Abstract:
The authors consider a decoding algorithm for concatenated codes in binary symmetrical memoryless channels (BSC), for which the error probability does not exceed twice the maximum-likelihood decoding error probability, while the complexity of implementation has the smallest known exponent in the class of codes that meet the Varshamov–Gilbert bound. The proposed algorithm is a modification of the concatenated list decoding algorithm of Zyablov and Pinsker [Probl. Peredachi Inf., 1981, vol. 17, no. 4, pp. 29–33].