期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 27, 期 3, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417500468
关键词
Discrete chaotic map; one-line equilibria; pseudorandom number generator; randomness test; avalanche-effect encryption
资金
- National Natural Science Foundation of China [61074192, 61170037]
- Hong Kong Research Grants Council under the GRF [CityU11208515]
- Fund of Improving Conditions of Running National Ordinary Universities of China [FIPS 140-2]
This paper introduces nine four-dimensional discrete chaotic systems with one-line equilibria (DCSLE), consisting of some simple sine functions. Based on the generalized chaos synchronization (GCS) theorem, a DCSLE is used to construct an eight-dimensional DCSLE GCS system. The new DCSLE GCS system is verified by numerical simulation and then used to design a chaotic pseudorandom number generator (CPRNG). The randomness of ten 100-key streams generated by the CPRNG, two GCS-based CPRNGs, the RC4 PRNG and the ZUC PRNG are tested by the SP800-22/FIPS 140-2 tests. The test results confirm that the randomness performances of the three CPRNGs are promising, for there are no significant correlations between a keystream and any perturbed keystream generated by such CPRNG. Also, the key space of the CPRNG is larger than 2(1170). Finally, the CPRNG is used with an avalanche-effect encryption scheme to encrypt an RGB image, demonstrating that the CPRNG is able to generate the avalanche effects which are similar to those generated by ideal CPRNGs.
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