ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1F2 + u2F2

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Turkic World Mathematical Soc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We introduce the finite ring F-2 + u(1)F(2) + u(2)F(2), u(1)(2) = u(1), u(2)(2) = 0, u(1).u(2) = u(2).u(1) = 0 which is not a finite chain ring. We focus on (1 + u(2)) -constacyclic codes over F-2 + u(1)F(2) + u(2)F(2) of odd length. We prove that the Gray image of a linear (1 + u(2)) -constacyclic code over F-2 + u(1)F(2) + u(2)F(2) of odd length n is a quasi-cyclic code of index 4 and length 4 n over F-2.

Açıklama

Anahtar Kelimeler

Constacylic Code, Gray Image, Cyclic Codes

Kaynak

Twms Journal Of Applied And Engineering Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

9

Sayı

4

Künye