基于辛几何构作一类新的带仲裁的认证码  

Construction of Authentication Codes with Arbitration over Symplectic Geometry

作　　者：陈尚弟[1] 赵大伟[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2011年第1期51-54,共4页Journal of Civil Aviation University of China

基　　金：天津市自然科学基金项目(08JGYBJG13900);中国民航大学科研项目(09CAUC-S02)

摘　　要：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。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.

关 键 词：辛几何 带仲裁的认证码 有限域 

分 类 号：O157.4[理学—数学]