An Image Encryption Scheme Based on Hybrid Orbit of Hyper-chaotic Systems

This paper puts forward a novel image encryption scheme based on ordinary differential equation system. Firstly, a hyper-chaotic differential equation system is used to generate two hyper-chaotic orbit sequences. Introducing the idea of hybrid orbit, two orbits are mixed to generate a hybrid hyper-chaotic sequence which is used to be the initial chaotic key stream. Secondly, the final encryption key stream is generated through two rounds of diffusion operation which is related to the initial chaotic key stream and plain-image. Therefore, the algorithm's key stream not only depends on the cipher keys but also depends on plain-image. Last but not least, the security and performance analysis have been performed, including key space analysis, histogram analysis, correlation analysis, information entropy analysis, peak signal-to-noise ratio analysis, key sensitivity analysis, differential analysis etc. All the experimental results show that the proposed image encryption scheme is secure and suitable for practical image and video encryption.

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

[2]  Xingyuan Wang,et al.  Color image encryption using spatial bit-level permutation and high-dimension chaotic system , 2011 .

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

[4]  Xingyuan Wang,et al.  Cryptanalysis on a novel image encryption method based on total shuffling scheme , 2011 .

[5]  Ruisong Ye,et al.  Application of the Chaotic Ergodicity of Standard Map in Image Encryption and Watermarking , 2010 .

[6]  Bruce Schneier,et al.  Applied cryptography : protocols, algorithms, and source codein C , 1996 .

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

[8]  Ruisong Ye,et al.  A novel chaos-based image encryption scheme with an efficient permutation-diffusion mechanism , 2011 .

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

[10]  L. Kocarev.  Chaos-based cryptography: a brief overview , 2001 .

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

[12]  Zhi-Hong Guan,et al.  A modified method of a class of recently presented cryptosystems , 2005 .

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

[14]  Qing Liu,et al.  An Improved Image Encryption Method Based on Total Shuffling Scheme , 2011 .

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

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

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

[18]  K. Aihara,et al.  Cryptosystems with discretized chaotic maps , 2002 .

[19]  Huang Xiao,et al.  An Image Encryption Scheme Based on Chaotic Systems , 2006, 2006 International Conference on Machine Learning and Cybernetics.

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

[21]  O. Rössler.  An equation for hyperchaos , 1979 .

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

[23]  S. Li,et al.  Breaking an encryption scheme based on chaotic baker map , 2004, Physics Letters.

[24]  Ruisong Ye,et al.  An Image Encryption Scheme Based on Chaotic Systems with Changeable Parameters , 2014 .

[25]  Gang Chen,et al.  Cryptanalysis of a New Signal Security System for Multimedia Data Transmission , 2005, EURASIP J. Adv. Signal Process..

[26]  Jin-mei Liu,et al.  Cryptanalysis of a Substitution-Diffusion Based Image Cipher Using Chaotic Standard and Logistic Map , 2010, 2010 Third International Symposium on Information Processing.