利用有限域上的向量空间构作Cartesian认证码

摘要

信息认证是信息安全的一个重要方面,而认证码是解决信息认证问题的一种有效方法.本文利用有限域上的向量空间构作了一个Cartesian认证码,并计算了该认证码的参数.当编码规则按均匀概率选取时,计算了该认证码的成功模仿攻击概率和成功替换攻击概率.%Information authentication is an important aspect of information security,and authentication code is an effective method to solve the problem of information authentication.In this paper,a construction of Cartesian authentication codes from vector space over finite fields is presented.The parameters are computed.Assuming that the encoding rules of the transmitter are chosen according to a uniform probability distribution,the probabilities of successful attacks are also computed.