Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption

The security of digital images has become increasingly important as information technology has advanced considerably. To ensure image security and improve the efficiency of image encryption, a novel color image encryption algorithm is proposed in this paper. Firstly, a novel three-dimensional chaotic system with extreme multistability is proposed and employed to generate the chaotic sequences to be used in the permutation and diffusion processes. Secondly, the proposed bidirectional spiral transformation is used to permute the R, G and B components extracted from the color plain image. Thirdly, the permuted pixel sequence is dynamically encoded into a DNA sequence. To further increase the permutation effect, the DNA sequence is permuted again using the index sequence. Finally, the dynamical DNA operations are performed to diffuse the permuted DNA sequence, and the designed look-up table method is used to quickly obtain the DNA operation results. The key space of the proposed algorithm is 10266, which is large enough to resist the brute-force attacks. The average entropy value of the cipher image of Peppers is 7.9971, which is much closer to the theoretical entropy value 8. The dynamic DNA operations process only takes up 0.032349s, which shows the advantage of the proposed look-up table method. Therefore, the proposed algorithm can be applied to the application that require high confidentiality and real-time.

Section: Differential Attack Analysismentioning

confidence: 51%

Section: Differential Attack Analysismentioning

confidence: 99%

Color image encryption algorithm based on bidirectional spiral transformation and DNA coding

Wang¹,

Zhang²,

Zhao³

2023

“…In 1989, the chaos theory was first combined with image encryption algorithms by R. Matthews [14]. Since then, chaotic cryptography has entered a period of rapid development, and more and more image encryption algorithms based on chaotic systems have been proposed [15][16][17][18][19][20][21]. For instance, An et al [15] constructed a neuron model based on electromagnetic induction and applied it to the image encryption algorithm.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a time-dependent memristor-based chaotic system and its application in image encryption

Xiong,

Wang,

2024

Self Cite

Compared with ordinary chaotic systems, memristor-based chaotic systems have more complex dynamic behaviors and are more suitable for image encryption algorithms. In this paper, a four-dimensional chaotic system is constructed by introducing a cubic nonlinear memristor into a three-dimensional chaotic system. Firstly, the dynamic characteristics of the constructed memristor-based chaotic system are analyzed in detail, and the simulation results show that the system has different attractors with different topological structures at different simulation times. Within a fixed simulation time, the system has 15 attractors with different topological structures under different parameter values, and there is a phenomenon of multiple stability in the system, indicating high complexity. Based on the above discoveries, a color image encryption algorithm including scrambling and diffusion is designed. Experimental results show that this algorithm can perfectly hide the information of the plaintext image, and the decrypted image is consistent with the plaintext image. Finally, the security of the algorithm is analyzed by using key space and so on. The analysis results indicate that the encryption algorithm designed in this paper can effectively resist external attacks and has high security.

“…Traditional text encryption methods are not suitable for it. Therefore, researchers have been committed to finding new technologies to encrypt medical images, such as Deoxyribonucleic acid (DNA) coding [11,12] and compressed sensing [13]. Chaotic systems are characterized by initial condition sensitivity, nonperiodicity, pseudo-randomness, and large key space.…”

Section: Introductionmentioning

confidence: 99%

Selective region medical image encryption algorithm based on cascade chaos and two-dimensional Joseph traversal

Chen

Li²,

Lin³

et al. 2023

Aiming at the problem that medical image information is easy to be stolen, tampered and maliciously destroyed in the transmission process, a selective region medical image encryption algorithm based on cascade chaos is proposed. The encryption algorithm consists of two stages: region of interest (ROI) encryption and full image encryption. First, the Cubic map is cascaded with an improved Cosine map. Through the analysis of dynamic characteristics, the cascade map has better chaotic performance than the traditional chaotic systems. The key sequence is generated by the cascade map and the image. Then edge detection is performed on the image to determine ROI. ROI is divided into multiple image blocks, and a new gradient algorithm is used to label the sub-blocks containing important information. A modified two-dimensional Joseph traversal method is used to scramble the positions of pixels in each sub-block, and further modify their pixel values with a round of diffusion. Finally, we use a block V-shape scrambling method to scramble the entire image. The final encrypted image is obtained through a round of bidirectional diffusion of all pixels using chaotic sequences. Simulation results and security analysis show that the algorithm has large key space and sufficient security. It can effectively resist various malicious attacks.