A Novel Lossless Image Encryption Method using DNA Substitution and Chaotic Logistic Map

2020

IEEE Access

This paper proposes an image encryption algorithm based on hash table structure scrambling and DNA substitution. The algorithm uses the classical 'scrambling-diffusion' process, and the pseudo-random sequence used in each process is generated by the hyper-chaotic Chen system. Firstly, in the process of scrambling, two sequences with no repeated values are constructed by using the closed hash method in the hash table structure for chaotic sequences, and the plain image is scrambled twice according to the two sequences. Then, in the process of diffusion, DNA coding and decoding rules and DNA substitution rules are made according to the chaotic sequences. The image is dynamically encoded, substituted and decoded with DNA. In this way, while modifying the gray value of image pixels, it also destroys the strong correlation between adjacent pixels. Through a series of verifications, it is concluded that the algorithm not only has good encryption effect, high security and large key space, but also has the advantages of high key sensitivity and strong anti-attack capability. INDEX TERMS Hash table, DNA substitution, hyper-chaotic system, image encryption. XINGYUAN WANG received the Ph.D. degree in computer software and theory from Northeast University, China, in 1999. From 1999 to 2001, he was a Postdoctoral Researcher with Northeast University. He is currently a Professor of information science and technology with Dalian Maritime University, China. He has published three books and more than 400 scientific articles in refereed journals and proceedings. His research interests include nonlinear dynamics and control, image processing, chaos cryptography, systems biology, and complex networks. LIN LIU received the bachelor's degree from the School of Information and Electrical Engineering, Ludong University, China. She is currently pursuing the master's degree in computer technology with Dalian Maritime University, China. Her main research interests are in chaotic encryption and image processing.

“…(AC) (CT) (TG) (GA), we can draw this conclusion: C (A) = C, C (C) = T, C (T) = G, C (G) = A. As shown below, there are six complementary conversion methods that are allowed [24]:…”

Section: ) Dna Complementary Rulementioning

confidence: 73%

“…The substitution method used in this article is a chaotic DNA transformation method [24]. There are two rules for DNA substitution, namely binary encoding rules and complementary rules.…”

Section: Dna Substitution Methodsmentioning

confidence: 99%

Image Encryption Based on Hash Table Scrambling and DNA Substitution

2020

IEEE Access

“…We consider it may be better than other encryption methods with the result analysis of previous work, such as Belazi et al. (2016), Chakraborty et al. (2016), Guesmi et al.…”

Section: Discussionmentioning

confidence: 97%

Fractional two-dimensional discrete chaotic map and its applications to the information security with elliptic-curve public key cryptography

Xia

Journal of Vibration and Control

2017

A novel fractional two-dimensional triangle function combination discrete chaotic map is proposed by use of the discrete fractional calculus. The chaos behaviors are then discussed when the difference order is a fractional one. The bifurcation diagrams, the largest Lyapunov exponent and the phase portraits are displayed, especially, the elliptic curve public key cryptosystem is used in color image encryption algorithm.

“…It can reduce to the integer order one with the difference order ] = 1 but the integer one does not hold the discrete memory. From (3) to (5), the domain is shifted from N + −] to N + and the function ( ) is preserved to be defined on the isolated time scale N in the fractional sums.…”

Section: Preliminariesmentioning

confidence: 99%

“…Nowadays, image encryption plays a significant role with the development of security technology in the areas of network, communication, and cloud service. Multifarious chaos-based image encryption algorithms have been developed up to now, such as in [1][2][3][4][5][6]; however a few of them have referred to the image encryption algorithm based on fractional discrete chaotic map accompanied with Elliptic Curve Cryptography (ECC).…”

Section: Introductionmentioning

confidence: 99%

Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem

Xia

Discrete Dynamics in Nature and Society

2018

A new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference is proposed. We observe the bifurcation behaviors and draw the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits of the proposed map, respectively. On the application side, we apply the proposed discrete fractional map into image encryption with the secret keys ciphered by Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC). Finally, the image encryption algorithm is analysed in four main aspects that indicate the proposed algorithm is better than others.