基于有限素域乘法群与倾斜帐篷的图像加密算法  

IMAGE ENCRYPTION ALGORITHM BASED ON MULTIPLICATIVE GROUPS OF FINITE PRIME FIELDS AND SKEW TENT

作　　者：孟浩 李博[1] 杨耀森 Meng Hao Li Bo;Yang Yaosen(Key Laboratory of Instrument Science and Dynamic Testing,Ministry of Education,North University of China,Taiyuan 030051,Shanxi,China)

机构地区：[1]中北大学仪器科学与动态测试教育部重点实验室,山西太原030051

出　　处：《计算机应用与软件》2020年第2期282-287,共6页Computer Applications and Software

基　　金：国家自然科学基金项目(61471325);山西省重点研发计划项目(201803D121061)。

摘　　要：针对混沌映射在有限的精度平台下会退化为周期性行为的问题,提出一种新的图像加密算法。加密过程遵循经典的扩散和置乱结构,通过有限素域乘法群的性质对图像像素进行行和列的重新排列,为了减少相关性,行和列的排序以交错的方式多次重复。在扩散阶段,采用斜帐篷映射对像素进行异或运算,以此提高系统的安全性。结果分析表明,该算法具有极为敏感的秘钥,能够抵御各种攻击,性能优于几种先进的图像加密算法。We propose a new image encryption algorithm to slove the problem that chaotic mapping will degenerate into periodic behavior on limited precision platforms.It followed the classical diffusion and scrambling structure,and rearranged the rows and columns of the image pixels through the properties multiplication groups in finite prime fields.In order to reduce the correlation,the ranking of rows and columns was repeated multiple times in an interleaved way.In the diffusion stage,skew tent mapping was used to perform XOR operations on the pixels,so as to improve the security of the system.The result analysis shows that the algorithm has an extremely sensitive key and can resist various attacks,and its performance is superior to several advanced image encryption algorithms.

关 键 词：图像加密 混沌映射 有限素域乘法群 斜帐篷映射 秘钥敏感度 信息熵 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]