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Improvement And Analysis Of A Pseudo-Random Bit Generator By Means Of Cellular Automata

Author

Listed:
  • J. S. MURGUÍA

    (UASLP, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, S. L. P., México;
    IPICyT, Instituto Potosino de Investigación Cientifica y Tecnologica, Apartado Postal 3-74 Tangamanga, 78231 San Luis Potosí, México)

  • M. MEJÍA CARLOS

    (Instituto en Investigación en Comunicación Óptica, UASLP, Álvaro Obregón 64, 78000 San Luis Potosí, S. L. P., México)

  • H. C. ROSU

    (IPICyT, Instituto Potosino de Investigación Cientifica y Tecnologica, Apartado Postal 3-74 Tangamanga, 78231 San Luis Potosí, México)

  • G. FLORES-ERAÑA

    (Instituto en Investigación en Comunicación Óptica, UASLP, Álvaro Obregón 64, 78000 San Luis Potosí, S. L. P., México)

Abstract

In this paper, we implement a revised pseudo-random bit generator based on a rule-90 cellular automaton. For this purpose, we introduce a sequence matrixHNwith the aim of calculating the pseudo-random sequences ofNbits employing the algorithm related to the automaton backward evolution. In addition, a multifractal structure of the matrixHNis revealed and quantified according to the multifractal formalism. The latter analysis could help to disentangle what kind of automaton rule is used in the randomization process and therefore it could be useful in cryptanalysis. Moreover, the conditions are found under which this pseudo-random generator passes all the statistical tests provided by the National Institute of Standards and Technology (NIST).

Suggested Citation

  • J. S. Murguía & M. Mejía Carlos & H. C. Rosu & G. Flores-Eraña, 2010. "Improvement And Analysis Of A Pseudo-Random Bit Generator By Means Of Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 741-756.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:06:n:s0129183110015440
    DOI: 10.1142/S0129183110015440
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