Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-06-01

Journal: CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals: SCIE

Volume: 60

Issue: 2

Page Number: 495-512

ISSN: 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.