64-Bit and 128-bit DX random number generators

Lih Yuan Deng; Henry Horng Shing Lu; Tai Been Chen

doi:10.1007/s00607-010-0097-9

64-Bit and 128-bit DX random number generators

Lih Yuan Deng, Henry Horng Shing Lu, Tai Been Chen

Institute of Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Extending 32-bit DX generators introduced by Deng and Xu (ACM Trans Model Comput Simul 13:299-309, 2003), we perform an extensive computer search for classes of 64-bit and 128-bit DX generators of large orders. The period lengths of these high resolution DX generators are ranging from 10¹⁹¹⁵ to 10⁵⁸²²¹. The software implementation of these generators can be developed for 64-bit or 128-bit hardware. The great empirical performances of DX generators have been confirmed by an extensive battery of tests in the TestU01 package. These high resolution DX generators can be useful to perform large scale simulations in scientific investigations for various computer systems.

Original language	English
Pages (from-to)	27-43
Number of pages	17
Journal	Computing (Vienna/New York)
Volume	89
Issue number	1-2
DOIs	https://doi.org/10.1007/s00607-010-0097-9
State	Published - Aug 2010

Keywords

Combined generators
Empirical tests
Equidistribution
Linear congruential generator (LCG)
MT19937
Multiple recursive generator (MRG)

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10.1007/s00607-010-0097-9

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abstract = "Extending 32-bit DX generators introduced by Deng and Xu (ACM Trans Model Comput Simul 13:299-309, 2003), we perform an extensive computer search for classes of 64-bit and 128-bit DX generators of large orders. The period lengths of these high resolution DX generators are ranging from 101915 to 1058221. The software implementation of these generators can be developed for 64-bit or 128-bit hardware. The great empirical performances of DX generators have been confirmed by an extensive battery of tests in the TestU01 package. These high resolution DX generators can be useful to perform large scale simulations in scientific investigations for various computer systems.",

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KW - Equidistribution

KW - Linear congruential generator (LCG)

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KW - Multiple recursive generator (MRG)

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64-Bit and 128-bit DX random number generators

Abstract

Keywords

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