An image encryption scheme based on the four-dimensional chaotic system and the mealy finite state machine

Abstract

This paper proposes a four-dimensional hyperchaotic system to overcome the defect of weak encryption effect due to the simple complexity of low-dimensional chaotic systems in chaos-based image encryption schemes, which is verified to have better chaotic properties by dynamics analysis, sensitivity analysis, and randomness test. In addition, this paper proposes an image encryption scheme by combining the proposed chaotic system with the Mealy finite state machine (MFSM) to overcome the problem that some schemes are not resistant to statistical analysis. Firstly, the chaotic sequence is applied in the Knuth-Durstenfeld shuffling method to scramble the original image efficiently; secondly, according to the different information contained in the bit-plane, the pixel is decomposed and cyclically shifted at the bit level to achieve bit-level scrambling and diffusion; thirdly, the chaotic sequence is applied to select the rules for DNA encoding, and the diffusion process is achieved by Mealy finite state machine transformation; lastly, decoding the diffused image by selecting DNA rules randomly to get cipher image. This paper gives the experimental results, demonstrating that the algorithm is highly secure. It can improve the encryption algorithm's sensitivity to plaintext and resist attacks such as differential attacks and select attacks.

Dynamical analysis and circuit realization of a high complexity fourth-order double-wing chaotic system with transient chaos and its application in image encryption

“…For example, Huang et al proposed a chaotic image encryption algorithm based on spiral traversal and finite field bidirectional diffusion [15]. Zhang, et al proposed an image encryption scheme that combines the proposed chaotic system with Mealy finite state machine (MFSM) [16]. Mao et al proposed a real-time image encryption algorithm based on the combination of chaotic mapping and optimally boosted wavelet transforms [17].…”

Multi-Objective Region Encryption Algorithm Based on Adaptive Mechanism

“…It has characteristics such as sensitivity to initial conditions, randomness, and ergodicity [8], which can generate random chaotic sequences. Therefore, it is widely used in the field of image encryption [9][10][11][12][13][14]. Chen et al [15] combined chaotic systems with compressive sensing, used SHA-3 to calculate the hash value of the preprocessed image, and designed a new mathematical model to calculate the key.…”