Some constacyclic codes over Z4 [u]/(u2), new gray maps, and new quaternary codes
Algebra Colloquium, vol.25, no.3, pp.369-376, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 3
- Publication Date: 2018
- Doi Number: 10.1142/s1005386718000263
- Journal Name: Algebra Colloquium
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.369-376
- Keywords: codes over rings, constacyclic codes, Gray maps, quaternary codes
- Trakya University Affiliated: Yes
Abstract
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.