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首页> 外文期刊>Mathematical Problems in Engineering >Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator
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Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

机译：新的混沌动力学系统及其在新型伪随机位发生器中的应用研究

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摘要

A new chaotic discrete dynamical system, built on trigonometric functions, is proposed. With intent to use this system within cryptographic applications, we proved with the aid of specific tools from chaos theory (e.g., Lyapunov exponent, attractors fractal dimension, and Kolmogorov-Smirnov test) and statistics (e.g., NIST suite of tests) that the newly proposed dynamical system has a chaotic behavior, for a large parameter s value space, and very good statistical properties, respectively. Further, the proposed chaotic dynamical system is used, in conjunction with a binary operation, in the designing of a new pseudorandom bit generator (PRBG) model. The PRBG is subjected, by turns, to an assessment of statistical properties. Theoretical and practical arguments, rounded by good statistical results, confirm viability of the proposed chaotic dynamical system and newly designed PRBG, recommending them for usage within cryptographic applications.
机译：提出了一种基于三角函数的新型混沌离散动力系统。为了在密码学应用程序中使用此系统，我们借助混沌理论（例如Lyapunov指数，吸引子分形维数和Kolmogorov-Smirnov检验）和统计数据（例如NIST检验套件）的特定工具进行了证明，所提出的动力学系统具有混沌行为，对于较大的参数s值空间，分别具有非常好的统计特性。此外，在设计新的伪随机位生成器（PRBG）模型时，将所提出的混沌动力学系统与二进制运算结合使用。依次对PRBG进行统计属性评估。理论和实践上的争论，再加上良好的统计结果，证实了所提出的混沌动力学系统和新设计的PRBG的可行性，建议将其用于加密应用中。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第14期|769108.1-769108.10|共10页
  • 作者

    Ana-Cristina Dascalescu; Radu Eugen Boriga; Adrian-Viorel Diaconu;

  • 作者单位

    IT&C Department, Lumina-The University of South-East Europe, 021187 Bucharest, Romania,Faculty of Informatics, University 'Titu Maiorescu', 0400511 Bucharest, Romania;

    IT&C Department, Lumina-The University of South-East Europe, 021187 Bucharest, Romania,Faculty of Informatics, University 'Titu Maiorescu', 0400511 Bucharest, Romania;

    IT&C Department, Lumina-The University of South-East Europe, 021187 Bucharest, Romania,ETTI Faculty, University Politehnica of Bucharest, 061071 Bucharest, Romania;

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