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Breaking a chaos-based secure communication scheme designed by an improved modulation method

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  • Li, Shujun
  • Álvarez, Gonzalo
  • Chen, Guanrong

Abstract

Recently Bu and Wang [Bu S, Wang B-H. Chaos, Solitons & Fractals 2004;19(4):919–24] proposed a simple modulation method aiming to improve the security of chaos-based secure communications against return-map-based attacks. Soon this modulation method was independently cryptanalyzed by Chee et al. [Chee CY, Xu D, Bishop SR. Chaos, Solitons & Fractals 2004;21(5):1129–34], Wu et al. [Wu X, Hu H, Zhang B. Chaos, Solitons & Fractals 2004;22(2):367–73], and Álvarez et al. [Álvarez G, Montoya F, Romera M, Pastor G. Chaos, Solitons & Fractals, in press, arXiv:nlin/0406065] via different attacks. As an enhancement to the Bu–Wang method, an improving scheme was suggested by Wu et al. by removing the relationship between the modulating function and the zero-points. The present paper points out that the improved scheme proposed by Wu et al. is still insecure against a new attack. Compared with the existing attacks, the proposed attack is more powerful and can also break the original Bu–Wang scheme. Furthermore, it is pointed out that the security of the modulation-based schemes proposed by Wu et al. is not so satisfactory from a pure cryptographical point of view. The synchronization performance of this class of modulation-based schemes is also discussed.

Suggested Citation

  • Li, Shujun & Álvarez, Gonzalo & Chen, Guanrong, 2005. "Breaking a chaos-based secure communication scheme designed by an improved modulation method," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 109-120.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:1:p:109-120
    DOI: 10.1016/j.chaos.2004.09.077
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    References listed on IDEAS

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    1. Álvarez, G. & Montoya, F. & Romera, M. & Pastor, G., 2005. "Cryptanalyzing an improved security modulated chaotic encryption scheme using ciphertext absolute value," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1749-1756.
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    Cited by:

    1. Li, Ping & Li, Zhong & Halang, Wolfgang A. & Chen, Guanrong, 2007. "A stream cipher based on a spatiotemporal chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1867-1876.
    2. Arroyo, David & Li, Chengqing & Li, Shujun & Alvarez, Gonzalo, 2009. "Cryptanalysis of a computer cryptography scheme based on a filter bank," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 410-413.
    3. Zheng, G. & Boutat, D. & Floquet, T. & Barbot, J.P., 2009. "Secure communication based on multi-input multi-output chaotic system with large message amplitude," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1510-1517.
    4. Qi, Guoyuan & Chen, Guanrong & Zhang, Yuhui, 2008. "On a new asymmetric chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 409-423.
    5. Tutueva, Aleksandra V. & Moysis, Lazaros & Rybin, Vyacheslav G. & Kopets, Ekaterina E. & Volos, Christos & Butusov, Denis N., 2022. "Fast synchronization of symmetric Hénon maps using adaptive symmetry control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    6. Qi, Guoyuan & Chen, Guanrong & van Wyk, Michaël Antonie & van Wyk, Barend Jacobus & Zhang, Yuhui, 2008. "A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 705-721.
    7. Zaher, Ashraf A., 2009. "An improved chaos-based secure communication technique using a novel encryption function with an embedded cipher key," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2804-2814.
    8. Qi, Guoyuan & van Wyk, Barend Jacobus & van Wyk, Michaël Antonie, 2009. "A four-wing attractor and its analysis," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2016-2030.

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