A Secure Chaos-based Image Encryption and Decryption Using Crossover and Mutation Operator

In this world of digital media, security concerns are one of the most pondered tasks upon the dimension of communication. Now the researchers focus is on developing secure schemes which will enhance the security in the way of communication. In this paper, a secure chaos-based image encryption and decryption using crossover and mutation operator is proposed. The implementation is based on the chaotic logistic map is in combined with the crossover & mutation operator. The proposed methodology works in three steps. In the first step, initial population is formed by using the chaotic logistic map function. In the second step, 4-point crossover operation is performed between the two adjacent bytes. Finally, in the last step, Mutation (2-point crossover) is performed within a single byte. In the similar way, the decryption operation is performed. The proposed image encryption scheme is simple and easy to implement. The experimental results and security analysis show that the proposed image encryption and decryption scheme not only achieve good encryption effect but also obtain best entropy (7.9953 for ‘Lena’ Image, 7.9933 for ‘Cameraman’ image and 7.9934 for ‘Peppers’ image) and correlation coefficient (– 0.0125 for ‘Lena’ image and – 0.0074 for ‘Cameraman’ image) through only one round encryption process. The major advantage of proposed method is that even in the first iteration, the use of crossover and mutation operation gives better results. The correlation coefficient and entropy results show that the proposed method is highly efficient as compared with the other methods.

[1]  Qiang Zhang,et al.  Image encryption using DNA addition combining with chaotic maps , 2010, Math. Comput. Model..

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

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

[4]  Abdennaceur Kachouri,et al.  A novel chaos-based image encryption using DNA sequence operation and Secure Hash Algorithm SHA-2 , 2015, Nonlinear Dynamics.

[5]  Di Xiao,et al.  An efficient and noise resistive selective image encryption scheme for gray images based on chaotic maps and DNA complementary rules , 2014, Multimedia Tools and Applications.

[6]  Xin Zhang,et al.  A new chaotic algorithm for image encryption , 2006 .

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

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

[9]  Zhengjun Liu,et al.  Double image encryption by using iterative random binary encoding in gyrator domains. , 2010, Optics express.

[10]  Ioannis Pitas,et al.  Asymptotically optimal detection for additive watermarking in the DCT and DWT domains , 2003, IEEE Trans. Image Process..

[11]  Jian Zhang,et al.  Image Encryption Algorithm Based on DNA Encoding and Chaotic Maps , 2014 .

[12]  Shahram Etemadi Borujeni,et al.  Chaotic Image Encryption Design Using Tompkins-Paige Algorithm , 2009 .

[13]  Qiang Zhang,et al.  RGB Color Image Encryption Method Based on Lorenz Chaotic System and DNA Computation , 2013 .

[14]  Xiaojun Tong,et al.  Image encryption with compound chaotic sequence cipher shifting dynamically , 2008, Image Vis. Comput..

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

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

[17]  M. Prasad,et al.  Chaos Image Encryption using Pixel shuffling , 2011 .

[18]  A. Kanso,et al.  A novel image encryption algorithm based on a 3D chaotic map , 2012 .

[19]  Xing-yuan Wang,et al.  A novel image encryption algorithm based on genetic recombination and hyper-chaotic systems , 2015, Nonlinear Dynamics.

[20]  Chiranjoy Chattopadhyay,et al.  Encoding by DNA Relations and Randomization Through Chaotic Sequences for Image Encryption , 2015, ArXiv.

[21]  Malrey Lee,et al.  A hybrid genetic algorithm and chaotic function model for image encryption , 2012 .

[22]  Vinod Patidar,et al.  A robust and secure chaotic standard map based pseudorandom permutation-substitution scheme for image encryption , 2011 .

[23]  Vinod Patidar,et al.  Medical image protection using genetic algorithm operations , 2014, Soft Computing.

[24]  Abdennaceur Kachouri,et al.  Hash key-based image encryption using crossover operator and chaos , 2015, Multimedia Tools and Applications.