Medical image encryption algorithm based on a new five-dimensional multi-band multi-wing chaotic system and QR decomposition

• Published in: Scientific reports Vol. 14; no. 1; pp. 402 - 17
• Main Authors: Zhuang, Zeben, Zhuang, Zhiben, Wang, Tao
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 03.01.2024; Nature Publishing Group; Nature Portfolio
• Subjects: 639/705; 639/766; 692/308; Algorithms; Decomposition; Humanities and Social Sciences; multidisciplinary; Science; Science (multidisciplinary); Statistical analysis; Theoretical analysis
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-023-50661-9

In this study, we propose a medical image encryption algorithm based on a new five-dimensional (5D) multi-band multi-wing chaotic system and QR decomposition. First, we construct a new 5D multi-band multi-wing chaotic system through feedback control, which has a relatively large Lyapunov exponent. Second, we decompose the plaintext image matrix and chaotic sequence into an orthogonal matrix and upper triangular matrix using QR decomposition. We multiply the orthogonal matrix decomposed from the original image by the orthogonal matrix decomposed from the chaotic sequence. In this process, we use the chaotic sequence to control left and right multiplication. Simultaneously, we chaotically rearrange the elements in the upper triangular matrix using the improved Joseph loop and then multiply the two resulting matrices. Finally, we subject the product matrix to bit-level scrambling. From the theoretical analysis and simulation results, we observed that the key space of this method was relatively large, the key sensitivity was relatively strong, it resisted attacks of statistical analysis and gray value analysis well, and it had a good encryption effect for medical images.