酉几何上Cartesian认证码的构造  

Construction of Cartesian authentication codes from Unitary geometry

作　　者：任芳国[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2002年第1期11-16,共6页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目 (193710 5 1)

摘　　要：利用有限域上的酉几何构造一个Cartesian认证码 .计算了认证码的参数 ,并假定按照等概率分布选择编码规则 ,计算了成功模仿攻击概率PI 和成功替换攻击概率PS,它们都达到了最优或接近最优 .这一结果为实现一些好的实用认证技术在理论上提供了可靠的基础 。One construction of so-called Cartesian authentication code from unitary geometry is presented. The size parameters of the authentication codes are computed. Assuming that the encoding rules are chosen according to a uniform probability distribution, the probabilities P I and P S of a successful impersonation attack and a successful substitution attack, respectively, of this code are computed. This paper provides strictly the basis of theory for the technology of applying authentication system and develops the construction Cartesian authentication skill in finite geometries.

关 键 词：CARTESIAN认证码 模仿攻击 替换攻击 酉几何 典型群 有限域 编码规则 构造方法 

分 类 号：O157.4[理学—数学] O153.4[理学—基础数学]