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Generalized threshold decoding and the Reed- Solomon codes

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1 Author(s)

A necessary condition for the existence of a set of J orthogonal parity check equations is developed, and it is demonstrated that, except for the trivial codes, the Reed-Solomon codes are not L -step orthogonalizable. Massey's concept of threshold decoding is generalized, and it is demonstrated that the Reed-Solomon codes are completely threshold decodable. Since every BCH code is a subcode of some Reed-Solomon code, every BCH code has a generalized threshold decoder.

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IEEE Transactions on Information Theory  (Volume:15 ,  Issue: 1 )