【作者】 刘振东；

【导师】 南基洙；

【作者基本信息】 大连理工大学 ， 基础数学， 2009， 硕士

【摘要】 具有仲裁的认证码既要防止敌手的欺骗,又要防止发方和收方的相互欺骗.本文利用特征数不为2的有限域F_q上的反对称矩阵的标准型构作了一个带仲裁的认证码,并计算了该码的参数.当假设收方和发方的编码规则按等概率分布选取时,本文给出了以下计算结果:·敌方模仿攻击成功的最大概率·敌方替换攻击成功的最大概率·发方模仿攻击成功的最大概率·收方模仿攻击成功的最大概率·收方替换攻击成功的最大概率更多还原

【Abstract】 Unconditionally secure authentication codes with arbitration protects against deceptionsfrom the transmitter and receives as well as those from the opponent.This article describesa construction of authentication codes with arbitration from skew matrices over finitefields(char≠2).And according to a uniform probability distribution their size parameters are computed.We have results as follows:·The probabilities of a successful impersonation by the opponent is·The probabilities of a successful substitution by the opponent is·The probabilities of a successful impersonation by the transmitter is·The probabilities of a successful impersonation by the receiver is·The probabilities of a successful substitution by the receiver is更多还原