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Bit-level soft-decision decoding of Reed-Solomon codes

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2 Author(s)
Vardy, A. ; Dept. of Electr. Eng., Tel-Aviv Univ., Israel ; Be'ery, Y.

A Reed-Solomon decoder that makes use of bit-level soft-decision information is presented. A Reed-Solomon generator matrix that possesses a certain inherent structure in GF(2) is derived. This structure allows the code to be represented as a union of cosets, each coset being an interleaver of several binary BCH codes. Such partition into cosets provides a clue for efficient bit-level soft-decision decoding. Two decoding algorithms are derived. In the development of the first algorithm a memoryless channel is assumed, making the value of this algorithm more conceptual than practical. The second algorithm, which is obtained as a modification of the first, does account for channel memory and thus accommodates a bursty channel. Both decoding algorithms are, in many cases, orders of magnitude more efficient than conventional techniques

Published in:

Communications, IEEE Transactions on  (Volume:39 ,  Issue: 3 )