A Color Image Encryption Scheme Based on Arnold Scrambling and Quantum Chaotic

In recent years, several algorithms of image encryption have been proposed independently. In this paper, an algorithm of image encryption based on general twodimensional Arnold transform with keys and quantum chaotic map is proposed. First, the key streams are generated by the two-dimensional logistic map as initial conditions and parameters. Second, general Arnold scrambling algorithm with keys is exploited to permute the pixels of color components, R, G and B . Finally a serial of pseudorandom numbers generated by the quantum chaotic map is applied to modify the value of diffused pixels. In order to get the high randomness and the high complexity, the two-dimensional logistic map and quantum chaotic map are coupled with nearest-neighboring coupled-map lattices. Theoretical analyses and computer simulations confirm that the new algorithm has high level of security.

[1]  Amir Akhavan,et al.  Pseudo random number generator based on quantum chaotic map , 2014, Commun. Nonlinear Sci. Numer. Simul..

[2]  S. Mazloom,et al.  Color image encryption based on Coupled Nonlinear Chaotic Map , 2009 .

[3]  Zengqiang Chen,et al.  A new image encryption algorithm based on hyper-chaos , 2008 .

[4]  A. Akhavan,et al.  An image encryption scheme based on quantum logistic map , 2012 .

[5]  Seyed Mohammad Seyedzadeh,et al.  A novel color image encryption algorithm based on spatial permutation and quantum chaotic map , 2015, Nonlinear Dynamics.

[6]  Lin Teng,et al.  A novel colour image encryption algorithm based on chaos , 2012, Signal Process..

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

[8]  N. K. Pareek,et al.  Modified substitution-diffusion image cipher using chaotic standard and logistic maps , 2010 .

[9]  Li Li,et al.  A new approach to chaotic image encryption based on quantum chaotic system, exploiting color spaces , 2013, Signal Process..

[10]  Kwok-Wo Wong,et al.  Period Distribution of Generalized Discrete Arnold Cat Map for $N=p^{e}$ , 2014, IEEE Transactions on Information Theory.

[11]  Xing-yuan Wang,et al.  A new image alternate encryption algorithm based on chaotic map , 2014, Nonlinear Dynamics.

[12]  Vinod Patidar,et al.  A new substitution–diffusion based image cipher using chaotic standard and logistic maps , 2009 .

[13]  Mingzhou Ding,et al.  STABILITY OF SYNCHRONOUS CHAOS AND ON-OFF INTERMITTENCY IN COUPLED MAP LATTICES , 1997 .

[14]  Syeda Iram Batool,et al.  Texture Analysis of Chaotic Coupled Map Lattices Based Image Encryption Algorithm , 2014 .

[15]  Seong Oun Hwang,et al.  An efficient image encryption scheme based on: Henon map, skew tent map and S-Box , 2015, 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO).

[16]  Abderrahim Saaidi,et al.  A Novel Image Encryption Algorithm Based on the Two-Dimensional Logistic Map and the Latin Square Image Cipher , 2015 .

[17]  Sattar Mirzakuchaki,et al.  A fast color image encryption algorithm based on coupled two-dimensional piecewise chaotic map , 2012, Signal Process..

[18]  Ghazali Sulong,et al.  Chaotic map-embedded Blowfish algorithm for security enhancement of colour image encryption , 2015, Nonlinear Dynamics.

[19]  Zhengquan Xu,et al.  An Improved Image Encryption Algorithm based on Chaotic System , 2009, J. Comput..

[20]  J. Fridrich.  Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[21]  N. S. Raghava,et al.  Improved LSB method for Image Steganography using H´enon Chaotic Map , 2014, WISA 2014.

[22]  Xingyuan Wang,et al.  A novel image encryption scheme based on 2-D logistic map and DNA sequence operations , 2015, Nonlinear Dynamics.

[23]  Xu Feng,et al.  A Two-Dimensional Cellular Automata Based Method for Multiple Image , 2014 .

[24]  Ye Liu,et al.  Color Image Encryption Algorithm Based on Chua's Circuit and Chen's Hyper-chaotic System ? , 2015 .

[25]  Zhenjun Tang,et al.  Efficient image encryption with block shuffling and chaotic map , 2014, Multimedia Tools and Applications.

[26]  Robert A. J. Matthews,et al.  On the Derivation of a "Chaotic" Encryption Algorithm , 1989, Cryptologia.

[27]  Linfei Chen,et al.  Image encryption based on singular value decomposition and Arnold transform in fractional domain , 2013 .

[28]  Mohammad Reza Mosavi,et al.  A novel image encryption based on row-column, masking and main diffusion processes with hyper chaos , 2013, Multimedia Tools and Applications.