On some constacyclic codes over Z4[ u] / 〈u2- 1 〉 , their Z4 images, and new codes
Designs, Codes, and Cryptography, cilt.86, sa.6, ss.1249-1255, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 86 Sayı: 6
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s10623-017-0392-y
- Dergi Adı: Designs, Codes, and Cryptography
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1249-1255
- Anahtar Kelimeler: Best known codes, Codes over rings, Constacyclic codes, Gray map, Quaternary codes
- Trakya Üniversitesi Adresli: Evet
Özet
In this paper, we study λ-constacyclic codes over the ring R= Z4+ uZ4 where u2= 1 , for λ= 3 + 2 u and 2 + 3 u. Two new Gray maps from R to Z43 are defined with the goal of obtaining new linear codes over Z4. The Gray images of λ-constacyclic codes over R are determined. We then conducted a computer search and obtained many λ-constacyclic codes over R whose Z4-images have better parameters than currently best-known linear codes over Z4.