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New metrics arising from matroids of linear codes

Title
New metrics arising from matroids of linear codes
Authors
Kim D.C.Kim D.S.Hyun J.Y.
Ewha Authors
현종윤
SCOPUS Author ID
현종윤scopus
Issue Date
2013
Journal Title
Proceedings of the Jangjeon Mathematical Society
ISSN
1598-7264JCR Link
Citation
vol. 16, no. 2, pp. 181 - 193
Indexed
SCOPUS; KCI scopus
Abstract
In this paper, from each linear code in Fn q, we construct two metrics, the one called "the metric associated to it" and the other "the symmetrized metric associated to it." They are respectively defined in terms of the rank function and the rank and corank functions of the matroid of the linear code. Such metrics constructed from linear codes give rise to abundant new metrics on the space Fn q. We investigate their properties and illustrate our results with some examples.
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연구기관 > 수리과학연구소 > Journal papers
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