结合S盒与混沌映射的图像加密算法

doi:10.13190/j.jbupt.2021-061

北京邮电大学学报 ›› 2021, Vol. 44 ›› Issue (6): 40-47.doi: 10.13190/j.jbupt.2021-061

结合S盒与混沌映射的图像加密算法

张雷¹, 陈川^1,2, 谭淇匀¹, 郝茂鑫¹, 杨学康¹

1. 齐鲁工业大学(山东省科学院) 网络空间安全学院, 济南 250353;
2. 齐鲁工业大学(山东省科学院) 山东省计算机网络重点实验室, 济南 250014

收稿日期:2021-04-09 出版日期:2021-12-28 发布日期:2021-12-28
通讯作者: 陈川(1982—),男,讲师,E-mail:chenchuan.3000@163.com. E-mail:chenchuan.3000@163.com
作者简介:张雷(1999—),男,本科生.
基金资助:
国家自然科学基金面上项目(62172244);2020年齐鲁工业大学(山东省科学院)大学生创新创业训练计划项目;齐鲁工业大学(山东省科学院)教改项目(201804)

An Image Encryption Algorithm Combining S-Box and Chaotic Mapping

ZHANG Lei¹, CHEN Chuan^1,2, TAN Qi-yun¹, HAO Mao-xin¹, YANG Xue-kang¹

1. School of Cyber Security, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;
2. Shandong Provincial Key Laboratory of Computer Networks, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250014, China

Received:2021-04-09 Online:2021-12-28 Published:2021-12-28

摘要/Abstract

摘要： 针对现有图像加密算法存在的加密质量低、明文敏感性差等问题,提出了一种结合S盒与混沌映射的图像加密算法. 对明文图像的散列值进行运算,得到混沌系统的密钥,以进行置乱和扩散,S盒通过Logistic映射生成. 利用二维Logistic映射和Chen混沌系统生成2个与明文图像大小相同的混沌序列,用来对图像的每个像素进行互换和一阶扩散,并利用混沌序列选择S盒元素与各像素值进行比特异或与同或运算,再对整体的各像素作二阶、三阶扩散处理. 仿真测试和安全性能分析结果表明,所提算法具有良好的加密效果、鲁棒性和明文敏感性,也能较好地抵抗各类攻击.

关键词: 图像加密算法, 混沌系统, S盒, 置乱扩散, 安全性分析

Abstract: To solve the problems of low encryption quality and poor plaintext sensitivity in the existing image encryption algorithms, an image encryption algorithm combining S-box and chaotic mapping is proposed. The Hash value of the plaintext image is used to generate the key of the chaotic system, which can operate scrambling and diffusion. In addition, the S-box is generated through the Logistic chaotic system. By using the two-dimensional Logistic mapping and Chen chaotic system to generate two chaotic sequences, which have the same image size with the plaintext image, the algorithm operates exchange and the first-order diffusion for each pixel of the image. Then, the algorithm selects the S-box elements based on the chaotic sequences to do bit XOR and XNOR operations for each pixel value, and operates the second-order and third-order diffusion on all the pixels. Simulation results and security performance analysis show that, the proposed algorithm has good encryption effect, robustness and plaintext sensitivity, and thus it can resist various attacks.

Key words: image encryption algorithm, chaotic system, S-box, scrambling and diffusion, security analysis

中图分类号:

TP309

张雷, 陈川, 谭淇匀, 郝茂鑫, 杨学康. 结合S盒与混沌映射的图像加密算法[J]. 北京邮电大学学报, 2021, 44(6): 40-47.

ZHANG Lei, CHEN Chuan, TAN Qi-yun, HAO Mao-xin, YANG Xue-kang. An Image Encryption Algorithm Combining S-Box and Chaotic Mapping[J]. Journal of Beijing University of Posts and Telecommunications, 2021, 44(6): 40-47.

