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Random number generators with period divisible by a Mersenne prime

Identifieur interne : 007D63 ( Main/Exploration ); précédent : 007D62; suivant : 007D64

Random number generators with period divisible by a Mersenne prime

Auteurs : Richard Brent [France] ; Paul Zimmermann [France]

Source :

RBID : Hal:inria-00099723

Descripteurs français

Abstract

Pseudo-random numbers with long periods and good statistical properties are often required for applications in computational finance. We consider the requirements for good uniform random number generators, and describe a class of generators whose period is a Mersenne prime or a small multiple of a Mersenne prime. These generators are based on ``almost primitive'' trinomials, that is trinomials having a large primitive factor. They enable very fast vector/parallel implementations with excellent statistical properties.

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Le document en format XML

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