Period of K System Generator of Pseudorandom Numbers

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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14 pages,Latex,references added

Scientific paper

We analyze the structure of the periodic trajectories of the matrix generator
of pseudorandom numbers which has been proposed earlier. The structure of the
periodic trajectories becomes more transparent when the rational sublattice
coincides with the Galois field $GF[p]$. We are able to compute the period of
the trajectories as a function of $p$ and the dimension of the matrix $d$.

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