A generator of pseudo-random numbers sequences with a very long period

Authors:
S. Sánchez;R. Criado;C. Vega
Affiliations:
-;-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 3
Cited 0

Reconstructing truncated integer variables satisfying linear congruences

SIAM Journal on Computing - Special issue on cryptography
Inferring sequences produced by pseudo-random number generators

Journal of the ACM (JACM)
A More Portable Fortran Random Number Generator

ACM Transactions on Mathematical Software (TOMS)

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Abstract

We show how it is possible to choose, in an adequate manner, the parameters a, b, and m of the linear congruential generator,x"n"+"1=(a@?x"n+b)mod@?min order to maximize the period of the generated series of pseudo-random numbers, in such a manner that the period obtained is close to the theoretical upper bound of m!.