scholarly journals A Color Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System

Entropy ◽  
2014 ◽  
Vol 17 (1) ◽  
pp. 28-38 ◽  
Author(s):  
Xia Huang ◽  
Tiantian Sun ◽  
Yuxia Li ◽  
Jinling Liang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Color Image ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Image Encryption Algorithm

scholarly journals Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 258
Author(s):  
Heping Wen ◽  
Chongfu Zhang ◽  
Lan Huang ◽  
Juxin Ke ◽  
Dongqing Xiong
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Secure Communication ◽  
Color Image ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Experimental Simulation ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Image Encryption Algorithm

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.

scholarly journals A Hyperchaotic Color Image Encryption Algorithm and Security Analysis

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Chenghai Li ◽  
Fangzheng Zhao ◽  
Chen Liu ◽  
Lei Lei ◽  
Jie Zhang
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Gray Code ◽  
Chaotic Sequence ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
One Dimensional ◽  
Dimensional Matrix ◽  
Image Encryption Algorithm

The current common color image encryption algorithms applying “scrambling-diffusion” have some problems, such as the small key space, the cumbersome encryption process, and the security vulnerability. Aiming at these problems, this paper proposes a new color image encryption algorithm based on the hyperchaotic system and applying “transforming-scrambling-diffusion” model. Before scrambling, in accordance with the plaintext itself attributes, the number of iterations was calculated, all the pixel values of color image were transformed into gray code iteratively, and then the chaotic sequence was generated from the four-dimensional hyperchaotic system. Pixel matrix after gray code transformation was converted to one-dimensional matrix. The chaotic sequence was sorted and the one-dimensional matrix was changed positions correspondingly to complete the whole domain scrambling. And then, bit-operation was executed for image diffusion. The ciphertext can be obtained by matrix transformation. The key sensitivity, histogram, information entropy, correlation, and other evaluation indexes were calculated and analyzed through the simulation experiment. Compared with other algorithms, it can be proved that the encryption algorithm has the strong antiattack ability.

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