Breaking a chaos-based secure communication scheme designed by an improved modulation method
Breaking a chaos-based secure communication scheme designed by an improved modulation method
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DOI：
10.1016/j.chaos.2004.09.077
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发表时间：
2004-11
影响因子：
7.8
通讯作者：
Shujun Li;G. Álvarez;Guanrong Chen
中科院分区：
文献类型：
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作者：
Shujun Li;G. Álvarez;Guanrong Chen
最近Bu和Wang [Bu S，Wang B-H. Chaos，Solitons & Fractals 2004;19（4）：919-24]提出了一种简单的调制方法，旨在提高基于混沌的安全通信的安全性，以对抗基于返回映射的攻击。不久，Chee等人[Chee CY，Xu D，Bishop SR. Chaos，Solitons & Fractals 2004;21（5）：1129-34]，Wu等人[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.作为对Bu-Wang方法的改进，Wu等人提出了一种改进方案，去掉了调制函数与零点之间的关系。本文指出Wu等人提出的改进方案对一种新的攻击仍然是不安全的。与现有的攻击相比，该攻击不仅具有更强的攻击能力，而且还能攻破原有的Bu-Wang方案。此外，还指出Wu等人提出的基于调制的方案的安全性从纯密码学的角度来看并不令人满意。这类基于调制的方案的同步性能进行了讨论。
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.