Self-Dual Normal Basis of a Galois Ring

Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra and Ahmad Muchlis

Journal of Mathematics, 2014, vol. 2014, 1-7

Abstract:

Let and 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 over , where is considered as a free module over . 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 over and the set of all invertible, circulant, and orthogonal matrices over .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:258187

DOI: 10.1155/2014/258187

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