Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform

Wei Feng, Xiangyu Zhao, Jing Zhang, Zhentao Qin, Junkun Zhang and Yigang He
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Wei Feng: School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China
Xiangyu Zhao: School of Electrical and Information Engineering, Panzhihua University, Panzhihua 617000, China
Jing Zhang: School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China
Zhentao Qin: School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China
Junkun Zhang: School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China
Yigang He: School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China

Mathematics, 2022, vol. 10, issue 15, 1-24

Abstract: Image encryption is an effective way to protect image data. However, existing image encryption algorithms are still unable to strike a good balance between security and efficiency. To overcome the shortcomings of these algorithms, an image encryption algorithm based on plane-level image filtering and discrete logarithmic transformation (IEA-IF-DLT) is proposed. By utilizing the hash value more rationally, our proposed IEA-IF-DLT avoids the overhead caused by repeated generations of chaotic sequences and further improves the encryption efficiency through plane-level and three-dimensional (3D) encryption operations. Aiming at the problem that common modular addition and XOR operations are subject to differential attacks, IEA-IF-DLT additionally includes discrete logarithmic transformation to boost security. In IEA-IF-DLT, the plain image is first transformed into a 3D image, and then three rounds of plane-level permutation, plane-level pixel filtering, and 3D chaotic image superposition are performed. Next, after a discrete logarithmic transformation, a random pixel swapping is conducted to obtain the cipher image. To demonstrate the superiority of IEA-IF-DLT, we compared it with some state-of-the-art algorithms. The test and analysis results show that IEA-IF-DLT not only has better security performance, but also exhibits significant efficiency advantages.

Keywords: image encryption; cryptanalysis; image filtering; discrete logarithm; security analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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