On some constacyclic codes over , their images, and new codes

Aydin N., ÇENGELLENMİŞ Y., Dertli A.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.86, sa.6, ss.1249-1255, 2018 (SCI-Expanded) identifier identifier

  • 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: Constacyclic codes, Codes over rings, Quaternary codes, Gray map, Best known codes
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we study -constacyclic codes over the ring where , for and . Two new Gray maps from R to are defined with the goal of obtaining new linear codes over . The Gray images of -constacyclic codes over R are determined. We then conducted a computer search and obtained many -constacyclic codes over R whose -images have better parameters than currently best-known linear codes over Z(4).