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A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems

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Open access
Authors
Li, Y.
Feng, Q.
Liu, Wan-quan
Wang, Y.
Date
2009
Type
Conference Paper

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Citation
Li, Y. and Feng, Q. and Liu, Wan-quan and Wang, Y. 2009. A new class of efficient piecewise nonlinear chaotic maps for secure cryptosystems, in Lai, L. L. (ed), ICMLC 2009, Jul 12 2009, pp. 333-338.Baoding, Hebei, China: IEEE.
Source Title
Proceedings of the 8th International conference on Machine learning and Cybernetics
Source Conference
ICMLC 2009
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School of Science and Computing
Department of Computing
Faculty of Science and Engineering
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Abstract

In this paper we construct a new class of nonlinear chaotic maps for secure cryptosystems. These maps can overcome the security holes brought by the "piecewise linearity" of the previous Piecewise Linear Chaotic Maps (PWLCM) due to a fact that the chaotic sequences generated by the derived iterative system based on the proposed maps are proved to have perfect dynamic properties, such as uniform invariant distribution, d-like autocorrelation function etc. Furthermore, the relative quantized two-value sequences also have perfect secure statistical characteristics. In terms of computing speed, the proposed maps have faster speed than the recently proposed nonlinear "piecewise-square-root" maps (PSRM), and they actually have equivalently the same computing speed with the linear PWLCM.