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利用有限局部环Z/p~kZ上的矩阵构作Cartesian认证码
引用本文:孔祥鹏.利用有限局部环Z/p~kZ上的矩阵构作Cartesian认证码[J].山东理工大学学报,2008(6).
作者姓名:孔祥鹏
作者单位:淄博职业学院建筑工程系;
摘    要:设R=Z/pkZ,其中p是素数,k>1.利用R上矩阵的标准型构作了一个Cartesian认证码,并计算了该认证码的各个参数.在假定信源和编码规则按照等概率均匀分布的条件下,给出了认证码的成功模仿攻击概率PI和替换攻击概率PS.

关 键 词:Cartesian认证码  矩阵  有限局部环

Using matrices over Z/p~kZ to construct cartesian authentication codes
KONG Xiang-peng.Using matrices over Z/p~kZ to construct cartesian authentication codes[J].Journal of Shandong University of Technology:Science and Technology,2008(6).
Authors:KONG Xiang-peng
Institution:KONG Xiang-peng(Department of Building Engineering,Zibo Vocational Institute,Zibo 255000,China)
Abstract:Let R=Z/pkZ be a finite local ring where p is a prime and k>1.In this paper,we used matrices over the finite local ring R to construct Cartesian authentication codes.Moreover,assume that the encoding rules were chosen according to a uniform probability,PI and PS,which denote the largest probabilities of a successful impersonation attack and a successful substitution attack,respectively that were also computed.
Keywords:cartesian authentication codes  matrix  finite local ring  
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