On the concept of code-isomorphy (Q2563491)

This paper deals with the error correcting coding isomorphism for block codes. Using the Hamming metric, one defines isometry, for the original code, for any permutation of the code and its configuration map. Also by transmitting the code for a symmetric channel, it comes to a conclusion as it is started as the symbol decoding failure probability does not depend on the transmitted symbol or on the time of transmission if the configuration group and the automorphism group act transitively on the set of codewords response on the set of the \(k\) information positions.