摘要
本文利用有限域上的辛几何来构造一种新的 Cartesian认证码 ,在文中计算了认证码的参数 ,并在假定按照等概率分布来选择编码规则下 ,计算了成功模仿攻击概率 PI 和成功替换攻击概率 Ps,它们都达到了最优或接近最优 ,为实现一些好的实用认证技术在理论上提供了可靠的基础 ,同时也给出了构造 Cartesian认证码的技巧 ,进而为利用建立在其它典型群上的几何构造
In the present paper,we present one new construction of so called Cartesian authentication code from symplectic geometry and develop Wan Zhexian’s construction.At the same time,its size parameters are computed.Assuming that the encoding rules are chosen according to a uniform probability distribution,the probabilities P I and P s of a successful impersonation attack and a successful substitution attack,respectively,of this code are also computed. Moreover,this code so construced,for which P I and P s is nearly optimal,is also determined.
出处
《工程数学学报》
CSCD
北大核心
2000年第B05期28-32,8,共6页
Chinese Journal of Engineering Mathematics
