Abstract
We consider the construction of of an inversive congruential generator over a Galois ring of odd dimension pl, whichwas proposed by Sole and Zinoviev for p = 2. Using the estimates of trigonometric sums on the sequences of pseudorandom numbers, we obtain the estimates of a discrepant function, a generated sequence of pseudorandom numbers, and the associated sequence of two-dimensional “overlapping” points.
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