Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator

Abstract

The design of the new compound two-dimensional chaotic function is presented by exploiting two one-dimensional chaotic functions which switch randomly, and the design is used as a chaotic sequence generator which is proved by Devaney's definition proof of chaos. The properties of compound chaotic functions are also proved. A new image encryption scheme is proposed using the new compound chaos by selecting one of the two one-dimensional chaotic functions randomly and an image pixel permutation, 3D baker scheme is described in detail. In the scheme a new dynamic block dividing of the 3D baker scheme is put forward using the compound chaotic map. The entropy analysis, differential analysis, weak-keys analysis, statistical analysis, cipher random analysis, and cipher sensibility analysis depending on key and plaintext are introduced to test the security of the new image encryption scheme. Through the comparison to compound chaos with 2D baker and DES encryption methods, we come to the conclusion that the new image encryption method with speed and high security solves the problem unable to resist chosen plaintext attack and low precision of one-dimensional chaotic function by perturbation.