On the codes over the ring

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Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we construct the ring M 2 = F 2 + u 1F 2 + u 2F 2 U 1U 2F 2, where u 2 = 1, u 22 = 1,u 1 u 2 =. Firstly, we investigate the structure of the ring. Then we describe two Gray maps which are shown to be equivalent and it is obtained that C is the Gray image of a linear code over M 2 if and only if C is invariant under the permutation group K 4 = {1,?,ß, ?ß}. Morever we investigate Euclidean self dual codes over M 2.

Açıklama

Anahtar Kelimeler

Gray Map; Lee Weight; Self Dual Code; The Codes Over The Ring

Kaynak

Proceedings of the Jangjeon Mathematical Society

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

15

Sayı

2

Künye