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A New Image Encryption Algorithm with Cantor Diagonal Scrambling Based on the PUMCML System

Wang Xingyuan, Suo Gao, Xiaolin Ye, Shuang Zhou, Wang Mingxu

2021International Journal of Bifurcation and Chaos44 citationsDOI

Abstract

In this paper, a new spatiotemporal chaotic Parameter Uncertainty Mixed Coupled Map Lattice (PUMCML) is proposed. The Cantor diagonal matrix is generated from the Cantor set, and the ordered rotation scrambling strategy for this matrix is used to generate the scrambled image. Cantor set is a fractal system, so the Cantor set has a good effect on chaotic image encryption. The dynamic behavior of the PUMCML system is analyzed. The system has good chaotic property, so it is very suitable for chaotic image encryption. Using the PUMCML system, a diffusion strategy based on the mixture of Arnold and Logistic is proposed. Compared with other algorithms, the encryption effect of the proposed method is better and more secure.

Topics & Concepts

EncryptionScramblingChaoticCantor setAlgorithmMathematicsDiagonalImage (mathematics)FractalSet (abstract data type)Matrix (chemical analysis)Theoretical computer scienceComputer scienceDiscrete mathematicsArtificial intelligenceMathematical analysisMaterials scienceProgramming languageOperating systemComposite materialGeometryChaos-based Image/Signal EncryptionAdvanced Steganography and Watermarking TechniquesCellular Automata and Applications
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