NDLI: A 6 dimensional chaotic generalized synchronization system and design of pseudorandom number generator with application in text encryption

Content Provider	IEEE Xplore Digital Library
Author	Hao, Ruibin Min, Lequan Han, Dandan Wang, Xue
Copyright Year	2014
Description	Author affiliation: Schools of Mathematics and Physics, University of Science and Technology Beijing, China 100083 (Hao, Ruibin; Min, Lequan; Wang, Xue) \|\| Schools of Automation and Electrical Engineering, University of Science and Technology Beijing, China 100083 (Han, Dandan)
Abstract	In this paper, a novel 3-dimensional discrete chaotic system is introduced. The calculated Lyapunov exponents of the system are 1.0287, 0.024615 and −0.58505. Numerical simulations show that the dynamic behaviors of the chaotic system have chaotic attractor characteristics. Based on the chaotic system and a chaos generalized synchronization (GS) theorem, a 6-dimensional chaotic generalized synchronic system is constructed. Using the chaotic generalized synchronic system and a transformation T form ℝ to an integer set {0, 1} designs a chaos-based pseudorandom number generator (CPRNG). Using FIPS 140-2 tests the CPRNG. The result show that the CPRNG are all passed the FIPS 140-2 criteria. Numerical simulations show that for the perturbations of the keys of the CPRNG which are larger than $10^{−16},$ the keystreams have an average 50.0067% different codes which are different from the codes generated by unperturbed keys. And the keystreams have an average 49.9763% different codes which are different from the codes generated by the function of Matlab. The results imply that the key stream of the CPRNG has sound pseudorandomness. Using the pseudorandom number generator, a text encryption example is given. Experimental results show that, the resulting ciphertext can be well hidden plaintext.
Starting Page	1826
Ending Page	1831
File Size	1274821
Page Count	6
File Format	PDF
ISBN	9781479921881
ISSN	21645221
e-ISBN	9781479921867
DOI	10.1109/ICOSP.2014.7015308
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-10-19
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Generators Encryption Synchronization Educational institutions Transforms Three-dimensional displays Text encryption 3D chaotic system generalized chaos synchronization pseudorandom number generator FIPS 140-2 test
Content Type	Text
Resource Type	Article

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