摘要
针对多变量三角形体制中Jonquières映射的明密文之间存在线性关系导致无法抵抗线性攻击的缺陷,研究Jonquières体制的中心映射中非线性扰动方法。通过将一维混沌Logistic映射及其同步反馈映射进行离散化后对Jonquières体制的中心映射进行扰动,利用混沌序列的非线性特性,破坏明密文之间的线性关系,使线性攻击实施的先决条件不成立,以增强Jonquières体制的安全性。安全性分析表明,进行混沌扰动后的Jonquières体制的明密文之间不存在线性关系,能抵抗线性化攻击。
The linearity relationship between plain texts and cipher texts encrypted by Jonquières map,which is a kind of multivariate triangular cryptosystem,leads to a great security challenge to linear attack.A non-linear perturbation is propose to the central map of Jonquières system.To make the linear attack be ineffective,the onedimension Logistic map and its synchronous feedback map are perturbed into the central map of Jonquières system.Because of the non-linearity of chaos system,the linearity relationship of inputs and outputs are broken.And thus,the security is improved.The analysis confirms that the linear attack doesn ’t work on the chaos perturbed Jonquières system.
出处
《科学技术与工程》
北大核心
2013年第18期5203-5206,5239,共5页
Science Technology and Engineering
基金
上海市晨光计划(09CGB07)资助
关键词
线性
混沌
安全
映射
linearity chaos security map
