Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

Mona F. M. Mursi, Hossam Eldin H. Ahmed, Fathi E. Abd El-Samie and Ayman H. Abd El-Aziem
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Mona F. M. Mursi: Department of Electrical Engineering, Benha University, Qalyubia, Egypt
Hossam Eldin H. Ahmed: Department of Electronics and Communication, Menufiya University, Menufiya, Egypt
Fathi E. Abd El-Samie: Department of Electronics and Communication Engineering, Menufiya University, Menufia, Egypt
Ayman H. Abd El-Aziem: Department of Electrical Engineering, Shubra Faculty of Engineering, Benha University, Qalyubia, Egypt

International Journal of Strategic Information Technology and Applications (IJSITA), 2014, vol. 5, issue 3, 62-77

Abstract: In this paper, the authors propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced to satisfy the necessity of high secure image. This proposed algorithm combines the main advantages of confusion and diffusion with (FRFT), it use Arnold Cat map for confusion and Hénon chaotic map or one of the proposed Hénon chaotic maps for diffusion. The proposed algorithm is compared with some image encryption algorithms based on Arnold Cat map, Baker chaotic map, Hénon chaotic map and RC6. The authors perform a comparison between them in several experimental tests as statistical analyses, processing time and security analysis. The authors find from these comparison tests that the proposed algorithm demonstrates good result even better than RC6 and other chaotic maps in some cases.

Date: 2014
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