A novel image encryption scheme with 2D-Logistic map and quadratic residue

作者：Zhu He Gui; Lu Xiao Jun; Zhang Xiang De^*; Tang Qing Song

来源：Journal of Northeastern University, 2014, 35(1): 20-23.

DOI：10.3969/j.issn.1005-3026.2014.01.005

• Image diffusion
• Image encryptions
• Image permutation
• Logistic maps
• Quadratic residues

Considering the importance of image transmission in the public net, a new image encryption algorithm was proposed based on the 2D-Logistic chaos and quadratic residue. Firstly, the original image was shuffled twice with the 2D-Logistic chaos map, and the positions of the original image were changed sufficiently. Then, the shuffled image was turned into a binary sequence, and every 8 bits were called a block. For each block, quadratic residue was applied to encrypt the block, then, the encrypted binary sequence was turned into the encrypted image. Therefore, the statistical information of plain image was changed drastically by the proposed scheme. The proposed image scheme was tested by various types of experiment and security analyses such as histogram analysis, information entropy, key sensitivity and correlation coefficient analysis. All these analyses demonstrated that the proposed scheme can resist statistical attack, information entropy attack, and it is very proper for secure image communication.

• 出版日期2014
• 单位东北大学