一类Cartesian认证码的构造

A construction method of Cartesian authentication codes

利用有限域上特殊线性群的BN对分解,构造了一类Cartesian认证码,计算了其参数,并且计算了在给定译码规则下一致分布的成功的模仿攻击概率Pl和替换攻击概率PS.

Authentication codes play an important role in modern communication.Authentication means that the receiver can identify the information,which is an essential technology avoiding the attack of others.A construction method of Cartesian authentication codes is presented and the parameters are computed.Moreover,assuming that the encoding rules are chosen,Pl and PS,which denote the largest uniformly distributed probability of a successful impersonation attack of these codes and of a successful substitution attack respectively,are also computed.