基于分数阶Fourier的双混沌加密算法  

Double Chaotic Image Encryption Algorithm Based on Fractional Transform

作　　者：汪乐乐 李国东[1] WANG Le-le;LI Guo-dong(School of Mathematics,Xinjiang University of Finance and Economics,Urumqi 830012,China)

机构地区：[1]新疆财经大学应用数学学院,乌鲁木齐830012

出　　处：《计算机科学》2018年第B11期393-397,401,共6页Computer Science

基　　金：国家自然科学基金(11461063);国家社科基金(14BTJ021);新疆维吾尔自治区普通高等学校人文社会科学重点研究基地基金(050315B03);新疆财经大学研究生科研创新项目(XJUFE2017K006;XJGRI2017112);新疆维吾尔自治区自然科学基金(2017D01A24;2017D01A23)资助

摘　　要：图像加密在生活中有着重要地位。针对传统的自然混沌系统安全性较低的问题,提出了改进的H-L双混沌和分数阶Fourier变换的图像加密算法。以穷举法解出的最优解序列的顺序为基础,将混沌映射与分数阶Fourier变换结合起来,实现了空间域和频域的置乱,使明文信息得到了隐藏。仿真实验结果表明,通过改进的算法达到了较好的加密效果,其密钥空间大、计算复杂度低、敏感性强,能有效地抵抗统计攻击等,在图形信息安全方面有一定的应用价值。Image encryption plays an important role in daily life.Aiming at the problem of low security of traditional natural chaos system,an improved image encryption algorithm based on H-L double chaos and fractional Fourier transform was proposed.Based on the order of the optimal solution sequence solved by the exhaustive method,the chaotic map is combined with the fractional Fourier transform.At the same time,it combines with the fractional Fourier transform to realize the scrambling in the spatial and the frequency domains,so that the plain text information is hidden.The simulation results show that the improved algorithm achieves good encryption effect,large key space,low computational complexity,strong sensitivity and effective anti-statistical attack performance.It has certain value in the aspect of gra-phic information security.

关 键 词：离散余弦变换 分数阶FOURIER 背包问题 图像加密 混沌加密 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]