On (1 - u2)-cyclic codes over F2k + uF2k + u2F2k

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

It is extended a result of [3] to codes over the commutative ring F 2k + uF2k + u2F 2k where k ? N and u3 = 0. A new Gray map between codes over F2k + uF2k + u2F2k and F2k is defined. It is proved that the Gray image of the linear (1 - u2)-cyclic code over the commutative ring F2k + uF2k + u2F2k of length n is a distance-invariant quasicyclic code of index 22k-1 and the length 2 2kn over F2k.

Açıklama

Anahtar Kelimeler

Cyclic Codes; Gray Map

Kaynak

Proceedings of the Jangjeon Mathematical Society

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

12

Sayı

3

Künye