基于高维流形计算的混沌密码攻击方法研究

项目名称： 基于高维流形计算的混沌密码攻击方法研究

项目编号： No.61501391

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 无线电电子学、电信技术

项目作者： 贾蒙

作者单位： 新乡学院

项目金额： 19万元

中文摘要： 混沌加密已成为安全通信领域研究的热点，然而针对混沌密码攻击方法的研究却仍处于萌芽阶段，亟待研究。本项目针对当前三种典型的混沌加密方法：明文与密钥相关联加密、多混沌系统叠加加密、混沌系统与元胞机联合加密，采用广义Foliation约束条件和网格细分法计算初始密钥；根据高维流形计算的方法沿混沌迭代的正反方向分别延拓，计算出混沌密钥的非线性流形；研究利用分形图像结合差分攻击的方法寻找明文和密钥的变化规律；寻找多混沌分离的合适方法，探讨混沌系统与元胞机联合加密的定量关系，得到元胞机迭代函数的伪随机序列；利用横截同宿点的潜在周期性,对加密系统进行故障引导。本课题拟解决混沌初始密钥计算精度低、混沌加密序列计算难度大的问题，对密码攻击领域有重要理论意义与实际价值，促进加密与密码攻击学科同步发展，为国家信息安全打下理论基础。

中文关键词： 混沌密码学；混沌加密；混沌序列；混沌安全系统；混沌保密通信

英文摘要： Chaos cryptogram has good advantages as great key space, sensitive initiate key and low degree of correlation. Chaos cryptogram has three research trends: 1. encryption key are associated with plaintext; 2. multi-chaos cryptogram ; 3. Chaos cryptogram combined with cellular automation system. Chaos cryptogram has been greatly used in image encoding field and voice encoding field, but few researches have been done in chaos cryptogram attacking field. The author has found that all maps used for chaos cryptogram is one to one map and the chaos maps can be used for encoding is limited, so the manifold computing method can be used for chaos cryptogram attack. The author has already grasped the method for high-dimension manifold computing and chaos map computing. The author planes to combine foliation constraint method with grid subdivision algorithm to compute initiate key . Then the author extends the chaos manifold both along and opposite the computing direction. The research steps are: collecting the right value, the accurate initiate key, computing the manifold, getting showing an effective method. The research has both great theoretical significance and actual value. It will fill the empty in chaos cryptogram attack field.

英文关键词： chaos cryptogram;chaotic encryption;chaos series;chaos safty system;chaos encryption communication