TY - BOOK AU - MacWilliams, F. J. AU - Sloane, N. J. A. TI - The theory of error-correcting codes T2 - North-Holland mathematical library SN - 9780444851932 U1 - 005.717 MAC/T PY - 1977/// CY - Amsterdam PB - North Holland KW - Error-correcting codes (Information theory) N1 - Table 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 UR - https://www.sciencedirect.com/bookseries/north-holland-mathematical-library/vol/16 ER -