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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Tables of maximally equidistributed combined LFSR generators
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by Pierre L’Ecuyer PDF
Math. Comp. 68 (1999), 261-269 Request permission


We give the results of a computer search for maximally equidistri- buted combined linear feedback shift register (or Tausworthe) random number generators, whose components are trinomials of degrees slightly less than 32 or 64. These generators are fast and have good statistical properties.
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Additional Information
  • Pierre L’Ecuyer
  • Affiliation: Département d’Informatique et de Recherche Opérationnelle, Université de Montréal, C.P. 6128, Succ. Centre-Ville, Montréal, H3C 3J7, Canada
  • Email:
  • Received by editor(s): July 14, 1997
  • Additional Notes: This work has been supported by NSERC-Canada grants # ODGP0110050 and SMF0169893, and FCAR-Québec grant # 93ER1654. I wish to thank Luc De Bellefeuille and Armand Nganou who helped perform the computer searches.
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 261-269
  • MSC (1991): Primary 65C10
  • DOI:
  • MathSciNet review: 1620231