A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations

Li-ping CHEN; Hao YIN; Li-guo YUAN; M. LOPES António; J. A. Tenreiro MACHADO; Ran-chao WU

doi:10.1631/FITEE.1900709

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A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations

Special Feature on New Trends in Fractional Calculus for Information Science | Updated：2022-05-19

- A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations
  Enhanced Publication
- 一种基于离散分数阶混沌系统和DNA序列运算的新型彩色图像加密算法
- Frontiers of Information Technology & Electronic Engineering Vol. 21, Issue 6, Pages: 866-879(2020)
- Affiliations：
  
  School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
  College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China
  UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, Porto 4200-465, Portugal
  Department of Electrical Engineering, Polytechnic Institute of Porto, R. Dr. António Bernardino de Almeida, 431, Porto 4249-015, Portugal
  School of Mathematical Sciences, Anhui University, Hefei 230601, China
- Author bio：
  
  Li-ping CHEN, lip_chenhut@126.com
- Funds：
- DOI：10.1631/FITEE.1900709
  CLC： TP37
- Published：2020-06，
  
  Received：18 December 2019，
  
  Revised：16 April 2020，
- Accepted：
Scan QR Code
LI-PING CHEN, HAO YIN, LI-GUO YUAN, et al. A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations. [J]. Frontiers of information technology & electronic engineering, 2020, 21(6): 866-879.
DOI：

LI-PING CHEN, HAO YIN, LI-GUO YUAN, et al. A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations. [J]. Frontiers of information technology & electronic engineering, 2020, 21(6): 866-879. DOI： 10.1631/FITEE.1900709.

摘要

提出一种基于动态DNA编码和混沌的新型彩色图像加密算法。将一个三神经元分数阶离散Hopfield神经网络作为伪随机混沌序列发生器。其初值由外部输入的五位密钥以及明文图像的哈希值计算得来。外部密钥包含分数阶离散Hopfield神经网络的离散步长和阶次。哈希值由SHA-2函数计算得到。在保证较大密钥空间的同时，提高了算法对明文图像的敏感性。在此基础上，提出一种新型三维投影置乱方法，置乱图像红、绿、蓝信号通道中像素位置。DNA编码以及扩散被用于扩散图像信息。使用离散分数阶Hopfield神经网络生成的伪随机数序列确定每个像素的编码规则，用以保证编码方式的多样性。最后，运用置乱II和XOR提升算法的安全性。实验结果和安全性分析表明，该算法具有较好安全性，能够抵御多种典型攻击。

Abstract

A novel color image encryption algorithm based on dynamic deoxyribonucleic acid (DNA) encoding and chaos is presented. A three-neuron fractional-order discrete Hopfield neural network (FODHNN) is employed as a pseudo-random chaotic sequence generator. Its initial value is obtained with the secret key generated by a fiveparameter external key and a hash code of the plain image. The external key includes both the FODHNN discrete step size and order. The hash is computed with the SHA-2 function. This ensures a large secret key space and improves the algorithm sensitivity to the plain image. Furthermore

a new three-dimensional projection confusion method is proposed to scramble the pixels among red

green

and blue color components. DNA encoding and diffusion are used to diffuse the image information. Pseudo-random sequences generated by FODHNN are employed to determine the encoding rules for each pixel and to ensure the diversity of the encoding methods. Finally

confusion Ⅱ and XOR are used to ensure the security of the encryption. Experimental results and the security analysis show that the proposed algorithm has better performance than those reported in the literature and can resist typical attacks.

关键词

分数阶离散系统神经网络DNA加密彩色图像加密

Keywords

Fractional-order discrete systemsNeural networksDeoxyribonucleic acid (DNA) encryptionColor image encryption

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