Secure chaotic system with application to chaotic ciphers

Authors:
Xiaomin Wang;Wenfang Zhang;Wei Guo;Jiashu Zhang
Affiliations:
Key Laboratory of Traffic Information Engineering and Control, Southwest Jiaotong University, Chengdu 610031, PR China and Key Laboratory of Signal and Information Processing of Sichuan Province, ...;Key Laboratory of Information Security and National Computing Grid, Southwest Jiaotong University, Chengdu 610031, PR China;Key Laboratory of Information Security and National Computing Grid, Southwest Jiaotong University, Chengdu 610031, PR China;Key Laboratory of Signal and Information Processing of Sichuan Province, Southwest Jiaotong University, Chengdu 610031, PR China
Venue:
Information Sciences: an International Journal
Year:
2013

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Abstract

Chaotic cryptography has been widely investigated in the past few years. However, the undesirable dynamical properties of the underlying chaotic systems degrade the security of chaotic ciphers and thereby discourage their applications. To address this issue, this paper first presents discrimination criteria for secure chaotic systems (SCSs) whose dynamical properties make them useful for the construction of secure ciphers and then discusses a class of chaotic systems, digital dynamical filters (DDFs), that meet the SCS criteria. Then, a DDF-based pseudorandom bit generator (DDF-PRBG) for constructing stream ciphers is proposed. Theoretical analysis and simulation results demonstrate that both the DDF and the DDF-PRBG, which satisfy the SCS criteria, have desirable cryptographic properties. Consequently, the SCS criteria and the DDF reference model can be used to overcome the problems caused by the dynamical properties of the underlying chaotic systems and increase the security of chaotic ciphers.