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Explicit inversive congruential pseudorandom numbers with power of two modulus

Authors: Jürgen Eichenauer-Herrmann and Katja Ickstadt
Journal: Math. Comp. 62 (1994), 787-797
MSC: Primary 11K45; Secondary 11K38, 65C10
MathSciNet review: 1212266
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Abstract: An explicit version of the inversive congruential method with power of two modulus for generating uniform pseudorandom numbers is introduced. Statistical independence properties of the generated sequences are studied by means of the serial test. The method of proof relies on a detailed analysis of certain exponential sums.

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Keywords: Pseudorandom numbers, inversive congruential method, power of two modulus, discrepancy
Article copyright: © Copyright 1994 American Mathematical Society

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