Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos
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School of Electronic and Information, Zhongshan Institute, University of Electronic Science and Technology of China, Zhongshan 528402, China
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School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
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Center of Information and Technology, Dongguan Polytechnic, Dongguan 523808, China
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Guangdong Mechanical and Electronical College of Technology, Guangzhou 510515, China
*
Author to whom correspondence should be addressed.
Academic Editor: Amelia Carolina Sparavigna
Entropy 2021, 23(2), 258; https://doi.org/10.3390/e23020258
Received: 1 February 2021
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Revised: 13 February 2021
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Accepted: 13 February 2021
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Published: 23 February 2021
(This article belongs to the Special Issue Entropy in Image Analysis III)
Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security analysis. This paper conducts a comprehensive security analysis of a color image encryption algorithm using a fractional-order hyperchaotic system (CIEA-FOHS). Experimental simulation based on excellent numerical statistical results supported that CIEA-FOHS is cryptographically secure. Yet, from the perspective of cryptanalysis, this paper found that CIEA-FOHS can be broken by a chosen-plaintext attack method owing to its some inherent security defects. Firstly, the diffusion part can be eliminated by choosing some special images with all the same pixel values. Secondly, the permutation-only part can be deciphered by some chosen plain images and the corresponding cipher images. Finally, using the equivalent diffusion and permutation keys obtained in the previous two steps, the original plain image can be recovered from a target cipher image. Theoretical analysis and experimental simulations show that the attack method is both effective and efficient. To enhance the security, some suggestions for improvement are given. The reported results would help the designers of chaotic cryptography pay more attention to the gap of complex chaotic system and secure cryptosystem.
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Keywords:
chaos; image encryption; cryptanalysis
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MDPI and ACS Style
Wen, H.; Zhang, C.; Huang, L.; Ke, J.; Xiong, D. Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos. Entropy 2021, 23, 258. https://doi.org/10.3390/e23020258
AMA Style
Wen H, Zhang C, Huang L, Ke J, Xiong D. Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos. Entropy. 2021; 23(2):258. https://doi.org/10.3390/e23020258
Chicago/Turabian StyleWen, Heping, Chongfu Zhang, Lan Huang, Juxin Ke, and Dongqing Xiong. 2021. "Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos" Entropy 23, no. 2: 258. https://doi.org/10.3390/e23020258
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