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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：哈尔滨工业大学
学位：博士
所在单位：数学科学学院
电子邮箱：jznan@dlut.edu.cn
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STRUCTURE OF UNITARY GROUPS OVER FINITE GROUP RINGS AND ITS APPLICATION
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论文类型：期刊论文
发表时间：2010-06-01
发表刊物：CZECHOSLOVAK MATHEMATICAL JOURNAL
收录刊物：SCIE
卷号：60
期号：2
页面范围：495-512
ISSN号：0011-4642
关键字：finite group ring; BN-pair; authentication code
摘要：In this paper, we determine all the normal forms of Hermitian matrices over finite group rings R = F(q2)G, where q = p(alpha), G is a commutative p-group with order p(beta). Furthermore, using the normal forms of Hermitian matrices, we study the structure of unitary group over R through investigating its BN-pair and order. As an application, we construct a Cartesian authentication code and compute its size parameters.