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A Bidirectional Generalized Synchronization Theorem-Based Chaotic Pseudo-random Number Generator

Author(s): Han Shuangshuang | Min Lequan

ISSN 1693-6930

Volume: 11;
Issue: 2;
Start page: 409;
Date: 2013;
Original page

Keywords: generalized synchronization | pseudo-random sequence | FIPS-140-2 tests | bidirectional discrete system

Based on a bidirectional generalized synchronization theorem for discrete chaos system, this paper introduces a new 5-dimensional bidirectional generalized chaos synchronization system (BGCSDS), whose prototype is a novel chaotic system introduced in [12]. Numerical simulation showed that two pair variables of the BGCSDS achieve generalized chaos synchronization via a transform H.A chaos-based pseudo-random number generator (CPNG) was designed by the new BGCSDS. Using the FIPS-140-2 tests issued by the National Institute of Standard and Technology (NIST) verified the randomness of the 1000 binary number sequences generated via the CPNG and the RC4 algorithm respectively. The results showed that all the tested sequences passed the FIPS-140-2 tests. The confidence interval analysis showed the statistical properties of the randomness of the sequences generated via the CPNG and the RC4 algorithm do not have significant differences.
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