CAJ | 학술논문

多变量公钥密码体制变换过程均为矩阵运算，导致其安全性存在缺陷，针对此问题，文章提出基于混沌映射的多变量密码体制。利用混沌映射的非线性、伪随机性等特性，对明文进行混沌预处理，同时摒弃传统多变量公钥密码体制中的第1个仿射变换，将多变量密码体制内部的线性变换转换为非线性变换，再通过中心映射和另一个仿射变换进行混淆与扩散处理。安全性分析显示，新的多变量密码体制能够有效抵抗各种常见的攻击，可以应用于加解密与签名。
다변량공약밀마체제변환과정균위구진운산，도치기안전성존재결함，침대차문제，문장제출기우혼돈영사적다변량밀마체제。이용혼돈영사적비선성、위수궤성등특성，대명문진행혼돈예처리，동시병기전통다변량공약밀마체제중적제1개방사변환，장다변량밀마체제내부적선성변환전환위비선성변환，재통과중심영사화령일개방사변환진행혼효여확산처리。안전성분석현시，신적다변량밀마체제능구유효저항각충상견적공격，가이응용우가해밀여첨명。
The matrix operations in multivariate public key cryptosystem lead to security threats .To improve the security of multivariate cryptosystem ,a novel multivariate cryptosystem with a chaos perturbation is pro-posed .Based on the nonlinearity and pseudo-random features ,plaintexts are pre-processed by using a chaos system .At the same time ,one of affine transformations in the traditional multivariate cryptosystem is discar-ded and the linear transformation inside the multivariate cryptosystem is transferred into nonlinear transforma -tion .The diffusion and confusion operations are applied by the central map and the other transformation in multivariate cryptosystem . The result of security analysis indicates that the proposed cryptosystem resists common attacks and is an alternative cryptosystem for encryption and signature .