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Discussiones Mathematicae - General Algebra and Applications
Article . 2017 . Peer-reviewed
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Discussiones Mathematicae - General Algebra and Applications
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Discussiones Mathematicae - General Algebra and Applications
Article . 2017
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https://dx.doi.org/10.7151/dmg...
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Codes over hyperfields

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 37, page 147 (issn: 1509-9415, eissn: 2084-0373, Copyright policy )
Authors: Atamewoue Surdive; Ndjeya Selestin; Strüngmann Lutz; Lele Celestin;

doi: 10.7151/dmgaa.1277

Codes over hyperfields

Abstract

In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices. We also demonstrate that codes over finite Krasner hyperfields are more interesting for code theory than codes over classical finite fields.

Related Organizations
Keywords

hypervector space, 20n20, QA1-939, linear code, 94b05, 54b20, hyperring, hyperfield, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
Published in a Diamond OA journal