MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Efficient multiply-with-carry random number genrators with maximal period (2003) [3 citations — 0 self]

Download:
pdf
by Mark Goresky, Andrew Klapper
ACM Transactions on Modeling and Computer Simulation
http://www.math.ias.edu/~goresky/MWC.pdf
Add To MetaCart

Abstract:

1.1. A pseudo random number generator (RNG) for high speed simulation and Monte Carlo integration should have several properties: (1) it should have enormous period, (2) it should exhibit uniform distribution of d-tuples (for all d), (3) it should exhibit a good lattice structure in high dimensions, and (4) it should be efficiently computable (preferably

Citations

198 The Art of Computer Programming. Vol. 2: Seminumerical Algorithms – Knuth - 1981
134 Shift Register Sequences – Golomb - 1967
39 Fourier analysis of uniform random number generators – Coveyou, MacPherson - 1967
35 Shift Register Sequences, (Aegean Park – Golomb - 1982
34 Feedback shift registers, 2-adic span, and combiners with memory – Klapper, Goresky - 1997
27 On the lattice structure of certain linear congruential sequences related to AWC/SWB generators – Couture, L’Ecuyer - 1994
25 A new class of random number generators – Marsaglia, Zaman
21 Seeds for Random Number Generators – Marsaglia - 2003
17 Feedback Shift Registers, Combiners with Memory, and 2-Adic – Klapper, Goresky - 1997
13 Distribution properties of multiplywith-carry random number generators – Couture, L’Ecuyer - 1997
10 2-adic shift registers – Klapper, Goresky - 1994
10 2-adic shift registers, Fast Software Encryption – Klapper, Goresky - 1994
8 On the Lattice Structure of the Add-withcarry and Subtract-with-borrow Random Number Generators – Tezuka, l'Ecuyer, et al. - 1993
6 The mathematics of random number generators, The Unreasonable Effectiveness of Number Theory – Marsaglia - 1992
5 Algebraic feedback shift registers – Klapper, Xu - 1999
3 yet another RNG. posted to the electronic bulletin board sci.stat.math – MARSAGLIA - 1994
2 Tables of maximally equidistributed combined LFSR generators – ÉCUYER, P - 1999