Features of Bijection of Spaces in Signal-Code Constructions

When transmitting messages from various sources and using digital signal processing methods, messages undergo a number of transformations that can be considered as successive bijections of various spaces, which do not meet the conditions of isomorphism. This circumstance should be taken into account when searching for optimal or close to optimal methods for constructing signal-code structures, taking into account the models of existing interference and the resulting errors of various magnitudes.