Abstract
A new efficient step-by-step decoding algorithm for t-error-correcting binary Bose-Chaudhuri-Hocquenghem (BCH) codes is presented. Based on logical analysis, we obtain a simple rule, which can directly determine whether any bit in received word is correct or not without finding the error-location polynomial. The new method omits one largest-scale matrix calculation and the operations of multiplication are reduced significantly, compared with the conventional step-by-step decoding algorithm
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