Method for transmitting a digital message and system for carrying out said method

摘要

A method and system for transmitting digital telecommunications through communications channels, where the message consists of additive Abelian group elements, is disclosed. The use of the channels is simplified by excluding multiplication and division operators from a coding and decoding process. The method makes it possible to transmit any messages from Abelian group elements including code words, whose elements are matrices, polynomials, numbers of mixed-base notation and nonpositional notation. The codes are based on the methods rules, and pertain to the class of systematic linear block codes. A system for transmitting a digital message includes an encoder (1), a modulator (2), a transmitter (3), a receiver (4), a demodulator (5), and a decoder (6).