Coding of channel of data transmission encrypted by pseudo-random sequences

Abstract

This paper presents a system of data transmission encrypted by pseudo-random sequences and shows its work principle by the example of 64-bit data message. One-dimensional discrete map that always generates non-repetitious sequence of numbers depending on initial conditions was used as a generator of pseudo-random sequences. The model of quantitative assessment of noise impact in communication channel on duration time of synchronization period according to the number of excess bits in a code word is proposed. The impact of channel coding on duration time of synchronization period depending on the relative amount of noise in communication channel for various numbers of bits of channel encoder parity is examined. It is shown that the usage of relatively simple linear block coding schemes (Hamming codes) results in reduction of duration time of synchronization period at a rate of 50÷100ns with the relative amount of noise 0.4÷0.8 for bit rate R=10 Mbit/s, and the usage of BCH codes and Golay codes results in reduction of duration time of synchronization period at a rate of 100÷200ns.