基于辛几何构作一类新的带仲裁的认证码

具有仲裁的认证码既要防止敌手的欺骗,又要防止收方和发方的互相欺骗。利用有限域上辛几何构造了一类具有仲裁的认证码,计算了其容量参数。假设编码规则是按照均匀概率分布选择,给出了敌手模仿攻击、敌手替换攻击、发方模仿攻击、收方模仿攻击和收方替换攻击的成功概率。研究结论表明可用辛几何构作许多带仲裁的认证码。

Construction of Authentication Codes with Arbitration over Symplectic Geometry

Unconditionally secure authentication codes with arbitration protects against deceptions from the transmitter and from receives as well as those from the opponent.This paper describes a new construction of authentication codes with arbitration using symplectic geometry over finite fields,and their size parameters are computed.Assuming that the encoding rules one chosen according to a uniform probability distribution,the probabilities of a successful impersonation by the opponent,a successful substitution by the opponent,a successful impersonation by the transmitter,a successful impersonation by the receiver and a successful substitution by the receiver.This illustrates many authentication codes with arbitration can be constructed from symplectic geometry.