Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-10-10
Nonlinear Sciences
Chaotic Dynamics
14pages, 17figures
Scientific paper
10.1016/j.physleta.2008.04.002
An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness constructed by the piecewise linear map and the noninvertible nonlinearity transform, and then give the discretized systems in the finite digitized state space. The statistic characteristics of the asymptotic deterministic randomness are investigated numerically, such as stationary probability density function and random-like behavior. Furthermore, we analyze the dynamics of the symbolic sequence. Both theoretical and experimental results show that the symbolic sequence of the asymptotic deterministic randomness possesses very good cryptographic properties, which improve the security of chaos based PRBGs and increase the resistance against entropy attacks and symbolic dynamics attacks.
Cheung Yiu-ming
Pei Wenjiang
Wang Kai
Xia Haishan
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