A Novel Image Encryption Scheme Based on Self-Synchronous Chaotic Stream Cipher and Wavelet Transform

In this paper, a novel image encryption scheme is proposed for the secure transmission of image data. A self-synchronous chaotic stream cipher is designed with the purpose of resisting active attack and ensures the limited error propagation of image data. Two-dimensional discrete wavelet transform and Arnold mapping are used to scramble the pixel value of the original image. A four-dimensional hyperchaotic system with four positive Lyapunov exponents serve as the chaotic sequence generator of the self-synchronous stream cipher in order to enhance the security and complexity of the image encryption system. Finally, the simulation experiment results show that this image encryption scheme is both reliable and secure.

[1]  T. Aaron Gulliver,et al.  Real-time image encryption using a low-complexity discrete 3D dual chaotic cipher , 2015 .

[2]  Yitao Liang,et al.  A novel bearing fault diagnosis model integrated permutation entropy, ensemble empirical mode decomposition and optimized SVM , 2015 .

[3]  Guanrong Chen,et al.  FEEDBACK CONTROL OF LYAPUNOV EXPONENTS FOR DISCRETE-TIME DYNAMICAL SYSTEMS , 1996 .

[4]  Muhammad Khurram Khan,et al.  Chaos-based secure satellite imagery cryptosystem , 2010, Comput. Math. Appl..

[5]  Jiang Wu,et al.  A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing , 2017, Complex..

[6]  Guanrong Chen,et al.  Making a dynamical system chaotic: feedback control of Lyapunov exponents for discrete-time dynamical systems , 1997 .

[7]  Xiaoling Huang,et al.  An efficient symmetric image encryption algorithm based on an intertwining logistic map , 2017, Neurocomputing.

[8]  Dominic Bucerzan,et al.  Stream Ciphers Analysis Methods , 2010, Int. J. Comput. Commun. Control.

[9]  Qigui Yang,et al.  A Chaotic System with One saddle and Two Stable Node-Foci , 2008, Int. J. Bifurc. Chaos.

[10]  Mark R. Pickering,et al.  An Overview of Digital Video Watermarking , 2018, IEEE Transactions on Circuits and Systems for Video Technology.

[11]  Mohammad Hossein Moattar,et al.  Color image encryption based on hybrid hyper-chaotic system and cellular automata , 2017 .

[12]  Feng Xu,et al.  Designing permutation-substitution image encryption networks with Henon map , 2017, Neurocomputing.

[13]  Wei Xu,et al.  Improving the complexity of chaotic sequence based on the PCA algorithm , 2015 .

[14]  Yifeng Zheng,et al.  A novel image encryption scheme based on Hénon map and compound spatiotemporal chaos , 2014, Multimedia Tools and Applications.

[15]  Firas Hassan,et al.  Symmetric synchronous stream encryption using images , 2012, Signal, Image and Video Processing.

[16]  Yuling Luo,et al.  A perturbation method to the tent map based on Lyapunov exponent and its application , 2015 .

[17]  A Di,et al.  Application of FuzzyEn algorithm to the analysis of complexity of chaotic sequence , 2012 .

[18]  Hongjun Liu,et al.  Chaos-based fast colour image encryption scheme with true random number keys from environmental noise , 2017, IET Image Process..

[19]  Elankovan Sundararajan,et al.  A Chaotic Cryptosystem for Images Based on Henon and Arnold Cat Map , 2014, TheScientificWorldJournal.

[20]  Jacques Kengne,et al.  Coexistence of Chaos with Hyperchaos, Period-3 Doubling Bifurcation, and Transient Chaos in the Hyperchaotic Oscillator with Gyrators , 2015, Int. J. Bifurc. Chaos.

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

[22]  Elaine B. Barker,et al.  A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .

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

[24]  Chunhua Wang,et al.  A New Chaotic Image Encryption Scheme Using Breadth-First Search and Dynamic Diffusion , 2018, Int. J. Bifurc. Chaos.

[25]  Jacques M. Bahi,et al.  Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[26]  R. Povinelli,et al.  Analyzing Logistic Map Pseudorandom Number Generators for Periodicity Induced by Finite Precision Floating-Point Representation , 2012 .

[27]  Emad E. Mahmoud,et al.  A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization , 2017, Complex..

[28]  Guangchun Luo,et al.  An image encryption scheme based on chaotic tent map , 2016, Nonlinear Dynamics.

[29]  B. Pompe,et al.  Permutation entropy: a natural complexity measure for time series. , 2002, Physical review letters.

[30]  Fouad Khelifi,et al.  On the security of a stream cipher in reversible data hiding schemes operating in the encrypted domain , 2018, Signal Process..