一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案

李媛媛; 游晓庆; 卢剑权; 楼俊钢

doi:10.1631/FITEE.2200645

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一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案

常规文章 | Updated：2023-07-03

- 一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案
- A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations
- 信息与电子工程前沿（英文） 2023年24卷第6期页码：813-827
- Affiliations：
  
  1.Department of Applied Mathematics, College of Science, Nanjing Forestry University, Nanjing 210037, China
  2.School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China
  3.Department of Systems Science, School of Mathematics, Southeast University, Nanjing 210096, China
  4.Yangtze Delta Region (Huzhou) Institute of Intelligent Transportation, Huzhou University, Huzhou 313000, China
  5.School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, China
- Author bio：
  
  ‡Corresponding author
- Funds：
  
  National Natural Science Foundation of China(11901297;61973078)
- DOI：10.1631/FITEE.2200645
  中图分类号： TN919.81
- 收稿：2022-12-16，
  
  录用：2023-03-02，
  
  纸质出版：2023-06-0
- Accepted：
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李媛媛, 游晓庆, 卢剑权, 等. 一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案[J]. 信息与电子工程前沿（英文）, 2023,24(6):813-827.

Yuanyuan LI, Xiaoqing YOU, Jianquan LU, et al. A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(6): 813-827.
李媛媛, 游晓庆, 卢剑权, 等. 一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案[J]. 信息与电子工程前沿（英文）, 2023,24(6):813-827. DOI： 10.1631/FITEE.2200645.

Yuanyuan LI, Xiaoqing YOU, Jianquan LU, et al. A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(6): 813-827. DOI： 10.1631/FITEE.2200645.

摘要

本文提出一种基于混合线性-非线性耦合逻辑映像格子（NMLNCML）系统和DNA运算的有效图像加密方案。所提出的NMLNCML系统增强了系统的混沌特性，适用于图像加密。该加密系统具有大量的密钥空间；对密钥的敏感性高；对选择明文攻击、统计学攻击和差分攻击具有很强的抵抗能力；并且对一定程度的噪声和数据丢失有很好的鲁棒性。提出的图像密码系统采用置乱—压缩—扩散的架构。首先，通过离散小波变换将普通图像变换为稀疏系数矩阵，并对系数矩阵执行与明文相关的Arnold置乱。然后，采用半张量积（STP）压缩感知对系数矩阵进行压缩和加密。最后，通过DNA随机编码、DNA加法，和位XOR运算来扩散压缩系数矩阵。NMLNCML系统用于在压缩传感的STP测量矩阵和DNA操作中的伪随机序列中生成混沌元素。SHA-384函数用于产生明文密钥，从而使所提出的加密算法对原始图像高度敏感。仿真结果和性能分析验证了该方案的安全性和有效性。

Abstract

In this paper

an efficient image encryption scheme based on a novel mixed linear–nonlinear coupled map lattice (NMLNCML) system and DNA operations is presented. The proposed NMLNCML system strengthens the chaotic characteristics of the system

and is applicable for image encryption. The main advantages of the proposed method are embodied in its extensive key space; high sensitivity to secret keys; great resistance to chosen-plaintext attack

statistical attack

and differential attack; and good robustness to noise and data loss. Our image cryptosystem adopts the architecture of scrambling

compression

and diffusion. First

a plain image is transformed to a sparsity coefficient matrix by discrete wavelet transform

and plaintext-related Arnold scrambling is performed on the coefficient matrix. Then

semi-tensor product (STP) compressive sensing is employed to compress and encrypt the coefficient matrix. Finally

the compressed coefficient matrix is diffused by DNA random encoding

DNA addition

and bit XOR operation. The NMLNCML system is applied to generate chaotic elements in the STP measurement matrix of compressive sensing and the pseudo-random sequence in DNA operations. An SHA-384 function is used to produce plaintext secret keys and thus makes the proposed encryption algorithm highly sensitive to the original image. Simulation results and performance analyses verify the security and effectiveness of our scheme.

关键词

Keywords

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