000			02423cam a2200241 i 4500
001			137067
003			ISI Library, Kolkata
005			20231210020006.0
008			150730s2015 njua b 001 0 eng
020			_a9789814635899 (hbk.)
040			_aISI Library
082	0	4	_a512 _223 _bB514
100	1		_aBerlekamp, Elwyn, _eauthor
245	1	0	_aAlgebraic coding theory / _cElwyn Berlekamp.
250			_aRev ed.
260			_aSingapore : _bWorld Scientific, _c©2015.
300			_axxiv, 474 p. : _billustrations ; _c24 cm.
504			_aIncludes bibliographical references and index.
505	0		_a1. Basic binary codes -- 2. Arithmetic operations modulo -- 3. The number of irreducible q-ary -- 4. The structure of finite fields -- 5. Cyclic binary codes -- 6. The factorization of polynomials over finite fields -- 7. Binary BCH codes for correcting multiple errors -- 8. Nonbinary coding -- 9. Negacyclic codes for the Lee Metric -- 10. Gorenstein-Zierler Generalized Nonbinary BCH codes for the hamming metric -- 11. Linearized polynomials and Affine polynomials -- 12. The enumeration of information symbols in BCH codes -- 13. The information rate of the optimum codes -- 14. Codes derived by modifying or combining other codes -- 15. Other important coding and decoding methods -- 16. Weight enumerators -- Appendices.
520			_aThis is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes.Selected chapters of the book became a standard graduate textbook.Both practicing engineers and scholars will find this book to be of great value.
650		0	_aCoding theory.
942			_2ddc _cBK _01
999			_c420596 _d420596