CAJ | 학술논문

设计简单而实用的认证方案是认证码研究中的重要问题.利用正整数的无序分拆及典型群子群的计数定理得到了一类认证码,计算出了全部参数,并给出了密钥等概率选取时的安全性分析.该构造大幅增加了源状态数,这表明该认证码比以前采用矩阵法获得的一些认证码具有更好的特征.
설계간단이실용적인증방안시인증마연구중적중요문제.이용정정수적무서분탁급전형군자군적계수정리득도료일류인증마,계산출료전부삼수,병급출료밀약등개솔선취시적안전성분석.해구조대폭증가료원상태수,저표명해인증마비이전채용구진법획득적일사인증마구유경호적특정.
To design a simple and practical authentication scheme is one of the important issues in the authentication codes research. Applying partition of positive integers and Anzahl theorem of subgroups of classical groups, a class of authentication codes was obtained and all parameters of this scheme were computed. Simultaneously, supposing that the secret key was chosen according to the uniform probability distribution, security analysis of the scheme was given. The construction increased the number of the source state dramatically, which indicates that this code has better traits than some other codes obtained by matrices method before.