基于三角函数的改进混沌加密系统研究  

Research on improved chaotic encryption system based on trigonometric function

作　　者：薛建华[1] 徐蔡余 Xue Jianhua;Xu Caiyu(Taizhou Institute of Science&Technology,Nanjing University of Science and Technology,Taizhou 225300,China;School of Public Affairs,Nanjing University of Science and Technology,Nanjing 210014,China)

机构地区：[1]南京理工大学泰州科技学院,江苏泰州225300 [2]南京理工大学公共事务学院,江苏南京210014

出　　处：《南京理工大学学报》2023年第2期183-191,共9页Journal of Nanjing University of Science and Technology

基　　金：泰州市科技支撑计划(社会发展)项目(SSF20210031)。

摘　　要：鉴于当前多数混沌加密系统存在有效参数空间较窄或不连续、混沌相空间分布不均匀、运行效率低、实用性不强等局限,该文通过对一个基于正余弦的二维混沌系统进行改进,拓展出新的三维混沌系统,并利用Lyapunov指数、分岔图、相位图、混沌时序图、直方图等来反映改进后的混沌性能。通过编码加密仿真试验,验证了该三维系统的可行性。结果表明,该系统对初始条件变化极为敏感,符合国家随机性检测标准,其混沌有效参数空间较大且连续,信息加密后直方图分布均匀,能够有效地抵御熵值分析攻击、差分分析攻击、统计攻击以及穷举攻击等,为密码技术研究提供了一种新的思路。In view of the limitations of most current chaotic encryption systems,such as narrow or discontinuous effective parameter space,uneven distribution of chaotic phase space,low operation efficiency,and weak practicability,this paper proposes a new three-dimensional chaotic system by improving a two-dimensional chaotic system based on sine and cosine,and uses Lyapunov exponent,bifurcation diagram,phase diagram,chaotic sequence diagram,histogram to reflect the chaotic performance of improved system.The feasibility of the three-dimensional system is verified by encoded encryption simulation experiments.Results show that the system is extremely sensitive to the change of initial conditions,and conforms to the national standard of randomness detection.The chaotic effective parameter space is large and continuous.The histogram distribution of informations after encryption is uniform.The three-dimensional chaotic system can effectively resist entropy analysis attacks,differential analysis attacks,statistical attacks,brute force attacks,etc.It provides a new way of thinking for the research of cryptographic technology.

关 键 词：三维混沌系统 三角函数 混沌加密 流密码 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]