ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS-Reference-Cited by-同舟云学术

ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS

Published:2006-03 Issue:01 Volume:02 Page:163-168
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

EL-MAHASSNI EDWIN D.¹,WINTERHOF ARNE²

Affiliation:

1. Electronic Warfare & Radar Division, Defence Science & Technology Organisation, P.O. Box 1500, Edinburgh, SA 5111, Australia

2. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Straße 69, A-4040 Linz, Austria

Abstract

The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present a new type of discrepancy bound for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers over a ring of integers ℤM.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042106000413

Reference15 articles.

1. Trigonometric approximation and uniform distribution modulo one

2. Sequences, Discrepancies and Applications

3. A survey of quadratic and inversive congruential pseudorandom numbers

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