Concatenated group theoretic codes for binary asymmetric channels

A brief description of group theoretic codes is given and their suitability for binary asymmetric channels is exemplified. Previous research has shown the superiority in the information rate of the group theoretic codes over the existing codes for binary asymmetric channels and has left open the problems posed by the encoding/decoding procedures. The present paper introduces more sophisticated codes constructed from the already existing single 1-error correcting group theoretic codes. The new class of codes, which we will refer to as concatenated group theoretic codes, will have improved encoding/decoding features while maintaining a high information rate comparable with that of equivalent length group theoretic codes. As their name indicates, a code of length 2n will be obtained by concatenating two sets of group theoretic codes of length n.