Logistic混沌扰动三角形密码体制

摘要

Multivariate triangular cryptosystem is not secure under linear attacks.To address this challenge,in the paper we set up amultivariate triangular system with chaos disturbance by integrating the multivariate cryptosystem with chaos theory.We establish thesynchronous system of Logistic chaotic mapping and discretise the Logistic mapping on finite domain.By adding Logistic chaos disturbance intriangular system,we alter the central mapping structure in multivariate triangular cryptosystem,and demolish the linear relationship betweenthe central mapping equations of multivariate triangular system.It is proved by theoretical analysis that the proposed triangular cryptosystemwith Logistic chaos disturbance is able to resist the linear attacks,and thus the security of Jonquières system is enhanced.%针对多变量三角形体制不能抵抗线性攻击的问题，结合多变量密码体制与混沌理论建立混沌扰动多变量三角形体制。建立Logistic混沌映射的同步系统，并将Logistic映射在有限域上离散化。通过在三角形体制中增加Logistic混沌扰动，改变多变量三角形密码体制的中心映射的结构，消除多变量三角形体制的中心映射方程组之间存在的线性关系。通过理论分析证明提出的Logistic混浊扰动三角形密码体制能抵抗线性化攻击，提高了Jonquières体制的安全性。