On BEP of a generalised concatenated coding

This paper is mainly concerned with the combination and decomposition of linear block error-control codes for satellite and deep space communications. These problems are posed because concatenated codes are not optimum codes in most cases. Even when the inner and outer codes are optimum codes individually, their combination is still not optimum. To identify an optimum code, it is necessary to extend concatenated codes into their generalised concatenated codes domain. A generalised concatenated coding scheme is able to achieve the highest coding rate for a required code distance, or for a fixed coding rate achieve a maximum error-control ability. Therefore near optimal bit error probability (BEP) performance can be obtained