New chaotic image encryption algorithm based on cross-mapping

Abstract

Chaotic cryptography has been applied to image encryption; however, only the traditional low-dimensional chaotic systems has been widely analyzed or deciphered, which does not show satisfied security and efficiency. To solve this problem, a new algorithm based on cross-chaos map has been created in this article. The image pixels are scrambled under control of high-dimensional chaotic sequence, which is generated by cross chaotic map. The image pixels are substituted by ciphertext feedback algorithm. It can relate encryption required parameters with plaintext and can make a plaintext byte affect more ciphertext bytes. Proved by theoretical analysis and experimental results, the algorithm has higher complex degree and has passed SP800-22 pseudo-random number standard tests, and it has high encryption speed, high security, etc. It can be widely applied in the field of image encryption.