A Secure and Robust Image Encryption Based on Chaotic Permutation Multiple Circular Shrinking and Expanding

In this paper, we propose a secure and robust image encryption based on the chaotic permutation multiple circular shrinking and expanding. An image with the n×m size is encrypted in n set columns and m set rows using the permutation multiple circular and linked bitxor. The proposed method characterized by a very large key space, such that for an image size of 256×256, the key space reaches 2 which is probably the largest key space ever recorded in a chaotic image encryption. It is sensitive to changes in key, so that the change 1 bit in initial key among 2 possibilities is likely to produce a significant different ciphered images (for image peppers NPCR 99.65%, UACI 33.35, r < 0.008). It also resistant to differential attack due to a change 1 bit in the plain image lead to completely different ciphered image (for image lena NPCR 99.60% and UACI 33.47%). The proposed method is also resistant to JPEG compression, noise scheme (Gaussian, Poisson, Salt&Pepper, and speckle), data loss, and brightness-contrast adjustment, so the ciphered image can be stored in smaller file size and transmitted in a noisy communication system.