Self-Dual Normal Basis of a Galois Ring

Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is considered as a free module over R. Moreover, we expl...

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Bibliographic Details
Main Authors: Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra, Ahmad Muchlis
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/258187