| 利用有限域上典型群几何学构造Cartesian认证码(英文) |
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| 引用本文： | 李凤高,霍元极.利用有限域上典型群几何学构造Cartesian认证码(英文)[J].河北北方学院学报(社会科学版),1997(6). |
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| 作者姓名： | 李凤高 霍元极 |
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| 作者单位： | 张家口师范专科学校数学系!张家口075028 |
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| 基金项目： | Supported by the National Natural Science Foundation of China |
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| 摘 要： | 利用偶特征的有限域上正交几何构造了一类Cartesian认证码,详细地计算了其参数。对于有限域上典型群的其它几何(辛几何、酉几何及奇特征的正交几何),也构造了相应的Cartesian认证码,给出了它们的参数。假设编码规则按照一种均匀分布选择,则这些码的成功攻击概率P_I和替换攻击成功概率P_S也被计算。
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| 关 键 词： | 有限域 辛几何 酉几何 正交几何 认证码 |
Constrctions of Cartesian Authentcation Codes from Geometry of Classical Groups over Finite Fields |
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| Li Fenggao,and,Huo Yuanji.Constrctions of Cartesian Authentcation Codes from Geometry of Classical Groups over Finite Fields[J].Journal of Hebei North University,1997(6). |
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| Authors: | Li Fenggao and Huo Yuanji |
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| Institution: | Li Fenggao and Huo YuanjiDepartment of Mathematics Zhangjiakou Teacher's College,Zhangjiakou,Hebei 075028,China |
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| Abstract: | In this paper a construction of Cartesian authentication codes is given from geometry of classical groups over finite fields, and their size parameters are computed. Assume that the encoding rules are chosen according to a uniform probability distribution, the probabilities PI and PS of a successful impersonation attack and a successful substitution attack, respectively, of these codes are also computed. |
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| Keywords: | Finite Field Symplectic Geometry Unitary Geometry Orthogonal Geometry Authentication Code |
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