Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map

This paper presents a three-dimensional autonomous chaotic system with high fraction dimension. It is noted that the nonlinear characteristic of the improper fractional-order chaos is interesting. Based on the continuous chaos and the discrete wavelet function map, an image encryption algorithm is put forward. The key space is formed by the initial state variables, parameters, and orders of the system. Every pixel value is included in secret key, so as to improve antiattack capability of the algorithm. The obtained simulation results and extensive security analyses demonstrate the high level of security of the algorithm and show its robustness against various types of attacks.

[1]  A. Akhavan,et al.  A novel algorithm for image encryption based on mixture of chaotic maps , 2008 .

[2]  Quan Liu,et al.  A novel image encryption algorithm based on chaos maps with Markov properties , 2015, Commun. Nonlinear Sci. Numer. Simul..

[3]  Jian-Feng Zhao,et al.  A novel image encryption scheme based on an improper fractional-order chaotic system , 2015, Nonlinear Dynamics.

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

[5]  Ljupco Kocarev,et al.  From chaotic maps to encryption schemes , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[6]  Ismail Amr Ismail,et al.  A Digital Image Encryption Algorithm Based A Composition of Two Chaotic Logistic Maps , 2010, Int. J. Netw. Secur..

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

[8]  Rhouma Rhouma,et al.  Cryptanalysis of a new image encryption algorithm based on hyper-chaos , 2008 .

[9]  Xianfeng Li,et al.  Nonlinear dynamics and circuit realization of a new chaotic flow: A variant of Lorenz, Chen and Lu , 2009 .

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

[11]  Xing-yuan Wang,et al.  An image blocks encryption algorithm based on spatiotemporal chaos , 2012 .

[12]  Safya Belghith,et al.  A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity , 2015 .

[13]  Vincent Rijmen,et al.  The Design of Rijndael: AES - The Advanced Encryption Standard , 2002 .

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

[15]  Ljupco Kocarev,et al.  Analysis of some recently proposed chaos-based encryption algo-rithms , 2001 .

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

[17]  Vincent Rijmen,et al.  The Design of Rijndael , 2002, Information Security and Cryptography.

[18]  Hongtao Lu,et al.  Modified generalized projective synchronization of a new fractional-order hyperchaotic system and its application to secure communication , 2012 .

[19]  Xing-yuan Wang,et al.  A novel block cryptosystem based on the coupled chaotic map lattice , 2013 .

[20]  Vinod Patidar,et al.  Discrete chaotic cryptography using external key , 2003 .