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K-System Generator of Pseudorandom Numbers on Galois Field

Author

Listed:
  • 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)

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.

Suggested Citation

  • G. G. Athanasiu & E. G. Floratos & G. K. Savvidy, 1997. "K-System Generator of Pseudorandom Numbers on Galois Field," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 555-565.
    • Handle: RePEc:wsi:ijmpcx:v:08:y:1997:i:03:n:s0129183197000448
    DOI: 10.1142/S0129183197000448
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    Cited by:

    1. Savvidy, Konstantin & Savvidy, George, 2016. "Spectrum and entropy of C-systems MIXMAX random number generator," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 33-38.

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