K-System Generator of Pseudorandom Numbers on Galois Field

G. G. Athanasiu (), E. G. Floratos and G. K. Savvidy ()
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G. G. Athanasiu: Physics Department,University of Crete, GR-71409 Iraklion, Crete, Greece
E. G. Floratos: National Research Center "Demokritos", GR-15310 Ag. Paraskevi, Athens, Greece
G. K. Savvidy: National Research Center "Demokritos", GR-15310 Ag. Paraskevi, Athens, Greece

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 03, 555-565

Abstract: We analyze the structure of the periodic trajectories of theK-system generator of pseudorandom numbers on a rational sublattice which coincides with the Galois fieldGF[p]. The period of the trajectories increases as a function of the lattice sizepand the dimension of theK-matrixd. We emphasize the connection of this approach with the one which is based on primitive matrices over Galois fields.

Keywords: Monte Carlo Methods; Pseudorandom Numbers; K-Systems and Ergodic Theory; Periodic Trajectories; Galois Fields; Primitive Matrices (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000448

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