Pseudo-random bit generator based on lag time series

M. García-Martínez () and E. Campos-Cantón ()
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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

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 04, 1-15

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.

Keywords: Chaotic behavior; Lyapunov exponent; bifurcation diagram; pseudo-random generator; stream cipher; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113501052

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