利用有限域上向量空间构造Cartesian认证码  

Construction of Cartesian authentication code from vector space over finite field

作　　者：王红丽[1] 

机构地区：[1]唐山师范学院数学与信息科学系,河北唐山063000

出　　处：《计算机工程与应用》2012年第1期114-115,149,共3页Computer Engineering and Applications

基　　金：国家自然科学基金(No.60776810);天津市自然科学基金(No.08JCYBJC13900);唐山师范学院自然科学基金(No.07C17)

摘　　要：利用有限域上的向量空间构造了一个新的Cartesian认证码,并计算了该认证码的参数。当编码规则按等概率分布选取时,求出了敌方模仿攻击成功的概率PI和替换攻击成功的概率PS,进而得到此认证码为一个PI最优的Cartesian认证码。A construction of Cartesian authentication code from the vector space over finite field is presented. The parameters of the code are computed. Assuming the encoding rules are chosen according to a uniform probability distribution, the probabilities of successful impersonation attack PI and successful substitution attack of opponent PS are also computed. It is an optimal Cartesian authentication code of PI.

关 键 词：有限域 向量空间 CARTESIAN 认证码 模仿攻击 替换攻击 

分 类 号：TN918.1[电子电信—通信与信息系统] O157.4[电子电信—信息与通信工程]