On some special codes over Fp + uFp + u2Fp
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We define a new map between codes over F-p + uF(p) + u(2)F(p) and F-p which is different to that defined in [2]. It is proved that the image of the linear cyclic code over the commutative ring F-p + uF(p) + u(2)F(p) with length n under this map is a distance-invariant quasi-cyclic code of index p(2) with length p(2)n over F-p. Moreover, it is proved that, if (n, p) = 1, then every code with length p(2)n over F-p which is the image of a linear (1 - u(2))-cyclic code with length n over F-p + uF(p) + u(2)F(p) under this map is permutation equivalent to a quasi-cyclic code of index p(2). (C) 2011 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Cyclic Codes, Constacyclic Codes, Quasi-Cyclic Codes, Codes Over Rings, Linear Codes, Gray Map, Cyclic Codes
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
218
Sayı
3
