Cryptography in social networks using wavelet transform, fractals and chaotic functions
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2015, Vol 9, Issue 9
Abstract
In the past two decades, with respect to development of technologies related to the data transmission and social networks, need for secure communications is strongly felt. The proposed encryption method in this paper is based on the combination of chaotic systems, wavelet transform and fractal key. In the first step of cryptography, the approximated image derived by wavelet transform is extracted. The image size will be reduced in the approximated image and consequently the amount of calculation in proposed method will be reduced as well. In the second step of cryptography, the pattern derived by fractals has been used as encryption key. The advantage of this step is separate encryption on each three layers of image, R, G, and B. In the third step of cryptography, the pixels of image which is obtained in second step will be permuted through appropriate scheme based on logistic sequence. Finally in the last step, the pixels of image which is obtained in previous step will be substituted through chaos functions. Results related to the correlation between pixels in encrypted and decrypted images indicate that the correlation between pixels of encrypted image will tend to zero when the chaos function and fractal key are used in cryptography. In the encrypted image, the correlation coefficient between adjacent pixels is close to zero and in the decrypted image, this coefficient is close to one. Using PSNR test, encryption strength can be realized. As the fractals is used for encryption, we can create the encryption key using adjacent pixels. The more pixels used in encryption get the lower PSNR rate.
Authors and Affiliations
Siavash Sattari| Computer Engineering Department of Islamic Azad University Science and Research Branch, Larestan, Iran. email: Siavash.Sattari1@gmail.com, Abbas Akkasi| Computer Engineering Department of Islamic Azad University Science and Research Branch, Tehran, Iran., Ramin Ahmadi Lari| Computer Engineering Department of Islamic Azad University Science and Research Branch, Larestan, Iran., Mohammad Khodaparasti| Computer Engineering Department of Islamic Azad University Science and Research Branch, Larestan, Iran.
Keywords
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