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Veuillez utiliser cette adresse pour citer ce document : https://hdl.handle.net/20.500.12177/2248
Titre: Some Applications of Hyperstructures in Coding Theory
Auteur(s): Tsafack, S. Atamewoue
Lele, Celestin
Ndjeya, Selestin
Mots-clés: hypermodule
hypervector space
mathematics
the notion of hyperrings (hyperfields)
Date de publication: 10-oct-2017
Résumé: The notion of hyperrings (hyperfields) is a generalization of the notion of rings (fields) where the additive composition ” + ” and/or the multiplicative composition ” · ” are changed to a hyperoperation. Similarly, there is the notion of hypervector space and hypermodule where internal and/or external compositions on the classical form have been generalized. 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.
Pagination / Nombre de pages: 1-8
1-8
URI/URL: https://dicames.online/jspui/handle/20.500.12177/2248
Autre(s) identifiant(s): http://imhotep-journal.org/index.php/imhotep/article/view/134/130
Collection(s) :Articles publiés dans des revues à comité scientifique

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