利用奇异酉几何构造新的带仲裁的认证码  

A new construction of authentication codes with arbitration from singular unitary geometry

作　　者：高有[1] 冯晶[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《高校应用数学学报（A辑）》2011年第1期89-94,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(60776810);天津自然科学基金(08JCYBJC13900)

摘　　要：带仲裁的认证码既要防止敌人的欺骗,又要防止收方和发方的相互欺骗.文章利用有限域上奇异酉几何构造了一个新的带仲裁的认证码,计算了这个码的各种参数.当收方和发方的编码规则按等概率分布选取时,计算出了各种攻击成功的概率.Authentication codes with arbitration protect against deception from the transmitter, from the receiver as well as from the opponent.A new construction of authentication codes from singular unitary geometry over finite fields is presented and the parameters of the codes are computed. Under the assumption that the encoding rules of the transmitter and the receiver are chosen according to a uniform probability distribution,the probabilities of success for different types of deceptions are also computed.

关 键 词：有限域 带仲裁的认证码 奇异酉几何 

分 类 号：O157.4[理学—数学]