基于混沌理论与DNA动态编码的卫星图像加密算法

肖嵩; 陈哲; 杨亚涛; 马英杰; 杨腾

doi:10.11999/JEIT230203

基于混沌理论与DNA动态编码的卫星图像加密算法

doi: 10.11999/JEIT230203

肖嵩^{1, 2, ,},
陈哲¹,
杨亚涛²,
马英杰²,
杨腾¹

1.
西安电子科技大学通信工程学院西安 710071
2.
北京电子科技学院电子与通信工程系北京 100070

基金项目: 国家自然科学基金(62101414, 62201423)，北京市自然科学基金(4232034)，中国博士后科学基金(2021M702546, 2021M702548)，中国博士后科学基金(2022T150508)，西安市科协青年人才基金(095920221320)，广东省基础与应用基础研究基金(2020A1515110856)

详细信息

作者简介:
肖嵩：女，教授，研究方向为多媒体网络通信、人工智能安全

陈哲：男，硕士生，研究方向为遥感信息安全

杨亚涛：男，教授，研究方向为信息安全、密码系统与应用、密码协议和算法设计

马英杰：女，副教授，研究方向为混沌保密通信

杨腾：男，博士生，研究方向为遥感图像处理

通讯作者:
肖嵩　xiaosong@mail.xidian.edu.cn

中图分类号: TN918.4; TP751.1
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- 被引次数: 0
出版历程
- 收稿日期: 2023-03-29
- 修回日期: 2023-09-12
- 网络出版日期: 2023-09-18
- 刊出日期: 2024-03-27

Satellite Image Encryption Algorithm Based on Chaos Theory and DNA Dynamic Coding

XIAO Song^{1, 2
, ,},
CHEN Zhe¹,
YANG Yatao²,
MA Yingjie²,
YANG Teng¹

1.
School of Telecommunication Engineering, Xidian University, Xi’an 710071, China
2.
Department of Electronic and Communication Engineering, Beijing Electronics Science and Technology Institute, Beijing 100070, China

Funds: The National Natural Science Foundation of China(62101414, 62201423), Beijing Municipal Natural Science Foundation (4232034), The China Postdoctoral Science Foundation (2021M702546, 2021M702548), The China Postdoctoral Science Special Foundation (2022T150508), The Young Talent Fund of Xi'an Association for Science and Technology (095920221320), The Guangdong Basic and Applied Basic Research Foundation (2020A1515110856)

摘要

摘要: 针对卫星图像在传输、存储过程中涉及的信息安全问题，该文提出一种新型的基于混沌理论与DNA动态编码的卫星图像加密算法。首先，提出一种改进型无限折叠混沌映射，拓宽了原有无限折叠混沌映射的混沌区间。之后，结合改进型Chebyshev混沌映射与SHA-256哈希算法，生成加密算法的密钥流，提升算法的明文敏感性。然后，利用混沌系统的状态值对Hilbert局部置乱后的像素进行DNA编码，实现DNA动态编码，解决了DNA编码规则较少所带来的容易受到暴力攻击的弱点。最后，使用混沌序列完成进一步混沌加密，从而彻底混淆原始像素信息，增加加密算法的随机性与复杂性，得到密文图像。实验结果表明，该算法具有较好的加密效果和应对各种攻击的能力。
- 卫星图像加密 /
- 混沌理论 /
- DNA动态编码 /
- 哈希算法
Abstract: Considering the information security problems involved in the transmission and storage of satellite images, a new satellite image encryption algorithm based on chaos theory and DNA dynamic coding is proposed. Firstly, an improved infinite folding chaotic map is proposed, which broadens the chaotic interval of the original infinite folding chaotic map. Then, combined with the improved Chebyshev chaotic map and SHA-256 hash algorithm, the key stream of the encryption algorithm is generated to improve the plaintext sensitivity of the algorithm. Then, the state value of the chaotic system is used to encode the pixels after Hilbert local scrambling to realize DNA dynamic coding, which solves the weakness of being vulnerable to violent attacks caused by fewer DNA coding rules. Finally, the chaotic sequence is used to complete further chaotic encryption, to completely confuse the original pixel information, increase the randomness and complexity of the encryption algorithm, and obtain the ciphertext image. The experimental results show that the algorithm has a better encryption effect and the ability to deal with various attacks.
- Satellite image encryption /
- Chaos theory /
- DNA dynamic coding /
- Hash algorithm

HTML全文

图 1 分岔图与功率谱

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图 2 李雅普诺夫指数比较与谱熵复杂度比较

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图 3 加密算法过程图

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图 4 部分卫星图像加密结果与直方图信息

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图 5 明文图像与密文图像在水平、垂直、对角线方向上的相邻像素分布

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图 6 受到不同程度裁剪攻击的密文图像的解密效果

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图 7 密钥敏感性分析

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表 1 本文算法与部分数字图像加密算法分析对比

算法	NPCR(%)	UACI(%)	信息熵	密钥空间	水平方向	垂直方向	对角线方向
本文算法	99.610 9	33.468 1	7.997 6	2⁵⁶²	–0.016 8	0.008 1	0.000 2
文献[27]	99.611 9	33.487 4	7.997 9	2²⁵⁶	0.007 4	0.006 7	0.001 2
文献[28]	99.582 7	33.479 1	7.996 7	2²⁵⁶	0.004 9	0.003 7	0.008 9
文献[29]	99.609 6	33.457 4	7.997 3	2²²²	0.001 9	0.001 2	0.000 9

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表 2 本文算法与部分卫星图像加密算法分析对比

算法	NPCR(%)	UACI(%)	信息熵	密钥空间	水平方向	垂直方向	对角线方向
本文算法	99.608 7	33.462 3	7.997 7	2⁵⁶²	0.002 7	–0.001 6	–0.004 0
文献[2]	99.608 4	33.457 3	7.997 5	2³⁵⁸	0.005 2	0.006 5	0.004 6
文献[3]	99.620 1	33.486 3	7.997 1	2²⁸⁴	0.006 1	–0.007 1	0.001 4

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表 3 相关系数分析

卫星图像	明文图像			密文图像
卫星图像	水平方向	垂直方向	对角线方向	水平方向	垂直方向	对角线方向
Shidao	0.990 2	0.987 6	0.977 1	0.019 7	–0.004 8	–0.003 5
Qingdao	0.986 1	0.989 9	0.974 1	0.010 4	–0.010 8	–0.016 5

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表 4 信息熵分析

卫星图像	明文图像信息熵	密文图像信息熵
Qingdao	7.106 4	7.999 3
Xi'an近红外波段	6.447 7	7.996 9

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表 5 视觉与无损分析

测试图像	PSNR	SSIM	PSNR	SSIM
Lena	8.561 1	0.008 9	∞	1
Shidao	7.471 4	0.007 4	∞	1
Qingdao	8.517 9	0.009 4	∞	1

下载: 导出CSV

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