Decoding Algorithm for Binary BCH Codes

C.-L. Chr, S.-L. Su, and S.-W. Wu (Taiwan)

Keywords

stepbystep decoding, binary BCH code, matrixcomputation, computational complexity.

Abstract

A step-by-step decoding algorithm for t-error-correcting binary Bose-ChaudhuriHocquenghem (BCH) codes is proposed. The new method can directly determine whether a bit in received word is correct without finding the error-location polynomial. The computational complexity of this decoder is less than that of the conventional step-by-step decoding algorithm, since it reduces approximately half of the matrix computations and the most complex element in the conventional step by-step decoder is the "matrix-computing" element.

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