Image encryption algorithm based on LDCML and DNA coding sequence

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Image encryption algorithm based on LDCML and DNA coding sequence Xingyuan Wang 1 & Wenhua Xue 1 & Jubai An 1 Received: 2 May 2020 / Revised: 14 August 2020 / Accepted: 20 August 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract

This paper proposes a new C-shaped scrambling method and combines it with the Logistic-Dynamics Coupled Map Lattices (LDCML) and DNA coding, thus designing a new image encryption scheme. First, we use the chaotic sequence generated by the LDCML system to perform preliminary scrambling on the original image. Then convert it into a DNA matrix according to a coding rule. After that perform the second scrambling according to the “C” shape. Next, the scrambled DNA matrix is subjected to a diffusion operation using the corresponding DNA sequence of the chaotic sequence generated by the LDCML system and the addition, subtraction and XOR rules of the DNA. At last, the final encrypted image is obtained by performing a DNA decoding operation on the diffused DNA matrix. Simulation experiments and security analysis show that the algorithm is safe and can resist common attack methods. Keywords Image encryption . C-shaped transformation . LDCML system . DNA sequence

1 Introduction With the rapid growth of computer technology, the security of information during network transmission is increasingly threatened. Therefore, people’s guarantee for the security of information transmission continues to improve. For instance, different types of pictures can be seen everywhere on the web. How to guarantee the security of the images in the process of dissemination has attracted more and more people’s attention. In order to make sure that the image cannot be easily stolen or destroyed by others during the transmission, the image is usually encrypted to ensure that the information contained in the image will not be leaked to * Xingyuan Wang [email protected] Wenhua Xue [email protected]

1

School of Information Science & Technology, Dalian Maritime University, Dalian 116026, China

Multimedia Tools and Applications

others. However, unlike text encryption, as the amount of data contained in an image increases, the redundancy becomes higher, and the correlation between pixels becomes stronger and more. Due to the high sensitivity of the chaotic system to initial values and control parameters, good pseudo-randomness and traversal, and unpredictability of the orbit, it is very suitable for image encryption. In recent years, more and more scholars have proposed image encryption algorithms based on chaotic systems [3, 7, 11, 14, 22, 25, 35]. The commonly used chaotic system is Coupled Map Lattice (CML). After that, different types of chaotic systems were proposed, such as Globally Nonlocal Coupled Map Lattice (GNCML), One-Way Coupled Map Lattice (OCML), Two-Way Coupled Map Lattice (TCML) [12, 13]. The above are all static coupled mapping lattice models, but there is relatively little research on dynamic coupling mapping lattice models. Therefore, this paper uses a logistic model of a