Color Image Encryption Using LFSR, DNA, and 3D Chaotic Maps

Abstract

One of the most important challenges facing researchers is to find new methods to protect data sent over the Internet and prevent unauthorized access to it. In this paper, we present a new method for encrypting image data divided into two stages. The first stage requires redistributing the positions of the pixels by using a key of random numbers generated by linear feedback shift registers and then encrypting the data using deoxyribonucleic acid rules. The data generated in the previous stage is encrypted again using chaotic maps to increase the level of security in the second stage. Several statistical tests were implemented to verify the efficiency of the proposed method and compare the results with the work of other researchers. The results of the tests proved a reasonable safety rate compared to other techniques.

Image encryption based on combined between linear feedback shift registers and 3D chaotic maps

“…The proposed method was tested on a group of colored images: Lena, Baboon, Barbara, and Pepper of size (256×256). In the permutation stage, we used three registers of different (29,31,33) and different (13, 7, 2), (3, 2, 1), (22, 13, 11,) respectively, and each register had a unique initial value(seed). The number of sequences bits required to generate each number depended on the number of pixels in one-half of the image size.…”

“…In the begging, the inputting color image is divided into two equal parts (upper UP and lower LW) with size Sk. Second, using LFSRs that comprise three registers with different lengths (29,31,33) and different taps (2,7,13), (1,2,3), (11,13,22), respectively, key K is generated that contains non-repetitive random numbers with size Sk. The same key is used to redistribute the locations of the pixels in each part.…”