Data Processing

An introduction to error correcting codes with applications by Scott A. Vanstone

By Scott A. Vanstone

Five. 2 jewelry and beliefs 148 five. three beliefs and Cyclic Subspaces 152 five. four Generator Matrices and Parity-Check Matrices 159 five. five Encoding Cyclic Codest 163 five. 6 Syndromes and straightforward interpreting approaches 168 five. 7 Burst mistakes Correcting a hundred seventy five five. eight Finite Fields and Factoring xn-l over GF(q) 181 five. nine one other technique for Factoring xn-l over GF(q)t 187 five. 10 routines 193 bankruptcy 6 BCH Codes and limits for Cyclic Codes 6. 1 advent 201 6. 2 BCH Codes and the BCH sure 205 6. three Bounds for Cyclic Codest 210 6. four interpreting BCH Codes 215 6. five Linearized Polynomials and discovering Roots of Polynomialst 224 6. 6 workouts 231 bankruptcy 7 mistakes Correction ideas and electronic Audio Recording 7. 1 advent 237 7. 2 Reed-Solomon Codes 237 7. three Channel Erasures 240 7. four BCH deciphering with Erasures 244 7. five Interleaving 250 7. 6 mistakes Correction and electronic Audio Recording 256 7.

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