信息网络安全

信息网络安全 ›› 2022, Vol. 22 ›› Issue (12): 76-86.doi: 10.3969/j.issn.1671-1122.2022.12.009

• 技术研究 • 上一篇    下一篇

基于改进Logistic映射和双图混合的加密算法

汪勍, 徐国天()   

  1. 中国刑事警察学院公安信息技术与情报学院，沈阳 110854
  • 收稿日期:2022-08-31 出版日期:2022-12-10 发布日期:2022-12-30
  • 通讯作者: 徐国天 E-mail:1015971032@qq.com
  • 作者简介:汪勍（1997—），男，辽宁，硕士研究生，主要研究方向为网络安全|徐国天（1978—），男，辽宁，教授，硕士，主要研究方向为网络空间安全、电子数据取证
  • 基金资助:
    公安部公安理论及软科学计划项目(2020LLYJXJXY031);辽宁省自然科学基金(2022-MS-168);辽宁省自然科学基金(2019-ZD-0167);辽宁省自然科学基金(20180550841);中央高校基本科研业务费项目(D2021006);中央高校基本科研业务费项目(3242017013);辽宁省网络安全执法协同创新中心项目(WXZX-201807010);辽宁省教育厅科学研究项目(LJKZ0072)

An Encryption Algorithm Based on Improved Logistic Mapping and Dual-Image Blending

WANG Qing, XU Guotian()   

  1. School of Public Security Information Technology and Information, Criminal Investigation Police University of China, Shenyang 110854, China
  • Received:2022-08-31 Online:2022-12-10 Published:2022-12-30
  • Contact: XU Guotian E-mail:1015971032@qq.com

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摘要：

针对图像加密系统中Logistic映射满射时，控制参数取值范围过小、加密系统抗差分攻击能力不足等问题，文章提出一种基于改进Logistic映射和双图混合的图像加密系统。该系统以明文关联置乱算法为基础，采用双图像混合算法进行图像加密的预处理操作，同时利用改进的Logistic映射生成随机矩阵，用于图像的扩散。改进的Logistic映射有效提升了满射时对应控制参数的取值范围，双图像混合预处理提升了加密系统抵抗差分攻击能力。实验结果表明，文章提出的加密系统在直方图分析、相关性分析和敏感性分析上均具有良好的表现，能有效抵抗穷举攻击、差分攻击、信息熵攻击等多种攻击。

关键词: 图像加密, Logistic映射, 双图像混合, 预处理, 明文关联置乱算法

Abstract:

To address the problem that the range of control parameters corresponding to the logistic mapping full shot in the image encryption system is too small, and the resisting ability of the encryption system to differential cryptanalysis needs to be improved, this paper designed an encryption algorithm based on the improved logistic mapping and dual-image blending. This system was based on the plaintext associative dislocation algorithm and used the dual-image blending as the pre-processing operation of image encryption, while the improved logistic mapping was applied to generate a random matrix for image diffusion. The improved logistic mapping effectively improved the range of values of the corresponding control parameters at full shot, and the dual-image blending pre-processing improved the ability of the encryption system to resist differential cryptanalysis. The experimental results show that the proposed encryption system has good performance in histogram analysis, correlation analysis, and sensitivity analysis, and can effectively resist various attacks such as exhaustive attack, differential cryptanalysis, and information entropy attack.

Key words: image encryption, logistic mapping, dual-image blending, pre-processing, plaintext associative dislocation algorithm

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