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We analyze the structure of the periodic trajectories of the K-systemgenerator of pseudorandom numbers on rational sublattice which coincides withthe Galois field. The period of the trajectories increases as a function oflattice size and the dimension of the K-matrix. We emphasize the connection ofthis approach with the one which is based on primitive matrices over Galoisfields.Comment: 14 pages, Late

K-System Generator of Pseudorandom Numbers on Galois Field