Some constacyclic codes over Z4 [u]/(u2), new gray maps, and new quaternary codes
Algebra Colloquium, cilt.25, sa.3, ss.369-376, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 3
- Basım Tarihi: 2018
- Doi Numarası: 10.1142/s1005386718000263
- Dergi Adı: Algebra Colloquium
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.369-376
- Anahtar Kelimeler: codes over rings, constacyclic codes, Gray maps, quaternary codes
- Trakya Üniversitesi Adresli: Evet
Özet
In this paper, we study λ-constacyclic codes over the ring R = Z4 + uZ4, where u2 = 0, for λ =1 + 3u and 3 + u. We introduce two new Gray maps from R to Z4 4 and show that the Gray images of λ-constacyclic codes over R are quasi-cyclic over Z4. Moreover, we present many examples of λ-constacyclic codes over R whose Z4-images have better parameters than the currently best-known linear codes over Z4.