Tables of maximally equidistributed combined LFSR generators

Author:

L’Ecuyer Pierre

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference10 articles.

1. The hierarchy of correlations in random binary sequences;Compagner, Aaldert;J. Statist. Phys.,1991

2. \bysame, Operational conditions for random number generation, Physical Review E 52 (1995), no. 5-B, 5634–5645.

3. Uniform random number generation;L’Ecuyer, Pierre;Ann. Oper. Res.,1994

4. Maximally equidistributed combined Tausworthe generators;L’Ecuyer, Pierre;Math. Comp.,1996

5. \bysame, Random number generation, Handbook on Simulation (Jerry Banks, ed.), Wiley, 1998, To appear.

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