Twisting generators for pseudorandom numbers may use a congruential array to simulate stochastic sequences. Typically, the computer program controls the quantity of elements in array to limit the random access memory. This technique may have limitations in situations where the stochastic sequences have an insufficient size for some application tasks, ranging from theoretical mathematics and technic constructions to biological and medical studies. This paper proposes a novel approach to generate complete stochastic sequences which don’t need a congruential twisting array. The results of simulation confirm that received random numbers are distributed absolutely uniformly in the set of unique sequences. Moreover, combination of this novel approach with an algorithm of tuning for twisting generation affords the length extension of created sequences without requiring additional computer random access memory.

pseudorandom number generator, stochastic sequences, congruential numbers, Twister Generator