On the periodic properties of self-decimated generators of pseudorandom numbers

Details On the periodic properties of self-decimated generators of pseudorandom numbers On the periodic properties of self-decimated generators of pseudorandom numbers

2005-05-30

arxiv.org/abs/math/0505660v1

Computer Data Analysis and Modeling: Proceedings of the 7th International Conference (September 6-10, 2004, Minsk), Vol. 1, P.

Mathematics

Combinatorics

5 pages

Scientific paper

We consider a self-decimated generator of pseudorandom numbers and examine
the preperiod $\lambda$ and the period $\mu$ of its state sequence. We obtain
the expectations and variances of $\lambda$ and $\mu$ for the case when
decimation steps are chosen randomly and independently from the set {1,2}.

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