, Volume 89, Issue 1–2, pp 27–43 | Cite as

64-Bit and 128-bit DX random number generators

  • Lih-Yuan Deng
  • Henry Horng-Shing LuEmail author
  • Tai-Been Chen


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.


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

Mathematics Subject Classification (2000)

65C10 Random number generation 


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Lih-Yuan Deng
    • 1
  • Henry Horng-Shing Lu
    • 2
    Email author
  • Tai-Been Chen
    • 3
  1. 1.Department of Mathematical SciencesThe University of MemphisMemphisUSA
  2. 2.Institute of StatisticsNational Chiao Tung UniversityHsinchuTaiwan, ROC
  3. 3.Department of Medical Imaging and Radiological SciencesI-Shou UniversityKaohsiungTaiwan, ROC

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