Medical Image Encryption Based on Josephus Traversing and Hyperchaotic Lorenz System

Abstract

This study proposes a new medical image encryption scheme based on Josephus traversing and hyperchaotic Lorenz system. First, a chaotic sequence is generated through hyperchaotic system. This hyperchaotic sequence is used in the scrambling and diffusion stages of the algorithm. Second, in the scrambling process, the image is initially confused by Josephus scrambling, and then the image is further confused by Arnold map. Finally, generated hyperchaos sequence and exclusive OR operation is used for the image to carry on the positive and reverse diffusion to change the pixel value of the image and further hide the effective information of the image. In addition, the information of the plaintext image is used to generate keys used in the algorithm, which increases the ability of resisting plaintext attack. Experimental results and security analysis show that the scheme can effectively hide plaintext image information according to the characteristics of medical images, and is resistant to common types of attacks. In addition, this scheme performs well in the experiments of robustness, which shows that the scheme can solve the problem of image damage in telemedicine. It has a positive significance for the future research.

Securing Images Using High Dimensional Chaotic Maps and DNA Encoding Techniques

“…The obtained correlation coefficients are lower compared to those of other existing algorithms, indicating a higher level of pixel diffusion and reduced correlation between neighboring pixels. Table 7 presents a comparative analysis of our proposed approach with the methods proposed by Zang [31], Zhu [33,34], and Es-Sabry [10]. The results clearly demonstrate that our encryption method outperforms the other competing methods in terms of correlation coefficient.…”

“…The authors in [33] propose a novel medical image encryption scheme that utilizes a combination of Josephus traversing and a hyperchaotic Lorenz system to enhance encryption security. In this approach, a chaotic sequence generated by a hyperchaotic system is employed in both the diffusion and scrambling stages.…”

2D compressed sensing of encrypted images based on complex‐valued measurement matrix

“…During image encryption, the key is the initial value of the chaotic system, and the pseudo-random sequence is generated iteratively by chaotic mapping, which is both ergodic and sensitive to the initial value. The four-dimensional hyperchaotic Lorenz system [26] selected here is defined as follows:…”

“…During image encryption, the key is the initial value of the chaotic system, and the pseudo‐random sequence is generated iteratively by chaotic mapping, which is both ergodic and sensitive to the initial value. The four‐dimensional hyperchaotic Lorenz system [26] selected here is defined as follows: $$$$\begin{equation} \left\{ { \def\eqcellsep{&}\begin{array}{@{}*{1}{c}@{}} {\dot{x} = a\left( {y - x} \right) + w}\\[6pt] {\dot{y} = cx - y - xz}\\[6pt] {\dot{z} = xy - bz}\\[6pt] {\dot{w} = - yz + rw} \end{array} } \right. \end{equation}$$$$where $$a = 10,\;b = 8/3,\;c = 28,\; - 1.52 \le r \le - 0.06$$, the system is currently in a state of hyperchaos.…”

3D medical image encryption algorithm using biometric key and cubic S-box

“…Kamal et al [1] proposed a medical image encryption algorithm based on image blocks scrambling and chaos, which exhibited good characteristics in encrypting both grey and color medical images. Yang et al [2] introduced a new medical image encryption scheme based on Josephus traversing and hyperchaotic Lorenz system. This scheme can effectively hide plaintext image information according to the characteristics of medical images, and is resistant to common types of attacks.…”