Image Encryption Using Josephus Problem and Filtering Diffusion

Image encryption is an efficient visual technology to protect private images. This paper develops an image encryption algorithm utilizing the principles of the Josephus problem and the filtering technology. The encryption algorithm follows the classical diffusion and confusion structure. The principle of Josephus problem is used to shuffle the image pixels to different positions to achieve the confusion property. Using a randomly generated filter, the filtering technology can spread slight changes of the original image to all pixels of the cipher image to obtain diffusion property. The simulation results show that the developed image encryption algorithm is able to encrypt different kinds of images into cipher images with uniform distribution. The security analysis demonstrates that it has an extremely sensitive secret key, can resist various security attacks, and has a better performance than several advanced image encryption algorithms.