基于分数阶Chen超混沌的频域自适应图像加密算法

计算机科学 ›› 2019, Vol. 46 ›› Issue (11A): 488-492.

基于分数阶Chen超混沌的频域自适应图像加密算法

梁晏慧, 李国东, 王爱银

(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),国家社会科学基金一般项目(18BJL072),新疆维吾尔自治区自然科学基金(2017D01A24),新疆财经大学研究生科研创新项目(XJUFE2018K040)资助。

Frequency Domain Adaptive Image Encryption Algorithm Based on Fractional Order Chen Hyperchaos

LIANG Yan-hui, LI Guo-dong, WANG Ai-yan

(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： 随着互联网科技的发展与繁荣,数字图像的传播与应用越来越广泛,数字图像的安全性也越来越受到重视。在图像加密算法中,置乱-扩散结构的加密算法因符合图像数据二维分布的特点,得到了普遍的应用。然而,普通的置乱-扩散加密算法存在安全性不高、加密效率低等问题。因此,文中使用分数阶Chen超混沌在频域上置乱,再设计超混沌S盒进行代换,最后用双向异或循环左移扩散,从而达到了结合频域与空域,置乱、代换、扩散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、密文统计直方图均匀、密文相邻像素的相关性低、安全性高、抗差分攻击能力强,并且信息熵接近理想值。该算法仅通过3轮迭代就可达到与以前提出的图像加密算法相同的安全级别,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, 频域置乱, 双向扩散, 整数Haar小波

Abstract: With the development and prosperity of Internet technology,the dissemination and application of digital images are more and more extensive,and the security of digital images is also paid more and more attention.In image encryption algorithm,scrambling-diffusion encryption algorithm is widely used,because it conforms to the characteristics of two-dimensional distribution of image data.However,the common scrambling-diffusion encryption algorithm has some problems,such as low security and low encryption efficiency.Thereofre,fractional order Chen hyperchaos is used to scramble in frequency domain,then hyperchaotic S-box is designed to replace it.Finally,bi-directional exclusive or cyclic left-shift diffusion is used to achieve a complete encryption process combining frequency domain with spatial domain,scrambling,substitution and diffusion.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 r is close to ideal value.The algorithm can achieve the same security level as the previous image encryption algorithm only through three iterations,and the encryption efficiency is significantly improved.

Key words: Bidirectional diffusion, Fractional order Chen hyperchaos, Frequency domain scrambling, Hyperchaotic S-box substitution, Integer Haar wavelet

中图分类号:

TP309.7

梁晏慧, 李国东, 王爱银. 基于分数阶Chen超混沌的频域自适应图像加密算法[J]. 计算机科学, 2019, 46(11A): 488-492. https://doi.org/

LIANG Yan-hui, LI Guo-dong, WANG Ai-yan. Frequency Domain Adaptive Image Encryption Algorithm Based on Fractional Order Chen Hyperchaos[J]. Computer Science, 2019, 46(11A): 488-492. 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 Wile y& 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／OL].[2019-10-25].https://doi.org/10.19734/j.issn.1001-3695.2018.10.0830.
[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,2019,24(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.

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