Title
An image encryption scheme based on double chaotic cyclic shift and Josephus problem
Abstract
In recent years, image encryption has become a very popular and effective method to protect digital images. Among many image encryption methods, the image encryption algorithm based on chaotic map has extensive application and profound theoretical basis. In this paper, a novel image encryption algorithm is proposed by combining chaotic map with Josephus problem. The whole encryption process adopts the classical permutation–diffusion structure. In the permutation process, the double chaotic cycle shift algorithm has been proposed by improving the chaotic shift transform method. In the diffusion stage, we extend the definition of Josephus problem by using chaotic map to preserve the Josephus sequence diversity. We then divide the image into sub-blocks and pick one randomly according to Josephus sequence. Furthermore, we change the pixel values of the image through performing modular addition and XOR operations on the pixels between blocks. Through the above process, we get the image encryption algorithm based on double chaotic cycle shift and Josephus problem (JP-DCCS). In the simulation experiment and security analysis, we compare JP-DCCS with the other advanced image encryption algorithms. The results show that JP-DCCS has better performance and higher security.
Year
DOI
Venue
2021
10.1016/j.jisa.2020.102699
Journal of Information Security and Applications
Keywords
DocType
Volume
Image encryption,Chaotic map,Cyclic shift,Josephus problem,Security analysis
Journal
58
ISSN
Citations 
PageRank 
2214-2126
3
0.43
References 
Authors
0
3
Name
Order
Citations
PageRank
Rui Wang130.43
Guoqiang Deng230.43
Xue-Feng Duan330.43