Identifying cyclic and (1 + 2v)-constacyclic codes over Z?[v]/ <v³ – 1> with Z?-linear codes
Künye
Kom, St T. & Ratnabala Devi, O. (2023). Identifying cyclic and (1 + 2v)-constacyclic codes over Z₄[v]/ <v³ – 1> with Z₄-linear codes. TWMS Journal Of Applied And Engineering Mathematics, 13(3), 951-962.Özet
This paper studies cyclic and (1 + 2v)-constacyclic codes over the ring Z?[v]/<v³ – 1>. By introducing three different Gray maps, we show that the Gray images of cyclic codes are quasi-cyclic codes over Z? and that of (1 + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z?. Moreover, we show that the Gray image of skew (1 + 2v)-constacyclic code is a quasi-cyclic code over Z?.
Cilt
13Sayı
3Bağlantı
https://hdl.handle.net/11729/5597http://jaem.isikun.edu.tr/web/index.php/archive/121-vol13no3/1083
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