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Self-Dual Normal Basis of a Galois Ring
Joint Authors
Irwansyah, Yonghui
Muchtadi-Alamsyah, Intan
Barra, Aleams
Muchlis, Ahmad
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let R ′ = G R ( p s , p s m l ) and R = G R ( p s , p s m ) 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 explain a way to construct self-dual normal basis using particular system of polynomials.
Finally, we show the connection between self-dual normal basis for R ′ over R and the set of all invertible, circulant, and orthogonal matrices over R .
American Psychological Association (APA)
Irwansyah, Yonghui& Muchtadi-Alamsyah, Intan& Barra, Aleams& Muchlis, Ahmad. 2014. Self-Dual Normal Basis of a Galois Ring. Journal of Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1041068
Modern Language Association (MLA)
Irwansyah, Yonghui…[et al.]. Self-Dual Normal Basis of a Galois Ring. Journal of Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1041068
American Medical Association (AMA)
Irwansyah, Yonghui& Muchtadi-Alamsyah, Intan& Barra, Aleams& Muchlis, Ahmad. Self-Dual Normal Basis of a Galois Ring. Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1041068
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1041068