Evaluation of statistical properties of the output sequence of combination generators with graphics tests
Abstract
In this paper, we consider a class of combination generators wherein the summation operation in a finite field (sum modulo) is used as the combining function. The statistical properties of sequences of numbers at the output of the combination generator where the primary source generators use permutation tables with relatively prime periods of recurrence is studied. Graphical methods for determining the statistical properties of sequences of numbers are considered. Using graphical tests, the analysis of statistical characteristics of the sequences at the output of the combination generator is performed with different primary tables of permutations (linear congruential method, quantum random number generator) and these characteristics are compared with the characteristics of output sequences of existing generators of random (digitized radio noise) and pseudorandom ("Mersenne twister") numbers. The results demonstrate identical statistical properties of all sequences tested in this paper.References
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