized polynomials and affine polynomials -- The enumeration of information symbols in BCH codes -- The information rate of the optimum codes -- Codes derived by modifying or combining other codes -- Other important coding and decoding methods -- Weight enumerators.