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Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems

Author

Listed:
  • Jeaneth Machicao

    (São Carlos Institute of Physics, University of São Paulo, São Carlos - SP, PO Box 369, 13560-970, Brazil)

  • Marcela Alves

    (#x2020;Institute of Mathematics and Computer Science, University of São Paulo, USP, Avenida Trabalhador São-Carlense, 400, 13566-590, São Carlos, SP, Brazil)

  • Murilo S. Baptista

    (#x2021;Institute for Complex Systems and Mathematical Biology, University of Aberdeen, AB24 3UE, Aberdeen, UK)

  • Odemir M. Bruno

    (São Carlos Institute of Physics, University of São Paulo, São Carlos - SP, PO Box 369, 13560-970, Brazil†Institute of Mathematics and Computer Science, University of São Paulo, USP, Avenida Trabalhador São-Carlense, 400, 13566-590, São Carlos, SP, Brazil)

Abstract

This paper explores the deep-zoom properties of the chaotic k-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.

Suggested Citation

  • Jeaneth Machicao & Marcela Alves & Murilo S. Baptista & Odemir M. Bruno, 2019. "Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-18, May.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:05:n:s0129183119500335
    DOI: 10.1142/S0129183119500335
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