Some Constacyclic Codes over Z4[u]/?u2?, New Gray Maps, and New Quaternary Codes
Küçük Resim Yok
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
this paper, we study lambda-constacyclic codes over the ring R = Z(4) + uZ(4), where u(2) = 0, for lambda = 1 + 3u and 3 + u. We introduce two new Gray maps from R to Z(4)(4) and show that the Gray images of lambda-constacyclic codes over R are quasi-cyclic over Z(4). Moreover, we present many examples of lambda-constacyclic codes over R whose Z(4)-images have better parameters than the currently best-known linear codes over Z(4).
Açıklama
Anahtar Kelimeler
Constacyclic Codes, Codes Over Rings, Quaternary Codes, Gray Maps
Kaynak
Algebra Colloquium
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
25
Sayı
3
