Cracking the Liu key exchange protocol in its most secure state with Lorentzian spectra

Details Cracking the Liu key exchange protocol in its most secure state with Lorentzian spectra Cracking the Liu key exchange protocol in its most secure state with Lorentzian spectra

2009-10-05

arxiv.org/abs/0910.0665v5

Fluctuation and Noise Letters Vol. 9, No. 1 (2010) 37-45

Physics

Data Analysis, Statistics and Probability

Accepted for publication at November 18, 2009

Scientific paper

10.1142/S0219477510000058

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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