Construction of a nonrecursive 64-bit pseudorandom number generator based on beta transformations on [1,2)

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A beta transformation (β-transformation) on [1,2) is a function Mβ : [1,2) → [1, 2) defined Mβ(t) = βt-<special>[</special>βt<special>] </special> + 1, β> 1. In this paper we construct a nonrecursive 64-bit pseudorandom number generator SS164rand using Mβ (t) and test the randomness of SS164rand by applying various statistical tests.

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