A chaotic image encryption algorithm based on sliding window and pseudo-random stack shuffling

This paper introduces a new one-dimensional chaotic system, which can be considered as an improvement upon the Bernoulli map. The Quadratic Bernoulli Chaotic System (QBCS) is introduced by replacing the linear segment of the Bernoulli map's two segments with quadratic nonlinearity. Subsequently...

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Bibliographic Details
Published in:Nonlinear dynamics Vol. 112; no. 15; pp. 13539 - 13569
Main Authors: Cao, Pengfei, Teng, Lin
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.08.2024
Springer Nature B.V
Subjects:
Algorithms
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Dilution
Dynamical Systems
Engineering
Mechanical Engineering
Pseudorandom
Segments
Sliding
Vibration
Quadratic Bernoulli Chaotic System (QBCS)
Image encryption
Dynamic stack sequence
Sliding window
ISSN:0924-090X, 1573-269X
Online Access:Get full text
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Summary:This paper introduces a new one-dimensional chaotic system, which can be considered as an improvement upon the Bernoulli map. The Quadratic Bernoulli Chaotic System (QBCS) is introduced by replacing the linear segment of the Bernoulli map's two segments with quadratic nonlinearity. Subsequently, an image encryption algorithm is proposed, utilizing a sliding window mechanism and dynamic stack sequences. Initially, the position of the initial window is determined, and to ensure the traversal of the window, the initial window position is set to the top-left corner of the original image. Subsequently, the step size for window movement is determined, and chaotic sequences generated by QBCS are used to scramble the contents selected by each window. Moreover, on the basis of the standard index scrambling concept, a dynamic stack traversal method is employed, wherein the behavior of elements entering and exiting the stack is determined according to the chaotic sequences generated by QBCS, effectively expanding the value space of the chaotic index sequence. Furthermore, combined with the chaotic sequences generated by QBCS, a diffusion process using distribution dilution is applied to the contents within each window. Experimental simulations and performance analysis demonstrate the algorithm's robust security.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-09727-0