Codes Over Hyperfields

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...

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Bibliographic Details
Main Authors: Atamewoue Surdive, Ndjeya Selestin, Strüngmann Lutz, Lele Celestin
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1277