A fast image encryption algorithm based on chaotic map

Derived from Sine map and iterative chaotic map with infinite collapse (ICMIC), a new two-dimensional Sine ICMIC modulation map (2D-SIMM) is proposed based on a close-loop modulation coupling (CMC) model, and its chaotic performance is analyzed by means of phase diagram, Lyapunov exponent spectrum a...

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Bibliographic Details
Published in:Optics and lasers in engineering Vol. 84; pp. 26 - 36
Main Authors: Liu, Wenhao, Sun, Kehui, Zhu, Congxu
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.09.2016
Subjects:
Algorithms
Chaos
Chaos theory
Chaotic shift transform
Close-loop modulation coupling model
Complexity
Encryption
Image encryption
Lyapunov exponents
Modulation
Pixels
Chaos
Image encryption
Chaotic shift transform
Close-loop modulation coupling model
ISSN:0143-8166, 1873-0302
Online Access:Get full text
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Summary:Derived from Sine map and iterative chaotic map with infinite collapse (ICMIC), a new two-dimensional Sine ICMIC modulation map (2D-SIMM) is proposed based on a close-loop modulation coupling (CMC) model, and its chaotic performance is analyzed by means of phase diagram, Lyapunov exponent spectrum and complexity. It shows that this map has good ergodicity, hyperchaotic behavior, large maximum Lyapunov exponent and high complexity. Based on this map, a fast image encryption algorithm is proposed. In this algorithm, the confusion and diffusion processes are combined for one stage. Chaotic shift transform (CST) is proposed to efficiently change the image pixel positions, and the row and column substitutions are applied to scramble the pixel values simultaneously. The simulation and analysis results show that this algorithm has high security, low time complexity, and the abilities of resisting statistical analysis, differential, brute-force, known-plaintext and chosen-plaintext attacks. •We propose a hyperchaotic map 2D-SIMM by close-loop modulation coupling method.•Chaotic shift transform (CST) is designed to permute the image pixels.•Based on 2D-SIMM and CST, a fast image encryption algorithm is proposed.•We proposed an extended algorithm for color image using decomposition mechanism.
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ISSN:0143-8166
1873-0302
DOI:10.1016/j.optlaseng.2016.03.019