Chaotic Image Encryption Algorithm Based on Bit Permutation and Dynamic DNA Encoding

Abstract

With the help of the fact that chaos is sensitive to initial conditions and pseudorandomness, combined with the spatial configurations in the DNA molecule's inherent and unique information processing ability, a novel image encryption algorithm based on bit permutation and dynamic DNA encoding is proposed here. The algorithm first uses Keccak to calculate the hash value for a given DNA sequence as the initial value of a chaotic map; second, it uses a chaotic sequence to scramble the image pixel locations, and the butterfly network is used to implement the bit permutation. Then, the image is coded into a DNA matrix dynamic, and an algebraic operation is performed with the DNA sequence to realize the substitution of the pixels, which further improves the security of the encryption. Finally, the confusion and diffusion properties of the algorithm are further enhanced by the operation of the DNA sequence and the ciphertext feedback. The results of the experiment and security analysis show that the algorithm not only has a large key space and strong sensitivity to the key but can also effectively resist attack operations such as statistical analysis and exhaustive analysis.

A Novel Five-Dimensional Three-Leaf Chaotic Attractor and Its Application in Image Encryption

“…The simulation results show that the pixel value distribution of the encrypted image was very uniform, and the algorithm had a good encryption effect. Considering the Lena image as an example, the information entropy after encrypting the image was compared with the information entropy in the literature [4,[11][12][13]17]. The experimental results are shown in Table 5.…”

“…An image encryption algorithm based on five-dimensional hyper-chaos and bit-level disturbance was proposed in Reference [11]. Chaotic image encryption algorithms based on bit-level scrambling and dynamic DNA coding were proposed in Reference [12]. Liu et al [13] proposed an image encryption algorithm for bit position chaos on the upper four bits.…”

An enhanced hybrid image encryption algorithm using Rubik’s cube and dynamic DNA encoding techniques

“…The order that they appear is called the DNA sequence. Because biological operations act on all of them in parallel, many studies showed that DNA encoding provides a promising direction for developing fast encryption schemes using basic operations such as the ADD, SUB, and XOR [22,23,32,33]. Therefore, we can define DNA cryptography as: "the field of studying how to apply DNA principles as an encoder and information carrier".…”

“…[22,23,32,33]. With DNA computing developments, the algebraic operations based on DNA sequence can be applied directly in binary.…”

A Color-Image Encryption Scheme Using a 2D Chaotic System and DNA Coding

“…Given the significant potential of this area, researchers have studied a range of cryptosystem that combine chaos theory with DNA encoding [26][27][28][29][30][31][32][33][34][35][36][37]. In [27,30,31,33], a logistic map and its variants were employed as key stream generators, whereas hyperchaotic systems within a DNA coding collaboration are introduced in [26,28,29,32,35,37]. e logistic map has some drawbacks for information encryptions, such as small key space, insufficient complexity, and low security, which allow easy decryption of the encryption schemes [38].…”