基于分数阶超混沌的混沌细胞自动机图像加密算法

计算机科学 ›› 2019, Vol. 46 ›› Issue (11A): 502-506.

基于分数阶超混沌的混沌细胞自动机图像加密算法

梁晏慧, 李国东

(新疆财经大学统计与数据科学学院乌鲁木齐830012)

出版日期:2019-11-10 发布日期:2019-11-20
通讯作者: 李国东(1972-),男,博士,教授,硕士生导师,主要研究方向为数据分析与图像处理,E-mail:lgdzhy@126.com。
作者简介:梁晏慧(1991-),女,硕士生,主要研究方向为数据分析与图像处理,E-mail:240844268@qq.com。
基金资助:
本文受国家自然科学基金(11461063),新疆维吾尔自治区自然科基金(2017D01A24),新疆财经大学基金(2019XTD002),新疆财经大学研究生科研创新项目(XJUFE2019K0009)资助。

Image Encryption Algorithm of Chaotic Cellular Automata Based on Fractional Hyperchaos

LIANG Yan-hui, LI Guo-dong

(School of Statistics and Data Science,Xinjiang University of Finance and Economics,Urumqi 830012,China)

Online:2019-11-10 Published:2019-11-20

摘要/Abstract

摘要： 为了保证信息传输过程中图像的安全性和可靠性,普通的置乱-扩散加密算法已不能够满足现有的安全与效率问题。文中将明文转化为哈希值作为混沌的初始值,使用分数阶Chen超混沌产生4个混沌序列。首先运用了三维Arnold映射进行双向变参置乱,再设计了超混沌S盒进行代换,最后用混沌细胞自动机循环扩散,从而达到了置乱、代换、扩散(DSD)相结合的一整套加密流程。该算法的密钥空间大、密钥敏感性高、安全性高、抗差分攻击能力强、密文统计直方图均匀、密文相邻像素相关性低,信息熵接近理想值。该算法不需要多轮迭代就可达到很高的安全级别,加密安全性与加密效率得到了显著提高。

关键词: 超混沌S盒代换, 分数阶Chen超混沌, 混沌细胞自动机, 三维Arnold映射, 双向变参

Abstract: In order to ensure the security and reliability of image in the process of information transmission,ordinary scrambling-diffusion encryption algorithm can not meet the security and efficiency problems nowadays.In this paper,the plaintext is transformed into hash value as the initial value of chaos,and four chaotic sequences are generated by fractional order Chen hyperchaos.Firstly,three-dimensional Arnold mapping is used for bidirectional parametric scrambling,and then hyperchaotic S-box is designed for substitution.Finally,chaotic cellular automata is used to circulate and diffuse,thus achieving a complete encryption process combining scrambling,substitution and diffusion (DSD).The algorithm has large key space,high key sensitivity,uniform statistical histogram of ciphertext,low correlation between adjacent pixels of ciphertext,high security and strong resistance to differential attack,and information entropy is close to ideal value.The algorithm can achieve a high level of security without multiple iterations,and the encryption security and efficiency are significantly improved.

Key words: bidirectional parametric, chaotic cellular automata, Fractional Chen hyperchaos, hyperchaotic S-box substitution, three-dimensional Arnold map

中图分类号:

TP309.7

梁晏慧, 李国东. 基于分数阶超混沌的混沌细胞自动机图像加密算法[J]. 计算机科学, 2019, 46(11A): 502-506. https://doi.org/

LIANG Yan-hui, LI Guo-dong. Image Encryption Algorithm of Chaotic Cellular Automata Based on Fractional Hyperchaos[J]. Computer Science, 2019, 46(11A): 502-506. https://doi.org/

参考文献

[1]陈翼翔,汪小刚.基于双随机相位编码的非线性双图像加密方法[J].光学学报,2014,34(7):0710001.
[2]陈翼翔,汪小刚.一种基于迭代振幅-相位复算法和非线性双随机相位编码的图像加密方法[J].光学学报,2014,34(8):0810003.
[3]GAO T G,CHEN Z Q.A new image encrypyion algorithmbased on hyper-chaos[J].Physics letter A,2008(372):394-400.
[4]CHEN G,ZHAO X Y,LI J L.A Self-Adaptive Algoritthm on image Encryption[J].Journal of Software,2005,16(11):1975-1982.
[5]马在光,丘水生.基于广义猫映射的一种图像加密系统[J].通信学报,2003,24(2):51-57.
[6]ACHARYA B,PATRA S K,PANDA G.Image Encryption by Novel Cryptosystem Using Matrix Transformation[C]∥First Internation Conference on Emerging Trends in Engineering and Technology,2008.Washington D C:IEEE Press,2008,77-81.
[7]朱薇,杨庚,陈蕾,等.基于混沌的改进双随机相位编码图像加密算法[J].光学学报,2014,34(6):0607001.
[8]潘泉,张磊,孟晋丽,等.小波滤波方法及其应用[M].北京:清华大学出版社,2005.
[9]刘钺.一种小波变换域图像加密技术[J].计算工程与应用,2010,46(19):157-159.
[10]倪林.小波变换与图像处理[M].合肥:中国科技技术大学出版社,2010.
[11]SCHNEIER B.Applied cryptography:protocols,algorithms,and source code in C[M].John Wiley & Sons,2007.
[12]绪其军,李德林,常琛亮,等.基于Q-plate的双图像非对称偏振加密[J].物理学报:1-8.[2019-04-16].
[13]曾健清,王君,吴超.基于频谱融合和柱面衍射的双图像非对称加密[J].光子学报:1-11.[2019-04-16].
[14]梁锡坤,陶利民,胡斌.一类广义混沌映射和矩阵非线性变换的图像混合加密[J].中国图象图形学报,2019,24(3):325-333.
[15]钟艳如,刘华役,孙希延,等.基于2D Chebyshev-Sine映射的图像加密算法[J].浙江大学学报(理学版),2019(2):131-141,160.
[16]拜亚萌,张燕玲,邓小鸿.自适应分块的医学图像混沌加解密算法[J].计算机应用研究:1-5.[2019-04-16].
[17]韩啸,熊礼治,蒋鹏程,等.一种密文图像安全性评价方案[J].计算机应用与软件,2019,36(3):148-153.
[18]傅彬.一种混沌的图像加密算法的研究[J].科技通报,2019,35(2):70-75.
[19]袁源,和红杰,陈帆.减少相邻位平面间冗余度的加密图像可逆信息隐藏[J].中国图象图形学报,219,24(1):13-22.
[20]程宁,王茜娟.基于混沌Gyrator变换与矩阵分解的光学图像加密算法[J].电子测量与仪器学报,2019,33(1):191-202.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed