Modelling of dynamical system and generalised circulant matrix in image encryption

Abstract

In this paper, a modelled image encryption scheme is presented, of which generalised circulant matrix is employed together with dynamical chaotic system. The strong correlations among adjacent pixels in plain-image can be declined greatly by the proposed scheme. Meanwhile, the diffusion transform is considered simultaneously to avoid statistical analysis, known plaintext and chosen plaintext attack. The experimental results show that the proposed scheme can suggest an efficient way to hide the image information, and has the advantages of large key space, sensitive to initial conditions and zero correlation between adjacent pixels in cipher-image. Moreover, the grey values in the cipher-image are distributed symmetrically. The proposed image scheme can be applied to practical image information transmission and protection in the public.

Keywords:

• image encryption
• generalised circulant matrix
• dynamical chaotic system
• permutation
• diffusion

We would thank the editor and referees who have contributed to this paper. This research is partially supported by the Science and Technology Project Foundation of Zhanjiang City of China (No. 2010C3112007), and the Natural Science Foundation of Guangdong Ocean University of China (No. 0812109).