000 01737nam a2200217Ia 4500
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_d3467
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008 241121s9999 xx 000 0 und d
020 _a9780444851932
041 _aeng
082 _a005.717 MAC/T
100 _aMacWilliams, F. J.
_914347
245 4 _aThe theory of error-correcting codes
260 _bNorth Holland
_aAmsterdam
_cc1977
300 _axx, 762p.; 23cm.
490 _aNorth-Holland mathematical library
500 _aTable of Contents: Chapter 1 Linear Codes. Chapter 2 Nonlinear Codes, Hadamard Matrices, Designs and the Golay Code. Chapter 3 An Introduction to BCH Codes and Finite Fields. Chapter 4 Finite Fields. Chapter 5 Dual Codes and Their Weight Distribution. Chapter 6 Codes, Designs and Perfect Codes. Chapter 7 Cyclic Codes. Chapter 8 Cyclic Codes: Idempotents and Mattson-Solomon Polynomials. Chapter 9 BCH Codes. Chapter 10 Reed-Solomon and Justesen Codes. Chapter 11 MDS Codes. Chapter 12 Alternant, Goppa and Other Generalized BCH Codes. Chapter 13 Reed-Muller Codes. Chapter 14 First-Order Reed-Muller Codes. Chapter 15 Second-Order Reed-Muller, Kerdock and Preparata Codes. Chapter 16 Quadratic-Residue Codes. Chapter 17 Bounds on the Size of a Code. Chapter 18 Methods for Combining Codes. Chapter 19 Self-dual Codes and Invariant Theory. Chapter 20 The Golay Codes. Chapter 21 Association Schemes. Appendix A. Tables of the Best Codes Known. Appendix B. Finite Geometries. Bibliography. Index.
650 _aError-correcting codes (Information theory)
_92176
700 _aSloane, N. J. A.
_914348
856 _uhttps://www.sciencedirect.com/bookseries/north-holland-mathematical-library/vol/16
942 _cBK