利用有限域上的2级准对角矩阵构作Cartesian认证码

Using 2 by 2 Quasi-diagonal Matrix over Finite Fields to Construct Cartesian Authentication Codes

利用有限域上的 2级准对角矩阵构作 Cartesian认证码 ,计算出了该类认证码的参数 .在假定编码规则按等概率分布选取的条件下 ,计算出了该类认证码被成功的模仿攻击的最大概率 PI及被成功的替换攻击的最大概率 PS.

A construction of Cartesian Authentication Codes from 2 by 2 Quasi diagonal matrices over finite fields are presented and their size parameters are computed.Moreover,assuming 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 a successful substitution attack respectively of this codes are also computed.