基于混沌理論與DNA動(dòng)態(tài)編碼的衛(wèi)星圖像加密算法

肖嵩; 陳哲; 楊亞濤; 馬英杰; 楊騰

doi:10.11999/JEIT230203

基于混沌理論與DNA動(dòng)態(tài)編碼的衛(wèi)星圖像加密算法

doi: 10.11999/JEIT230203

肖嵩^{1, 2, ,},
陳哲¹,
楊亞濤²,
馬英杰²,
楊騰¹

1.
西安電子科技大學(xué)通信工程學(xué)院西安 710071
2.
北京電子科技學(xué)院電子與通信工程系北京 100070

基金項(xiàng)目: 國(guó)家自然科學(xué)基金(62101414, 62201423)，北京市自然科學(xué)基金(4232034)，中國(guó)博士后科學(xué)基金(2021M702546, 2021M702548)，中國(guó)博士后科學(xué)基金(2022T150508)，西安市科協(xié)青年人才基金(095920221320)，廣東省基礎(chǔ)與應(yīng)用基礎(chǔ)研究基金(2020A1515110856)

詳細(xì)信息

作者簡(jiǎn)介:
肖嵩：女，教授，研究方向?yàn)槎嗝襟w網(wǎng)絡(luò)通信、人工智能安全

陳哲：男，碩士生，研究方向?yàn)檫b感信息安全

楊亞濤：男，教授，研究方向?yàn)樾畔踩?、密碼系統(tǒng)與應(yīng)用、密碼協(xié)議和算法設(shè)計(jì)

馬英杰：女，副教授，研究方向?yàn)榛煦绫Ｃ芡ㄐ?/p>
楊騰：男，博士生，研究方向?yàn)檫b感圖像處理

通訊作者:
肖嵩　xiaosong@mail.xidian.edu.cn

中圖分類號(hào): TN918.4; TP751.1
計(jì)量
- 文章訪問(wèn)數(shù): 544
- HTML全文瀏覽量: 303
- PDF下載量: 110
- 被引次數(shù): 0
出版歷程
- 收稿日期: 2023-03-29
- 修回日期: 2023-09-12
- 網(wǎng)絡(luò)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: 針對(duì)衛(wèi)星圖像在傳輸、存儲(chǔ)過(guò)程中涉及的信息安全問(wèn)題，該文提出一種新型的基于混沌理論與DNA動(dòng)態(tài)編碼的衛(wèi)星圖像加密算法。首先，提出一種改進(jìn)型無(wú)限折疊混沌映射，拓寬了原有無(wú)限折疊混沌映射的混沌區(qū)間。之后，結(jié)合改進(jìn)型Chebyshev混沌映射與SHA-256哈希算法，生成加密算法的密鑰流，提升算法的明文敏感性。然后，利用混沌系統(tǒng)的狀態(tài)值對(duì)Hilbert局部置亂后的像素進(jìn)行DNA編碼，實(shí)現(xiàn)DNA動(dòng)態(tài)編碼，解決了DNA編碼規(guī)則較少所帶來(lái)的容易受到暴力攻擊的弱點(diǎn)。最后，使用混沌序列完成進(jìn)一步混沌加密，從而徹底混淆原始像素信息，增加加密算法的隨機(jī)性與復(fù)雜性，得到密文圖像。實(shí)驗(yàn)結(jié)果表明，該算法具有較好的加密效果和應(yīng)對(duì)各種攻擊的能力。
- 衛(wèi)星圖像加密 /
- 混沌理論 /
- DNA動(dòng)態(tài)編碼 /
- 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

圖 1 分岔圖與功率譜

下載: 全尺寸圖片幻燈片

圖 2 李雅普諾夫指數(shù)比較與譜熵復(fù)雜度比較

下載: 全尺寸圖片幻燈片

圖 3 加密算法過(guò)程圖

下載: 全尺寸圖片幻燈片

圖 4 部分衛(wèi)星圖像加密結(jié)果與直方圖信息

下載: 全尺寸圖片幻燈片

圖 5 明文圖像與密文圖像在水平、垂直、對(duì)角線方向上的相鄰像素分布

下載: 全尺寸圖片幻燈片

圖 6 受到不同程度裁剪攻擊的密文圖像的解密效果

下載: 全尺寸圖片幻燈片

圖 7 密鑰敏感性分析

下載: 全尺寸圖片幻燈片

表 1 本文算法與部分?jǐn)?shù)字圖像加密算法分析對(duì)比

算法	NPCR(%)	UACI(%)	信息熵	密鑰空間	水平方向	垂直方向	對(duì)角線方向
本文算法	99.610 9	33.468 1	7.997 6	2⁵⁶²	–0.016 8	0.008 1	0.000 2
文獻(xiàn)[27]	99.611 9	33.487 4	7.997 9	2²⁵⁶	0.007 4	0.006 7	0.001 2
文獻(xiàn)[28]	99.582 7	33.479 1	7.996 7	2²⁵⁶	0.004 9	0.003 7	0.008 9
文獻(xiàn)[29]	99.609 6	33.457 4	7.997 3	2²²²	0.001 9	0.001 2	0.000 9

下載: 導(dǎo)出CSV

表 2 本文算法與部分衛(wèi)星圖像加密算法分析對(duì)比

算法	NPCR(%)	UACI(%)	信息熵	密鑰空間	水平方向	垂直方向	對(duì)角線方向
本文算法	99.608 7	33.462 3	7.997 7	2⁵⁶²	0.002 7	–0.001 6	–0.004 0
文獻(xiàn)[2]	99.608 4	33.457 3	7.997 5	2³⁵⁸	0.005 2	0.006 5	0.004 6
文獻(xiàn)[3]	99.620 1	33.486 3	7.997 1	2²⁸⁴	0.006 1	–0.007 1	0.001 4

下載: 導(dǎo)出CSV

表 3 相關(guān)系數(shù)分析

衛(wèi)星圖像	明文圖像			密文圖像
衛(wèi)星圖像	水平方向	垂直方向	對(duì)角線方向	水平方向	垂直方向	對(duì)角線方向
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

下載: 導(dǎo)出CSV

表 4 信息熵分析

衛(wèi)星圖像	明文圖像信息熵	密文圖像信息熵
Qingdao	7.106 4	7.999 3
Xi'an近紅外波段	6.447 7	7.996 9

下載: 導(dǎo)出CSV

表 5 視覺(jué)與無(wú)損分析

測(cè)試圖像	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

下載: 導(dǎo)出CSV

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