A robust hybrid method for image encryption based on Hopfield neural network

In this paper, a robust hybrid image encryption algorithm with permutation-diffusion structure is proposed, based on chaotic control parameters and hyper-chaotic system. In the proposed method, a chaotic logistic map is employed to generate the control parameters for the permutation stage which results in shuffling the image rows and columns to disturb the high correlation among pixels. Next, in the diffusion stage, another chaotic logistic map with different initial conditions and parameters is employed to generate the initial conditions for a hyper-chaotic Hopfield neural network to generate a keystream for image homogenization of the shuffled image. The new hybrid method has been compared with several existing methods and shows comparable or superior robustness to blind decryption.

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

[2]  Kai Wang,et al.  On the security of 3D Cat map based symmetric image encryption scheme , 2005 .

[3]  Ali A. Kanso,et al.  Encryption System with Variable Number of Registers , 2010, Comput. Electr. Eng..

[4]  Tzungher Chen,et al.  Compression-unimpaired batch-image encryption combining vector quantization and index compression , 2010, Inf. Sci..

[5]  Zengqiang Chen,et al.  Image encryption based on a new total shuffling algorithm , 2008 .

[6]  Qing Zhou,et al.  A novel image encryption algorithm based on self-adaptive wave transmission , 2010, Signal Process..

[7]  Li Fan,et al.  An extended matrix encoding algorithm for steganography of high embedding efficiency , 2011, Comput. Electr. Eng..

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

[9]  Xiao-Song Yang,et al.  Hyperchaos and bifurcation in a new class of four-dimensional Hopfield neural networks , 2006, Neurocomputing.

[10]  Bahram Javidi,et al.  Optical and Digital Techniques for Information Security , 2004 .

[11]  Wei Zhang,et al.  A chaos-based symmetric image encryption scheme using a bit-level permutation , 2011, Inf. Sci..

[12]  Jinsheng Sun,et al.  A block cipher based on a suitable use of the chaotic standard map , 2005 .

[13]  Xiaojun Tong,et al.  Image encryption with compound chaotic sequence cipher shifting dynamically , 2008, Image Vis. Comput..

[14]  Rached Tourki,et al.  A Modified AES Based Algorithm for Image Encryption , 2007 .

[15]  Hualou Liang,et al.  A blind source separation-based method for multiple images encryption , 2008, Image Vis. Comput..

[16]  Amir Akhavan,et al.  Applications of tripled chaotic maps in cryptography , 2007, 0705.2633.

[17]  X. Liao,et al.  Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic map , 2007 .

[18]  Di Xiao,et al.  Analysis and improvement of a chaos-based image encryption algorithm , 2009 .

[19]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[20]  Hongjun Liu,et al.  Color image encryption based on one-time keys and robust chaotic maps , 2010, Comput. Math. Appl..

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

[22]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[23]  Xianwei Wu,et al.  A fast fractal image encoding method based on intelligent search of standard deviation , 2005, Comput. Electr. Eng..

[24]  Aloka Sinha,et al.  Chaos based multiple image encryption using multiple canonical transforms , 2010 .

[25]  Guanrong Chen,et al.  On the security defects of an image encryption scheme , 2009, Image Vis. Comput..

[26]  Shiguo Lian,et al.  A block cipher based on chaotic neural networks , 2009, Neurocomputing.