参考文献

[1] Çavuşoǧlu Ü, Kaçar S, Pehlivan I, et al.Secure image encryption algorithm design using a novel chaos based S-Box[J].Chaos, Solitons & Fractals, 2017, 95:92-101.
[2] Aziz H, Gilani S M M, Hussain I, et al.A novel symmetric image cryptosystem resistant to noise perturbation based on S8 elliptic curve S-boxes and chaotic maps[J].The European Physical Journal Plus, 2020, 135(11):1-31.
[3] Jamal S S, Attaullah, Shah T, et al.Construction of new substitution boxes using linear fractional transformation and enhanced chaos[J].Chinese Journal of Physics, 2019, 60:564-572.
[4] Ye Guodong, Pan Chen, Huang Xiaoling, et al.An efficient pixel-level chaotic image encryption algorithm[J].Nonlinear Dynamics, 2018, 94(1):745-756.
[5] 徐扬, 黄迎久, 李海荣.基于量子Logistic映射的图像加密算法研究[J].包装工程, 2018, 39(7):180-186.Xu Yang, Huang Yingjiu, Li Hairong.Image encryption algorithm based on quantum logistic mapping[J].Packaging Engineering, 2018, 39(7):180-186.
[6] 平萍, 李健华, 毛莺池, 等.混沌映射与比特重组的图像加密[J].中国图像图形学报, 2017, 22(10):1348-1355.Ping Ping, Li Jianhua, Mao Yingchi, et al.Image encryption algorithm based on chaotic maps and bit reconstruction[J].Journal of Image and Graphics, 2017, 22(10):1348-1355.
[7] Talhaoui M Z, Wang Xingyuan.A new fractional one dimensional chaotic map and its application in high-speed image encryption[J].Information Sciences, 2021, 550:13-26.
[8] Ullah I, Azam N A, Hayat U.Efficient and secure substitution box and random number generators over Mordell elliptic curves[J].Journal of Information Security and Applications, 2021, 56:102619.
[9] Wang Rui, Deng Guoqiang, Duan Xuefeng.An image encryption scheme based on double chaotic cyclic shift and Josephus problem[J].Journal of Information Security and Applications, 2021, 58:102699.
[10] Mousavi M, Sadeghiyan B.A new image encryption scheme with Feistel like structure using chaotic S-box and Rubik cube based P-box[J].Multimedia Tools and Applications, 2021, 80(9):13157-13177.
[11] 吕群, 薛伟.结合混沌系统和动态S-盒的图像加密算法[J].小型微型计算机系统, 2018, 39(3):607-613.Lü Qun, Xue Wei.Image encryption algorithm combining chaotic system and dynamic S-boxes[J].Journal of Chinese Computer Systems, 2018, 39(3):607-613.
[12] Girija R, Singh H.Design of a novel pseudo random generator based on Walsh hadamard transform and Bi S-boxes[J].Procedia Computer Science, 2018, 132:795-804.
[13] Wu Yue, Zhou Yicong, Saveriades G, et al.Local Shannon entropy measure with statistical tests for image randomness[J].Information Sciences, 2013, 222:323-342.
[14] Wang Xingyuan, Liu Lintao, Zhang Yingqian.A novel chaotic block image encryption algorithm based on dynamic random growth technique[J].Optics and Lasers in Engineering, 2015, 66:10-18.

结合S盒与混沌映射的图像加密算法

An Image Encryption Algorithm Combining S-Box and Chaotic Mapping

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价

[1]	王永, 龚建, 王明月, 江功坤. 一种整数混沌映射的伪随机数生成器[J]. 北京邮电大学学报, 2022, 45(1): 58-62.
[2]	马向亮, 李冰, 杨丹, 黄克振, 段晓毅. 基于深度学习的类SM4算法S盒逆向分析[J]. 北京邮电大学学报, 2020, 43(5): 118-124.
[3]	汤永利, 赵明洁, 李丽香. 压缩感知安全理论研究[J]. 北京邮电大学学报, 2020, 43(3): 125-130.
[4]	钟尚勤徐国胜姚文斌杨义先. 基于主机安全组划分的网络安全性分析 [J]. 北京邮电大学学报, 2012, 35(1): 19-23.
[5]	李赵红, 侯建军, 宋伟 . 基于分散式块相关水印的图像认证技术 [J]. 北京邮电大学学报, 2008, 31(5): 107-111.