An efficient image encryption algorithm based on multi chaotic system and random DAN coding

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An efficient image encryption algorithm based on multi chaotic system and random DAN coding Jiming Zheng 1,2

1

& Zheng Luo & Qingxia Zeng

1

Received: 7 December 2019 / Revised: 22 June 2020 / Accepted: 28 July 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract

This paper presents a digital image encryption scheme based on multi chaotic system and random DNA coding. Firstly, the initial values and parameter values of 2D Logistic-adjusted-Sine mapping (2D-LASM) and Logistic-Sine system (LSS) are obtained from SHA256 hash values of the original image. In the scrambling stage, the chaotic sequences generated by 2D-LASM are used to get two column scrambling matrices and row scrambling matrix, respectively. The elements of the second column scrambling matrix and row scrambling matrix are used as row and column coordinates in the scrambling process. Then apply it to scrambling the DNA encoded image, which can complete the row and column scrambling at the same time. In the diffusion stage, we proposed a new diffusion method. Through the chaotic sequence generated by the LSS, a DNA coding sequence is obtained. DNA XOR operation is carried out on the central point and horizontal line of the image, and then spread from the central line to the upper and lower directions of the matrix to achieve the purpose of multi-directional diffusion and improve the encryption efficiency. Experimental results and security analysis show that the algorithm executes fast and has strong security. It can resist many attacks, such as statistical attacks, brute attacks, plaintext / select plaintext attacks, etc. Keywords Image encryption . Multi chaotic system . Random DAN coding . Multidirectional diffusion . SHA256

* Jiming Zheng [email protected]

1

College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, People’s Republic of China

2

Key Lab of Intelligent Analysis and Decision Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Multimedia Tools and Applications

1 Introduction With the development of network technologies and the popularization of internet, the way of information interaction between people have been changed. The digital media information as the main carriers about information interaction, such as images and videos, which present the explosive growth of data volume. In the face of a huge amount of information, security and confidentiality is the most important issue. Traditional encryption methods are not suitable for image encryption because digital images have large data capacity, high redundancy and strong correlation among adjacent pixels. Based on the above problems, many image encryption methods have been proposed [8, 13, 14, 23]. Due to the unpredictability, ergodicity and highly sensitivity to initial conditions of chaotic systems, encryption system has a close relationship with chaotic dynamic system [15]. The image encryption scheme based on chaotic system was first proposed in 1