Abelian groups, Gauss periods, and normal bases

Authors
Gao, SH
Citation
Sh. Gao, Abelian groups, Gauss periods, and normal bases, FINITE F T, 7(1), 2001, pp. 149-164
Citations number
25
Categorie Soggetti
Mathematics
Journal title
FINITE FIELDS AND THEIR APPLICATIONS
ISSN journal
10715797 → ACNP
Volume
7
Issue
1
Year of publication
2001
Pages
149 - 164
Database
ISI
SICI code
1071-5797(200101)7:1<149:AGGPAN>2.0.ZU;2-G
Abstract
A result on finite abelian groups is first proved and then used to solve pr oblems in finite fields. Particularly, all finite fields that have normal b ases generated by general Gauss periods are characterized and it is shown h ow to find normal bases of low complexity. (C) 2000 Academic Press.