| 基于2-Jordan型幂零阵的Cartesian认证码的构造 |
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| 引用本文： | 李殿龙,骆吉洲. 基于2-Jordan型幂零阵的Cartesian认证码的构造[J]. 数学的实践与认识, 2005, 35(5): 104-109 |
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| 作者姓名： | 李殿龙 骆吉洲 |
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| 作者单位： | 1. 江南大学理学院,江苏,无锡,214063
2. 哈尔滨工业大学计算机科学与技术学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 江南大学 2 1 1基金 (3 1 40 0 0 -2 1 0 5 0 3 0 6) |
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| 摘 要： | 利用群在集合上的共轭作用,给出了一种由2 -Jordan型幂零矩阵构造Cartesian认证码的新方案,计算了相关参数,并在假定编码规则按等概率分布选取时分析了模仿攻击和替换攻击成功的概率.
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| 关 键 词： | 认证码 幂零阵 Jordan型 迷向子群 |
| 修稿时间： | 2004-02-21 |
Construction of Cartesian Authentication Codes Based on Nilpotent Matrices with 2-Jordan Normal Form |
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| LI Dian-long,LUO Ji-Zhou. Construction of Cartesian Authentication Codes Based on Nilpotent Matrices with 2-Jordan Normal Form[J]. Mathematics in Practice and Theory, 2005, 35(5): 104-109 |
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| Authors: | LI Dian-long LUO Ji-Zhou |
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| Affiliation: | LI Dian-long 1,LUO Ji-zhou 2 |
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| Abstract: | We describe a new construction of Cartesian authentication codes from nilpotent matrices with the 2-Jordan normal form by the ″conjugate action″ of a group on a set, and some its size parameters are computed. Moreover, assume that the encoding rules are chosen according to a uniform probability distribution, the largest probabilities of a successful impersonation attack and of a successful substitution attack of these codes are also computed. |
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| Keywords: | authentication codes nilpotent matrices Jordan normal form isotropy subgroup |
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