A novel chaotic image encryption algorithm based on improved baker map and logistic map

• Published in: Multimedia tools and applications Vol. 78; no. 15; pp. 22023 - 22043
• Main Authors: Luo, Yuqin, Yu, Jin, Lai, Wenrui, Liu, Lingfeng
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2019; Springer Nature B.V
• Subjects: Algorithms; Chaos theory; Computer Communication Networks; Computer Science; Data encryption; Data Structures and Information Theory; Encryption; Multimedia Information Systems; Parameters; Security; Special Purpose and Application-Based Systems; State variable; Statistical tests; Chaos; Two-dimensional Baker map; Logistic Map; Image Encryption
• ISSN: 1380-7501; 1573-7721
• DOI: 10.1007/s11042-019-7453-3

A novel image encryption algorithm based on double chaotic systems is proposed in this paper. On account of the limited chaotic range and vulnerability of a single chaotic map, we use the two-dimensional Baker chaotic map to control the system parameters and the state variable of the logistic chaotic map. After control, the parameter of the logistic map is varying, and the generated logistic sequence is non-stationary. The improved map has been proven to be random and unpredictable by complexity analysis. Furthermore, a novel image encryption algorithm, including shuffling and substituting processes, is proposed based on the improved chaotic maps. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and it can be competitive with some other recently proposed image encryption algorithms.