A fast chaos-based image encryption scheme with a dynamic state variables selection mechanism

In recent years, a variety of chaos-based image cryptosystems have been investigated to meet the increasing demand for real-time secure image transmission. Most of them are based on permutation–diffusion architecture, in which permutation and diffusion are two independent procedures with fixed control parameters. This property results in two flaws. (1) At least two chaotic state variables are required for encrypting one plain pixel, in permutation and diffusion stages respectively. Chaotic state variables produced with high computation complexity are not sufficiently used. (2) The key stream solely depends on the secret key, and hence the cryptosystem is vulnerable against known/chosen-plaintext attacks. In this paper, a fast chaos-based image encryption scheme with a dynamic state variables selection mechanism is proposed to enhance the security and promote the efficiency of chaos-based image cryptosystems. Experimental simulations and extensive cryptanalysis have been carried out and the results prove the superior security and high efficiency of the scheme.

[1]  Jing Li,et al.  A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equations , 2013, Signal Process. Image Commun..

[2]  Di Xiao,et al.  An image encryption scheme based on rotation matrix bit-level permutation and block diffusion , 2014, Commun. Nonlinear Sci. Numer. Simul..

[3]  Z. Guan,et al.  Chaos-based image encryption algorithm ✩ , 2005 .

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

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

[6]  Jun-jie Chen,et al.  A chaos-based digital image encryption scheme with an improved diffusion strategy. , 2012, Optics express.

[7]  M. Yaghoobi,et al.  A new image encryption method: parallel sub-image encryption with hyper chaos , 2011, Nonlinear Dynamics.

[8]  E. Solak,et al.  Cryptanalysis of a chaos-based image encryption algorithm , 2009 .

[9]  Xiao Liu,et al.  A novel chaos-based bit-level permutation scheme for digital image encryption , 2011 .

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

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

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

[13]  Bernie Sin-Hung Kwok,et al.  An efficient diffusion approach for chaos-based image encryption , 2009 .

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

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

[16]  Kwok-Wo Wong,et al.  A symmetric color image encryption algorithm using the intrinsic features of bit distributions , 2013, Commun. Nonlinear Sci. Numer. Simul..

[17]  Congxu Zhu,et al.  A novel image encryption scheme based on improved hyperchaotic sequences , 2012 .

[18]  Olcay Taner Yildiz,et al.  Cryptanalysis of Fridrich's Chaotic Image Encryption , 2010, Int. J. Bifurc. Chaos.

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

[20]  Morteza SaberiKamarposhti,et al.  Using 3-cell chaotic map for image encryption based on biological operations , 2014 .

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

[22]  J. K. Bhattacharjee,et al.  Period adding bifurcation in a logistic map with memory , 2008 .

[23]  Guanrong Chen,et al.  A chaos-based image encryption algorithm with variable control parameters , 2009 .

[24]  Safya Belghith,et al.  Cryptanalysis of a new substitution–diffusion based image cipher , 2010 .

[25]  Yong Wang,et al.  A new chaos-based fast image encryption algorithm , 2011, Appl. Soft Comput..

[26]  S. Li,et al.  Cryptographic requirements for chaotic secure communications , 2003, nlin/0311039.

[27]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[28]  Tao Xie,et al.  Breaking a novel image encryption scheme based on improved hyperchaotic sequences , 2012, Nonlinear Dynamics.

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

[30]  Guanrong Chen,et al.  A Novel Fast Image Encryption Scheme Based on 3D Chaotic Baker Maps , 2004, Int. J. Bifurc. Chaos.

[31]  Gonzalo Alvarez,et al.  Comment on “Image encryption with chaotically coupled chaotic maps” , 2010 .

[32]  A. Pisarchik,et al.  Image encryption with chaotically coupled chaotic maps , 2008 .

[33]  Guanrong Chen,et al.  Chaos-Based Encryption for Digital Images and Videos , 2004 .

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

[35]  Hai Yu,et al.  An improved permutation-diffusion type image cipher with a chaotic orbit perturbing mechanism. , 2013, Optics express.

[36]  Kwok-Wo Wong,et al.  An image encryption scheme using reverse 2-dimensional chaotic map and dependent diffusion , 2013, Commun. Nonlinear Sci. Numer. Simul..

[37]  Shujun Li,et al.  Breaking a modified substitution-diffusion image cipher based on chaotic standard and logistic maps , 2009, ArXiv.

[38]  Xingyuan Wang,et al.  A novel image encryption algorithm using chaos and reversible cellular automata , 2013, Commun. Nonlinear Sci. Numer. Simul..

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