利用洛伦兹谱破解Liu密钥交换协议的最安全态
Cracking the Liu key exchange protocol in its most secure state with Lorentzian spectra
摘要：
我们已经发现了一个安全风险的刘氏密码的基础上的随机信号和反馈，当它利用一个大类的噪声通信在其最安全的状态，稳定状态。为了使脆弱性存在，噪声必须具有可以通过线性滤波转换为类白噪声的频谱。对于开裂，我们利用功率密度谱和自相关函数的自然属性。我们介绍并证明了洛伦兹谱的方法。一些结果的影响涉及的瞬态操作在改变位，噪声的调制产品不能被带限，因此密码是脆弱的。我们建议应用线滤波器提供一个适当的频谱形状，并提高安全性。
英文摘要：
We have found a security risk in the Liu's cypher based on random signals and feedback, when it utilizes a large class of noises for communication in its most secure state, the steady state. For the vulnerability to exist, the noise must have a spectrum which can be transformed to white-like noise by linear filtering. For the cracking, we utilize the natural properties of power density spectra and autocorrelation functions. We introduce and demonstrate the method for Lorentzian spectra. Some of the implications of the results concern the transient operation during changing bits, where the modulation products of noise cannot be band-limited therefore the cypher is vulnerable. We propose the application of line filters to provide a proper spectral shape and to improve the security.
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