CAJ | 학술논문

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。
침대다변량삼각형체제불능저항선성공격적문제，결합다변량밀마체제여혼돈이론건립혼돈우동다변량삼각형체제。건립Logistic혼돈영사적동보계통，병장Logistic영사재유한역상리산화。통과재삼각형체제중증가Logistic혼돈우동，개변다변량삼각형밀마체제적중심영사적결구，소제다변량삼각형체제적중심영사방정조지간존재적선성관계。통과이론분석증명제출적Logistic혼탁우동삼각형밀마체제능저항선성화공격，제고료Jonquières체제적안전성。
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.