利用伪辛几何构造新的带仲裁的认证码

目的 带仲裁的认证码(A^2-码)能解决通信系统中发方与收方互不信任的问题。方法 利用伪辛几何构造两类A^2-码。结果 得到了两类新的A^2-码，计算了码的参数，当编译码规划都按等概率分布选取时，计算出各种攻击成功的概率。结论 所得到的两类新的A^2-码比前人得到的A^2-码具有更好的抵抗模仿攻击的能力。

Construction of authentication codes with arbitration from pseudo-sympletic geometry

Aim Authentication code with arbitration(A~2-code)can solve the problem of transmitter/reciver disputes in comunication system.Methods Two construction methods of A~2-code from pseudosympletic geometry are given. Two families of new A~2-codes are obtained.Results The parameters of the A~2-codes are computed, and assuming the rules of the transmitter and the receiver are chosen according to an equal probability distribution,the probabilityies of success for different type of deceptions are also computed.Conclusion Those two families of new A~2-codes are better than previously known codes in defence impersonation attacks.