NDLI: A Generalized Stability Theorem for Continuous Chaos Systems and Design of Pseudorandom Number Generator

Content Provider	IEEE Xplore Digital Library
Author	Wang, Xue Min, Lequan Zhang, Mei
Copyright Year	2015
Abstract	This study first proposes a concept of generalized stability (GST) for continuous chaos system, which is the generalization of chaos generalized synchronization (CGS). Then this study sets up a constructive theorem of GST for continuous chaos system, which provides a general representation of GST in continuous chaos system. Using the theorem designs an 8- dimensional GST system consisting of a driving chaotic system and a driven chaotic system. Numerical simulation verifies the chaotic dynamic behaviors of such GST system, which is used to design a chaotic pseudorandom number generator (CPRNG). Using FIPS 140-2 test suite and G FIPS 140-2 test suite test the randomness of four 1,000-key streams consisting of 20,000 bits generated respectively by the CPRNG, the RC4 algorithm, the ZUC algorithm and a 6-dimensional CGS-based CPRNG. The results show that the randomness performances of the CPRNG is promising, and suggest that the statistical properties of the randomness of the sequences generated via the two CPRNGs and the two algorithms do not have significant differences. In addition, the key space of the CPRNG is larger than 21195.
Starting Page	375
Ending Page	380
File Size	3819819
Page Count	6
File Format	PDF
e-ISBN	9781467386609
DOI	10.1109/CIS.2015.97
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-19
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaotic communication Heuristic algorithms pseudorandom number generator constructive theorem Generators Stability analysis FIPS 140-2 test Yttrium Synchronization Generalized stability 4D chaotic map
Content Type	Text
Resource Type	Article

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