A characterization of the codes over Fp
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A new Gray map between codes over Fp+uFp+u 2Fp+u3Fp and codes over F p is defined. It is proved that the Gray image of the linear (1 - u3)-cyclic code over the commutative ring Fp + uF p + u2Fp + u3Fp of length n is a distance invariant quasicyclic code of index p2 and the length p3n over Fp. And it is proved that if (n, p) = 1, then every code over Fp which is the Gray image of a linear cyclic code over Fp + uFp + u2Fp + u 3Fp of length n is permutation equivalent to a quasi-cyclic code of index p2.
Açıklama
Anahtar Kelimeler
Cyclic Codes; Gray Map; Quasi-Cyclic Code
Kaynak
Advanced Studies in Contemporary Mathematics (Kyungshang)
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
20
Sayı
1
