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Pseudo-random bit generator based on lag time series

Author

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  • M. García-Martínez

    (División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Técnologica, Camino a la Presa San José 2055, Col. Lomas 4 sección, San Luis Potosí, S.L.P., CP. 78216, México)

  • E. Campos-Cantón

    (División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Técnologica, Camino a la Presa San José 2055, Col. Lomas 4 sección, San Luis Potosí, S.L.P., CP. 78216, México)

Abstract

In this paper, we present a pseudo-random bit generator (PRBG) based on two lag time series of the logistic map using positive and negative values in the bifurcation parameter. In order to hidden the map used to build the pseudo-random series we have used a delay in the generation of time series. These new series when they are mappedxnagainstxn+1present a cloud of points unrelated to the logistic map. Finally, the pseudo-random sequences have been tested with the suite of NIST giving satisfactory results for use in stream ciphers.

Suggested Citation

  • M. García-Martínez & E. Campos-Cantón, 2014. "Pseudo-random bit generator based on lag time series," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 1-15.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:04:n:s0129183113501052
    DOI: 10.1142/S0129183113501052
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    1. Unknown, 1999. "Newsletter Spring 1999," Institute on Global Conflict and Cooperation, Working Paper Series qt73x5r0xp, Institute on Global Conflict and Cooperation, University of California.
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