Abstract

It is shown how binary polynomial residue codes which are equivalent in error-correcting power to shortened Reed-Solomon (R-S) codes can be decoded efficiently with binary operations using the Berlekamp algorithm. For R-S codes correcting single error bursts, it is shown how the Chien search can be reduced by reducing the number of points substituted in the error location polynomial. For certain cases, the amount of multiplications needed to evaluate the error location polynomial at a given element of a Galois field can be reduced. This would apply to all BCH codes.

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