Cryptanalysis of an image encryption algorithm using Chebyshev generator

Recently, studies of image encryption algorithms have been increasingly based on chaos, but there still exist drawbacks in chaotic cryptosystem that threat the security. In this paper, we make cryptanalysis on an image encryption based on Chebyshev chaotic map and find the following: (1) chosen-plaintext attack can break the scheme. (2) There exist equivalent keys and weak keys for the encryption scheme. (3) The scheme has low sensitivity to the changes of plain image. And we successfully carry out the chosen-plaintext attack. To overcome the drawbacks, a remedial technique is suggested.

[1]  Chuan-Kuei Huang,et al.  Multi chaotic systems based pixel shuffle for image encryption , 2009 .

[2]  G. Álvarez,et al.  Cryptanalysis of a discrete chaotic cryptosystem using external key , 2003 .

[3]  Bo Zhang,et al.  An Image Encryption Scheme Based on Cross Chaotic Map , 2008, 2008 Congress on Image and Signal Processing.

[4]  Xing-yuan Wang,et al.  A chaotic image encryption algorithm based on perceptron model , 2010 .

[5]  Guanrong Chen,et al.  On a Generalized Lorenz Canonical Form of Chaotic Systems , 2002, Int. J. Bifurc. Chaos.

[6]  Nikolaos G. Bourbakis,et al.  A general quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks , 2008, Signal Process. Image Commun..

[7]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

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

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

[10]  Wolfgang A. Halang,et al.  Cryptanalysis of an image encryption scheme based on a compound chaotic sequence , 2007, Image Vis. Comput..

[11]  S. Li,et al.  Cryptanalyzing a nonlinear chaotic algorithm (NCA) for image encryption , 2009 .

[12]  Xiaoling Huang,et al.  Image encryption algorithm using chaotic Chebyshev generator , 2011, Nonlinear Dynamics.

[13]  X. Mou,et al.  On the security of a chaotic encryption scheme: problems with computerized chaos in finite computing precision , 2003 .

[14]  A. Akhavan,et al.  A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps , 2007 .

[15]  A. Kanso,et al.  A novel image encryption algorithm based on a 3D chaotic map , 2012 .

[16]  Kwok-Wo Wong,et al.  A Fast Image Encryption Scheme based on Chaotic Standard Map , 2006, ArXiv.