Construction of Weakly Self-Dual Normal Bases and Its Aplication in Orthogonal Transform Encoding Cyclic Codes

Irwansyah; Muchlis Ahmad; Alamsyah Intan Muchtadi; Suprijanto Djoko; Barra Aleams

doi:10.1051/epjconf/20146800040

EPJ Web of Conferences (Mar 2014)

Construction of Weakly Self-Dual Normal Bases and Its Aplication in Orthogonal Transform Encoding Cyclic Codes

Irwansyah ,
Muchlis Ahmad,
Alamsyah Intan Muchtadi,
Suprijanto Djoko,
Barra Aleams

Affiliations

Irwansyah: Algebra Research Group, Faculty of Mathematic and Natural Sciences, Bandung Institute of Technology
Muchlis Ahmad: Algebra Research Group, Faculty of Mathematic and Natural Sciences, Bandung Institute of Technology
Alamsyah Intan Muchtadi: Algebra Research Group, Faculty of Mathematic and Natural Sciences, Bandung Institute of Technology
Suprijanto Djoko: Combinatorial Research Group, Faculty of Mathematic and Natural Sciences, Bandung Institute of Technology
Barra Aleams: Algebra Research Group, Faculty of Mathematic and Natural Sciences, Bandung Institute of Technology

DOI: https://doi.org/10.1051/epjconf/20146800040
Journal volume & issue: Vol. 68
p. 00040

Abstract

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In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain. Therefore, one important thing in Fumy’s procedure is to choose an appropriate normal bases such that the dual bases can be determined easily. This problem leads to an application of weakly self-dual normal bases. In this paper we explain how to construct weakly self-dual normal bases and its type of bases in encoding cyclic codes.

Published in EPJ Web of Conferences

ISSN: 2100-014X (Online)
Publisher: EDP Sciences
Country of publisher: France
LCC subjects: Science: Physics
Website: http://www.epj-conferences.org/

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