构作正交空间中的一类Cartesian认证码

利用正交几何构作出一类Cartesian认证码,并且计算了它们的参数.假定信源和编码规则都按等概率分布选取,求出了认证码的成功的模仿攻击概率PI和成功的替换攻击概率PS.本文构作的Cartesian认证码的成功的模仿攻击概率PI均达到了其下界.

A Construction of Cartesian Authentication Codes over Orthogonal Spaces

In the present paper a construction of Cartesian authentication codes from orthogonal geometry are presented. The size parameters of the codes so constructed are computed. On assuming that both source states and encoding rules are chosen according to a uniform probability distribution, the probabilities P_Iand P_Sof a successful impersonation attack and a successful substitution attack of these codes are also computed respectively. The probabilities of successful impersonation attacks of the codes so constructed reach their lower bounds.