A novel image encryption scheme based on Kepler’s third law and random Hadamard transform

In this paper, a novel image encryption scheme based on Kepler’s third law and random Hadamard transform is proposed to ensure the security of a digital image. First, a set of Kepler periodic sequences is generated to permutate image data, which is characteristic of the plain-image and the Kepler’s third law. Then, a random Hadamard matrix is constructed by combining the standard Hadamard matrix with the hyper-Chen chaotic system, which is used to further scramble the image coefficients when the image is transformed through random Hadamard transform. In the end, the permuted image presents interweaving diffusion based on two special matrices, which are constructed by Kepler periodic sequence and chaos system. The experimental results and performance analysis show that the proposed encrypted scheme is highly sensitive to the plain-image and external keys, and has a high security and speed, which are very suitable for secure real-time communication of image data.

[1]  Lin Teng,et al.  A novel colour image encryption algorithm based on chaos , 2012, Signal Process..

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

[3]  Guanrong Chen,et al.  From Chaos to Order - Perspectives and Methodologies in Controlling Chaotic Nonlinear Dynamical Systems , 1993 .

[4]  Xing-yuan Wang,et al.  Image encryption scheme using chaos and simulated annealing algorithm , 2016 .

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

[6]  J. Kalpana,et al.  An improved color image encryption based on multiple DNA sequence operations with DNA synthetic image and chaos , 2015 .

[7]  Hai Yu,et al.  A fast chaos-based image encryption scheme with a dynamic state variables selection mechanism , 2015, Commun. Nonlinear Sci. Numer. Simul..

[8]  Jim Harkin,et al.  Cryptanalysis and Improvement of a Chaotic Map-Control-Based and the Plain Image-Related Cryptosystem , 2019 .

[9]  Zhihua Gan,et al.  A new chaos-based image encryption algorithm with dynamic key selection mechanisms , 2016, Multimedia Tools and Applications.

[10]  Zhihong Zhou,et al.  Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing , 2016 .

[11]  Fatih Özkaynak,et al.  Analysis and improvement of a novel image fusion encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2014, Nonlinear Dynamics.

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

[13]  Guanrong Chen,et al.  A HYPERCHAOS GENERATED FROM CHEN'S SYSTEM , 2006 .

[14]  Dawei Wang,et al.  A novel lossless color image encryption scheme using 2 D DWT and 6 D hyperchaotic system , 2016 .

[15]  Xingyuan Wang,et al.  Image encryption using DNA complementary rule and chaotic maps , 2012, Appl. Soft Comput..

[16]  M. Šuvakov,et al.  Topological dependence of Kepler's third law for collisionless periodic three-body orbits with vanishing angular momentum and equal masses , 2015 .

[17]  Xing-Yuan Wang,et al.  A new image encryption algorithm based on non-adjacent coupled map lattices , 2015, Appl. Soft Comput..

[18]  Xingyuan Wang,et al.  A novel image encryption scheme using chaos and Langton’s Ant cellular automaton , 2014, Nonlinear Dynamics.

[19]  Xingyuan Wang,et al.  A novel chaotic image encryption scheme using DNA sequence operations , 2015 .

[20]  A. Pisarchik,et al.  Encryption and decryption of images with chaotic map lattices. , 2006, Chaos.

[21]  L. Gong,et al.  Quantum Color Image Encryption Algorithm Based on A Hyper-Chaotic System and Quantum Fourier Transform , 2016, International Journal of Theoretical Physics.

[22]  Minghui Du,et al.  A symmetrical image encryption scheme in wavelet and time domain , 2015, Commun. Nonlinear Sci. Numer. Simul..

[23]  Yang Lu,et al.  An image encryption scheme based on three-dimensional Brownian motion and chaotic system , 2017 .

[24]  Xingyuan Wang,et al.  A novel chaotic block image encryption algorithm based on dynamic random growth technique , 2015 .

[25]  Xing-Yuan Wang,et al.  A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice , 2014, Inf. Sci..

[26]  Safwan El Assad,et al.  A new chaos-based image encryption system , 2016, Signal Process. Image Commun..

[27]  Di Xiao,et al.  Cryptanalysis of a chaotic image cipher using Latin square-based confusion and diffusion , 2017 .

[28]  Fatih Özkaynak,et al.  Cryptanalysis of a new image encryption algorithm based on chaos , 2016 .

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

[30]  Jun Lang,et al.  Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional Fourier transform domain , 2015 .

[31]  Ye Liu,et al.  An image encryption scheme combining chaos with cycle operation for DNA sequences , 2016, Nonlinear Dynamics.

[32]  Xingyuan Wang,et al.  Novel image encryption algorithm based on cycle shift and chaotic system , 2015 .

[33]  Zhiliang Zhu,et al.  An efficient image encryption scheme using lookup table-based confusion and diffusion , 2015, Nonlinear Dynamics.

[34]  Qiang Liu,et al.  A novel image encryption algorithm based on chaos and Line map , 2015, Neurocomputing.

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

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

[37]  Xingyuan Wang,et al.  A new image encryption algorithm based on chaos , 2012 .

[38]  Xiaohong Zhao,et al.  Differential cryptanalysis of a novel image encryption algorithm based on chaos and Line map , 2016, Nonlinear Dynamics.

[39]  Chang'e Dong,et al.  Color image encryption using one-time keys and coupled chaotic systems , 2014, Signal Process. Image Commun..

[40]  Zhongmeng Zhao,et al.  A chaos-based image encryption scheme using 2D rectangular transform and dependent substitution , 2014, Multimedia Tools and Applications.

[41]  Jing Ma,et al.  Cryptanalysis and improvement of an image encryption algorithm based on hyper-chaotic system and dynamic S-box , 2016, Multimedia Tools and Applications.

[42]  Ye Zhang,et al.  A novel image compression–encryption hybrid algorithm based on the analysis sparse representation , 2017 .

[43]  Lequan Min,et al.  Chaos-based image encryption scheme combining DNA coding and entropy , 2015, Multimedia Tools and Applications.

[44]  L. Chua.  Memristor-The missing circuit element , 1971 .

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

[46]  Guanrong Chen,et al.  Complex Dynamical Behaviors of the Chaotic Chen's System , 2003, Int. J. Bifurc. Chaos.

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

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

[49]  Weihai Li,et al.  Cryptanalysis of a chaos-based image encryption scheme combining DNA coding and entropy , 2016, Multimedia Tools and Applications.

[50]  Yiran Chen,et al.  A visually secure image encryption scheme based on compressive sensing , 2017, Signal Process..

[51]  Zhu Wang,et al.  A joint color image encryption and compression scheme based on hyper-chaotic system , 2016, Nonlinear Dynamics.