Beware of linear congruential generators with multipliers of the form a = ±2 q ±2 r

Author:

L'Ecuyer Pierre1,Simard Richard1

Affiliation:

1. Univ. de Montréal, Montréal, P.Q., Canada

Abstract

Linear congruential random-number generators with Mersenne prime modulus and multipliers of the form a = ±2 q ± r have been proposed recently. Their main advantage is the availability of a simple and fast implementation algorithm for such multipliers. This note generalizes this algorithm, points out statistical weaknesses of these multipliers when used in a straightforward manner, and suggests in what context they could be used safely.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference10 articles.

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3. KNUTH D. E. 1997. The Art of Computer Programming. Vol. 2 Seminumerical Algorithms. 3rd ed. Addison-Wesley Reading MA. KNUTH D. E. 1997. The Art of Computer Programming. Vol. 2 Seminumerical Algorithms. 3rd ed. Addison-Wesley Reading MA.

4. Combined multiple recursive random number generators;L'ECUYER P.;Oper. Res.,1996

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