On (1 - u2)-cyclic and cyclic codes over IFp
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taru Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
It is extended a result of [5] to codes over the commutative ring IFp + uIF(p) + u(2)IFp where u(3) = 0. A new Gray map between codes over IFp + uIF(p) + u(2)IFp and IFp is defined. It is proved that the Gray image of the linear (1 - u(2))-cyclic code over the commutative ring IFp + uIF(p) + u(2)IF(p) of length n is a distance-invariant quasi-cyclic code of index p and length p(2)n over IFp. And it is proved that if (n, p) = 1, then every code of length p(2)n over IFp which is the Gray image of a linear cyclic code of length n over IFp + uIF(p) + u(2)IF(p) is permutation equivalent to a quasi-cyclic code of index p.
Açıklama
Anahtar Kelimeler
Gray Map, Cyclic Codes
Kaynak
Journal Of Discrete Mathematical Sciences & Cryptography
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
12
Sayı
2
