Reed-Solomon Codes and Their Applications
IEEE Press, 1994 - Technology & Engineering - 322 pages
Reed-Solomon codes provide critical error control for many different types of digital communications systems, including those on the Voyager spacecraft and in CD players. This collection of 13 articles from leading researchers in the field provides a comprehensive overview of the history and practical applications--some never before published--of these important codes.
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The Generator Polynomial Approach
Decoding ReedSolomon Codes
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algebraic geometry basis BCH codes Berlekamp Berlekamp-Massey algorithm binary bit error bit-serial block cell channel chapter coding system coefficients Communications compact disc complexity computation concatenated coding construction convolutional code coordinates coset cyclic decoder error decoding algorithm decoding operation defined demodulator denote domain dwell interval elements elliptic curves equation erasures error control codes error correction error pattern error values Error-Correcting Codes evaluation finite field frequency frequency-hop Galois field GF(p GF(q hopping patterns HRSD hypersystolic IEEE IEEE Transactions Information Theory inner code input interference interleaver iterations Lempel-Greenberger length linear matrix maximum MDS codes minimum distance multiplication nonzero number of errors obtained output parameters partial-band performance received word Reed Reed-Solomon code word Reed-Solomon decoder reliability Section sequence side information signal slot soft-decision Solomon codes Spread-Spectrum symbol errors syndrome test symbols Theorem throughput Transactions on Information transmission transmitted unidirectional byte errors vector Viterbi algorithm Viterbi decoder Volume