辛几何上具有仲裁的认证码的一类新构作

New construction of authentication codes with arbitration from symplectic geometry

具有仲裁的认证码既能防止敌手的欺骗,又能防止收方和发方的互相欺骗,它能够解决通讯系统中收方与发方互不信任的问题。利用辛几何采用一种新的方法构作了一类具有仲裁的认证码,并计算了它们的参数,并在假定源状态和编码规则都是等概率分布选取时,计算了各种攻击成功的概率。

The authentication codes with arbitration protect against deceptions from the transmitters and receivers as well as those from the opponents. It can solve the problem that transmitters and receivers dispute in communication. A new construction of authentication codes with arbitration from symplectic geometry is given by new method in this paper. The parameters of the codes are computed. Assuming that the probability distribution of source state and encoding rules are uniform, the probabilities of successful attacks are also computed.