Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers

Abstract

The inversive congruential method is a uniform pseudorandom number generator which was introduced recently. For a prime modulus p the discrepancy D of k-tuples of successive pseudorandom numbers generated by this method determines the statistical independence properties of these pseudorandom numbers. It was shown earlier by the author that Dik) = 0(p~l,2(\o… (More)

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