TY - BOOK AU - Xambó-Descamps, Sebastia AU - Xambó-Descamps, Sebastia TI - Block Error-Correcting Codes: : a computational primer T2 - Universitext SN - 9783540003953 U1 - 005.72 XAM PY - 2003/// CY - Berlin ; New York PB - : Springer, KW - Computer programming KW - Computer programming, programs and data KW - Error-correcting codes Information theory KW - Fouten KW - Algoritmen KW - Computers KW - Coding N1 - 1. Block Error-correcting Codes -- 1.1. Basic concepts -- 1.2. Linear codes -- 1.3. Hadamard codes -- 1.4. Parameter bounds -- 2. Finite Fields -- 2.1. Z[subscript n] and F[subscript p] -- 2.2. Construction of finite fields -- 2.3. Structure of the multiplicative group of a finite field -- 2.4. Minimum polynomial -- 3. Cyclic Codes -- 3.1. Generalities -- 3.2. Effective factorization of X[superscript n] -- 1 -- 3.3. Roots of a cyclic code -- 3.4. The Meggitt decoder -- 4. Alternant Codes -- 4.1. Definitions and examples -- 4.2. Error location, error evaluation and the key equation -- 4.3. The Berlekamp-Massey-Sugiyama algorithm -- 4.4. The Peterson-Gorenstein-Zierler algorithm -- App. The WIRIS/cc system N2 - Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject."--Jacket ER -