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.