Ergodic matrix in image encryption

This paper discusses about ergodic matrices and related application about scrambling and encryption of digital images. First, we use ergodic matrices to realize the position permutation algorithms. In particular several novel methods of scrambling are proposed. Subsequently we analyze the isomorphism relationship between ergodic matrices and permutation group. By defining permutation symbol operation system of ergodic matrices, we construct a union form to express all existed permutation algorithms. Finally the images are encrypted using them. Preliminary results are satisfactory.

[1]  Klara Nahrstedt,et al.  Comparison of MPEG encryption algorithms , 1998, Comput. Graph..

[2]  Bernard P. Zajac.  Applied cryptography: Protocols, algorithms, and source code in C , 1994 .

[3]  Ding Wei,et al.  DIGITAL IMAGE TRANSFORMATION AND INFORMATION HIDING AND DISGUISING TECHNOLOGY , 1998 .

[4]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[5]  S. S. Maniccam,et al.  SCAN based lossless image compression and encryption , 1999, Proceedings 1999 International Conference on Information Intelligence and Systems (Cat. No.PR00446).

[6]  D. Kahn.  The codebreakers : the story of secret writing , 1968 .

[7]  E. Tavares,et al.  On the security of the CAST encryption algorithm , 1994, 1994 Proceedings of Canadian Conference on Electrical and Computer Engineering.