Some Constacyclic Codes over Z(4)[u]/< u(2)>, New Gray Maps, and New Quaternary Codes

ÇENGELLENMİŞ Y., Dertli A., Aydin N.

ALGEBRA COLLOQUIUM, cilt.25, sa.3, ss.369-376, 2018 (SCI-Expanded) identifier identifier

  • 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: constacyclic codes, codes over rings, quaternary codes, Gray maps
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

this paper, we study lambda-constacyclic codes over the ring R = Z(4) + uZ(4), where u(2) = 0, for lambda = 1 + 3u and 3 + u. We introduce two new Gray maps from R to Z(4)(4) and show that the Gray images of lambda-constacyclic codes over R are quasi-cyclic over Z(4). Moreover, we present many examples of lambda-constacyclic codes over R whose Z(4)-images have better parameters than the currently best-known linear codes over Z(4).