Extension of the BCH decoding algorithm to decode binary cyclic codes up to their maximum error correction capacities

P.C. Stevens · IEEE Transactions on Information Theory · 1988

The BCH algorithm is extended to correct more errors than indicated by the BCH bound. In the first step of the decoding procedure, a number of errors corresponding to a particular case of the Hartmann-Tzeng bound are corrected. In the second step full error correction is the goal. A measure for the worst-case number of field elements of an extension field GF(2/sup m/) that must be tested for this purpose is given for binary cyclic linear unequal error protection codes as well as for conventional binary cyclic codes.>

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