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

• Published in: Mathematics (Basel) Vol. 10; no. 15; p. 2751
• Main Authors: Feng, Wei, Zhao, Xiangyu, Zhang, Jing, Qin, Zhentao, Zhang, Junkun, He, Yigang
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.08.2022
• Subjects: Algorithms; Chaos theory; cryptanalysis; Data encryption; discrete logarithm; Efficiency; Encryption; image encryption; image filtering; Image filters; Logarithms; Mathematics; Permutations; Pixels; Security; security analysis; Transformations
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math10152751

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.