A Novel Plaintext-Related Image Encryption Scheme Based on Chaotic System and Pixel Permutation

Abstract

To improve the abilities of image encryption systems to resist plaintext attacks and differential attacks, a novel plaintext-related image encryption scheme based on Josephus traversing and pixel permutation is proposed. In this scheme, the step sizes of the Josephus traversing are associated with the pixel values, and the Josephus traversing method is improved, increasing the dependence of the cipher image on the plaintext image, further enhancing the plaintext sensitivity of the algorithm, and reducing the number of iterations of the index sequence generated by the chaotic system. By segmenting the image and combining a chaotic system, bit XOR and crossover operations between the modules are performed to achieve the effects of confusion and diffusion, and the randomness of the cipher image is improved. Finally, the confusing and spreading characteristics of the algorithm are further enhanced by cipher feedback. The experimental results and security analysis show that the proposed algorithm is sensitive to keys and can effectively resist attacks such as statistical attacks, selective-plaintext attacks and exhaustive attacks. The algorithm has high potential for real-time and secure image applications.

Quadratic Function Chaotic System and its Application on Digital Image Encryption

“…It will help to generate pseudo-random sequences in chaotic digital image encryption in the future. A typical diffusion algorithm has been analyzed and improved by plaintext related encryption (please refer to [31] and [36] for more details) and cyclic shift operation (please refer to [37] for details). We have also taken the quadratic function chaotic system in the improvement of the algorithm.…”

“…The improved algorithm has strong ability to resist differential attacks. Furthermore, the encryption time is 0.651 seconds for Lena1 and 0.678 seconds for Lena2, is much shorter than 1.268 seconds in [31].…”

A gray image encryption algorithm based on 3D chaotic map and DNA operations

“…Therefore, a new area of DNA image encryption has emerged. With the application of DNA addition, subtraction, XOR, and complementation in the field of image encryption, researchers found that an encryption system based on chaotic systems and DNA computing is easier to implement while ensuring image security [19][20][21][22][23][24][25][26]. For example, Chai al.…”

“…NIU al. [26] presented Josephus traversing and pixel permutation for image encryption scheme. However some algorithms also have some security drawbacks [27][28][29], for example, Zhang al.…”

An image encryption scheme based on swapping operation and block scrambling

“…Large number of encryption algorithms about chaos have been suggested [11][12][13][14]. Wang et al presented a plaintext-related image encryption scheme according to Josephus traversing and pixel permutation [15]. Zhu et al [16] used 3-D cat map 3-D DNA level permutation scheme for encryption scheme.…”