K-system generator of pseudorandom numbers on Galois field

Details K-system generator of pseudorandom numbers on Galois field K-system generator of pseudorandom numbers on Galois field

1997-03-20

arxiv.org/abs/physics/9703024v1

Physics

Computational Physics

14 pages, Latex

Scientific paper

10.1142/S0129183197000448

We analyze the structure of the periodic trajectories of the K-system generator of pseudorandom numbers on rational sublattice which coincides with the Galois field. The period of the trajectories increases as a function of lattice size and the dimension of the K-matrix. We emphasize the connection of this approach with the one which is based on primitive matrices over Galois fields.

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