摘要
In this paper, one construction of Cartesian authentication codes from the normal form of matrices over finite fields are presented and its size parameters are computed. Moreover, assume that the encoding rules are chosen according to a uniform probability distribution, the P I and P S , which denote the largest probabilities of a successful impersonation attack and of a successful substitution attack respectively, of these codes are also computed.
本文利用有限域上长方矩阵的等价标准型构作了一个笛卡尔认证码并计算出该码的所有参数．进而，假定编码规则按照统一的概率分布所选取，该码的成功伪造与成功替换的最大概率ＰＩ与ＰＳ亦被计算出来．
