利用奇、偶特征的正交几何构作的最优Cartesian认证码  

A Construction of Optimal Cartesian Authentication Codes from Orthogonal Geometry over Finite Fields of Odd or Even Characteristic

作　　者：赵友蕙[1] 王志平[1] 

机构地区：[1]北京信息职业技术学院基础部,北京100031

出　　处：《数学的实践与认识》2006年第8期255-260,共6页Mathematics in Practice and Theory

摘　　要：利用奇、偶特征有限域上的正交几何构作出一类C artesian认证码,并且计算了它们的参数.并在假定按照等概率分布来选择编码规则下,求出了认证码的成功的模仿攻击概率和成功的替换攻击概率.作为一个推论,还得到了一些最优的C artesian认证码.In the present paper a construction of Cartesian authentication codes from orthogonal geometry over （odd or even characteristic） finite fields are presented. The size parameters of the codes so constructed are computed. On assuming that encoding rules are chosen according to a uniform probability distribution, the probabilities of a successful impersonation attack and a successful substitution attack of these codes are also computed respectively. As a corollary, some optimal Cartesian authentication codes are obtained.

关 键 词：认证码 模仿攻击 替换攻击 正交几何 

分 类 号：O157.4[理学—数学]