The invention relates to a system for transmitting encoded information over radio channels and wired communication lines, including the Internet. The system includes a transmitting side and a receiving side each comprising various software/hardware modules for generating/displaying the output/received information of the transmitting side, cryptographic calculations of the transmitting side, service information of the transmitting side, a module for generating a set key of the transmitting side, a module for generating a computed key of the transmitting/receiving side, a module of transmitting side communication channel, macroblocks for blocking computer brute-force search including at least three software/hardware modules for information encoding/cryptographic transformations, a module for random numbers generation, and modules for a degree of the setting polynomial. These modules of the transmitting and receiving sides are connected to each other within their respective sides, as well as to each other across a communication channel.