A More Secure Image Encryption Algorithm Using Dual 3-Dimensional Chaotic Maps for RGB Images
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© 2020 by IJCTT Journal
Volume-68 Issue-10
Year of Publication : 2020
Authors : H. J. Yakubu, E. G. Dada
DOI :  10.14445/22312803/IJCTT-V68I10P107

How to Cite?

H. J. Yakubu, E. G. Dada, "A More Secure Image Encryption Algorithm Using Dual 3-Dimensional Chaotic Maps for RGB Images," International Journal of Computer Trends and Technology, vol. 68, no. 10, pp. 35-43, 2020. Crossref, 10.14445/22312803/IJCTT-V68I10P107

Abstract
The need for more secure image communications over the public network cannot be overemphasized due to the high increase in cyber-attacks. Cryptography is acknowledged as the best method of information protection and image security. An encryption algorithm`s security must be entirely based on the secret key, also called the private key. The stronger the secret key, the more secured the encryption algorithm is. Studies have shown that 3-Dimensional continuous-time chaotic systems contain large chaotic structures and complex dynamical behavior that are highly useful for secure communication systems. In this paper, we proposed a more secure image encryption algorithm using two 3-Dimensional chaotic maps (Rabinovich-Fabrikant Equations and Shimizu- Morioka System) for colour images. The proposed scheme adopts the general architecture of the chaotic image encryption algorithm of cryptography, ensuring both confusion and diffusion properties for a secure cypher. The confusion stage is achieved using the rich, chaotic properties of both the Rabinovich-Fabrikant equations and the Shimizu-Morioka system. In contrast, the diffusion stage is achieved using the MOD and bitXOR operations on the pixels values of the confused image and the sequence of solutions generated from the two chaotic maps. The proposed scheme is an asymmetric key encryption scheme where both parties use the secrete key (a set of 13 different numbers, which includes the control parameters and initial conditions for the two maps). A standard test image (Mandrill_colour_256.tif) was used in testing the proposed scheme. Security analysis, such as the statistical analysis, which includes Histogram Uniformity analysis and Correlation Coefficient analysis as well as the differential analysis, which includes the Number of Pixels Change Rate (NPCR) and the Unified Averaged Changing Intensity (UACI) was carried out on the proposed scheme. Results obtained from the analysis show that the proposed scheme is highly effective and can resist any statistical, differential, or brute-force attacks.

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Keywords
Private Key, Public key, Diffusion, Chaotic map, Brute-force attack, Differential attack, Cipher, Chaos.