Title :
A new class of efficient Piecewise nonlinear Chaotic Maps for secure cryptosystems
Author :
Li, Yong-kui ; Feng, Qiao-sheng ; Liu, Wan-Quan ; Wang, Yun-qiong
Author_Institution :
Inst. of Comput. Sci. & Inf. Technol., Yunnan Normal Univ., Kunming, China
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 ldquopiecewise linearityrdquo 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, delta-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 ldquopiecewise-square-rootrdquo maps (PSRM), and they actually have equivalently the same computing speed with the linear PWLCM.
Keywords :
cryptography; iterative methods; statistical analysis; iterative system; piecewise nonlinear chaotic map; secure cryptosystem; statistical characteristic; Autocorrelation; Chaos; Computational efficiency; Computer science; Cryptography; Cybernetics; Linearity; Logistics; Machine learning; Security; Chaotic maps; Cryptography; Invariant distribution; Nonlinear maps;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212550