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Cryptanalysis of the public key encryption based on multiple chaotic systems

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  • Zhang, Linhua

Abstract

Recently, Ranjan proposed a novel public key encryption technique based on multiple chaotic systems [Phys Lett 2005;95]. Unfortunately, Wang soon gave a successful attack on its special case based on Parseval’s theorem [Wang K, Pei W, Zhou L, et al. Security of public key encryption technique based on multiple chaotic system. Phys Lett A, in press]. In this letter, we give an improved example which can avoid the attack and point out that Wang cannot find the essential drawback of the technique. However, further experimental result shows Ruanjan’s encryption technique is inefficient, and detailed theoretic analysis shows that the complexity to break the cryptosystem is overestimated.

Suggested Citation

  • Zhang, Linhua, 2008. "Cryptanalysis of the public key encryption based on multiple chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 669-674.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:669-674
    DOI: 10.1016/j.chaos.2006.09.047
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    References listed on IDEAS

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    1. Lian, Shiguo & Sun, Jinsheng & Wang, Zhiquan, 2005. "A block cipher based on a suitable use of the chaotic standard map," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 117-129.
    2. Khan, Muhammad Khurram & Zhang, Jiashu & Tian, Lei, 2007. "Chaotic secure content-based hidden transmission of biometric templates," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1749-1759.
    3. Lei, Min & Meng, Guang & Feng, Zhengjin, 2006. "Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 264-270.
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    Cited by:

    1. Qi Xie & Yuanyuan Zhao, 2023. "Physical-Unclonable-Function-Based Lightweight Three-Factor Authentication for Multiserver Architectures," Mathematics, MDPI, vol. 12(1), pages 1-20, December.
    2. Yicheng Yu & Oliver Taylor & Rui Li & Baiho Sunagawa, 2021. "An Extended Chaotic Map-Based Authentication and Key Agreement Scheme for Multi-Server Environment," Mathematics, MDPI, vol. 9(8), pages 1-22, April.

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