This paper proposes an efficient, high-tech method of construction of pseudorandom binary sequences generators with a repetition period 2 n for n-bit shift register with a nonlinear feedback function. The developed method is illustrated by constructing a nonlinear function feedback shift register. It is proved that the offered method requires the realization of a memory size proportional to n 2 that allows making successful use of suitable generators for practical use on the shift register of the longer word.

In this paper a new approach for increasing the performance of burst error correction that occurs during data transmission in low-frequency channels with pulse-code modulation is proposed. The specific technique is based on the weighted checksum which is computed with arithmetic operations. It is shown that the solution proposed not only guarantees the correction of any single error burst but it also lowers the computational complexity so that procedure correction time does not depend on controlled data block length. Finally, the use of the algorithm is illustrated via the thorough presentation of an example of erroneous data transmission.