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Computing generating sets for quaternary codes using Gröbner bases
Publikationstyp
Journal Article
Date Issued
2013
Sprache
English
Author(s)
Institut
TORE-URI
Volume
84
Issue
1
Start Page
99
End Page
109
Citation
International Journal of Pure and Applied Mathematics 1 (84): 99-109 (2013)
Publisher DOI
Scopus ID
Publisher
Academic Publications
Gröbner bases techniques can be used to compute a basis of a subspace of a finite-dimensional vector space over finite prime field given as a matrix kernel. Linear codes can be described as such subspaces and thus are an interesting area of application. Based on this, Gröbner bases techniques will be used to compute a generating set of a quaternary code given as a matrix kernel. In particular, if the quaternary code is free, the algorithm will provide a basis for the dual code.
Subjects
Dual code
Gröbner basis
Linear code
Quaternary code
Z4-module
DDC Class
510: Mathematik