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Application of Grobner bases for decoding Reed-Solomon codes used on CDs

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4 Author(s)
I. S. Reed ; Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA ; R. He ; X. Chen ; T. K. Truong

The error/erasure decoding of the RS(28, 24) and RS(32, 28) codes, used on a compact disc, are considered in some detail. Grobner bases are used to obtain the conditions for all error/erasure configurations that fall within the error-correcting ability of the two codes. Finally, a new decoding strategy is presented, which is based on these conditions

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IEE Proceedings - Computers and Digital Techniques  (Volume:145 ,  Issue: 6 )