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Indexed by:期刊论文

Date of Publication:2010-06-01

Journal:CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals:SCIE

Volume:60

Issue:2

Page Number:495-512

ISSN No.:0011-4642

Key Words:finite group ring; BN-pair; authentication code

Abstract: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.