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A Novel Pseudo-random Bit Generator Based on Some Transcendental Chaotic Systems

Author

Listed:
  • Boriga Radu

    (“Titu Maiorescu” University of Bucharest, Faculty of Economics)

  • Dascalescu Ana Cristina

    (“Titu Maiorescu” University of Bucharest, Faculty of Economics)

Abstract

Chaotic maps have attracted great interest for its special use in secure communication systems. It is proved that for some chaotic maps defined by we can find an analytical solution, so systems can leads to predictability. In this letter, we propose a new kind of chaotic map based on transcendental equations, which appear completely different deterministic random behavior with the known chaotic maps and have a kind of more complicated dynamical behavior. We study the effectiveness of the practical application of such systems for generating sequences of pseudorandom numbers and we investigate the properties of the obtained data to confirm them for cryptographic purpose.

Suggested Citation

  • Boriga Radu & Dascalescu Ana Cristina, 2011. "A Novel Pseudo-random Bit Generator Based on Some Transcendental Chaotic Systems," Ovidius University Annals, Economic Sciences Series, Ovidius University of Constantza, Faculty of Economic Sciences, vol. 0(1), pages 208-212, May.
    • Handle: RePEc:ovi:oviste:v:11:y:2011:i:1:p:208-212
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    More about this item

    Keywords

    chaotic systems; pseudo random; cryptography; stream cipher; transcendental equations;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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