Design of a new four-dimensional chaotic system and its application to color image encryption

Yan, Shaohui; Li, Lin; Zhao, Weilong

doi:10.1007/s11071-023-08726-x

Cited by 6 publications

(3 citation statements)

References 52 publications

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“…Proposed four-dimensional chaotic system 3.1. Mathematical expressions for the proposed chaotic system and its phase diagrams The literature [11] proposes a 3D chaotic system with a mathematical expression shown in equation (1). The study analyzes the range of values for control parameters a and b.…”

Section: Mealy Finite State Machinementioning

confidence: 99%

“…Image is the most popular way of internet transmission, and it is often used because of its intuitive and informative characteristics. Because images may contain numerous pieces of secret information, such as patient's medical information, national military information, and national defense information [1], the information leakage will bring irreversible losses to users. Image encryption is necessary to protect information because it can achieve efficient image protection through simple algorithms [2].…”

Section: Introductionmentioning

confidence: 99%

“…The traditional low-dimensional chaotic mapping has a single structure and simple complexity, so to improve the security of image encryption schemes, many high-dimensional chaotic systems with better chaotic performance have been proposed and applied to image encryption. Yan et al designed a fourdimensional chaotic system and applied it to color image encryption [1]. Sambas et al proposed a new threedimensional chaotic system that is physically implemented by a circuit and applied to image encryption, but the chaotic performance is weak [11].…”

Section: Introductionmentioning

confidence: 99%

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

Zhang,

Liu,

2024

Phys. Scr.

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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.

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Section: Mealy Finite State Machinementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%