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Design Of Chaotic Pseudo-Random Bit Generator And Its Applications In Stream-Cipher Cryptography

Author

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  • XING-YUAN WANG

    (School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, China)

  • XIAO-JUAN WANG

    (School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, China)

Abstract

Because of the sensitivity of chaotic systems on initial conditions/control parameters, when chaotic systems are realized in a discrete space with finite states, the dynamical properties will be far different from the ones described by the continuous chaos theory, and some degradation will arise. This problem will cause the chaotic trajectory eventually periodic. In order to solve the problem, a new binary stream-cipher algorithm based on one-dimensional piecewise linear chaotic map is proposed in this paper. In the process of encryption and decryption, we employ a secret variant to perturb the chaotic trajectory and the control parameter to lengthen the cycle-length of chaotic trajectory. In addition, we design a nonlinear principle to generate a pseudo-random chaotic bit sequence as key stream. Cryptanalysis shows that the cryptosystem is of high security.

Suggested Citation

  • Xing-Yuan Wang & Xiao-Juan Wang, 2008. "Design Of Chaotic Pseudo-Random Bit Generator And Its Applications In Stream-Cipher Cryptography," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 813-820.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:05:n:s0129183108012479
    DOI: 10.1142/S0129183108012479
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    Cited by:

    1. Tutueva, Aleksandra V. & Nepomuceno, Erivelton G. & Karimov, Artur I. & Andreev, Valery S. & Butusov, Denis N., 2020. "Adaptive chaotic maps and their application to pseudo-random numbers generation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Zheng, Jun & Hu, Hanping & Ming, Hao & Zhang, Yanxia, 2021. "Design of a hybrid model for construction of digital chaos and local synchronization," Applied Mathematics and Computation, Elsevier, vol. 392(C).

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