ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1F2 + u2F2
TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, cilt.9, sa.4, ss.876-881, 2019 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 4
- Basım Tarihi: 2019
- Dergi Adı: TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.876-881
- Trakya Üniversitesi Adresli: Evet
Özet
We introduce the finite ring F2 + u1F2 + u2F2, u12 = u1 , u22 = 0 , u1.u2 =u2.u1 = 0 which is not a finite chain ring. We focus on (1 + u2) -constacyclic codes overF2 + u1F2 + u2F2 of odd length. We prove that the Gray image of a linear (1 + u2)-constacyclic code over F2 + u1F2 + u2F2 of odd length n is a quasi-cyclic code of index4 and length 4n over F2.