CYCLIC AND CONSTACYCLIC CODES OVER<i> Z</i><i>4</i> + w<i>Z</i><i>4</i>

Aydin N., ÇENGELLENMİŞ Y., Dertli A.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.61, no.6, pp.1447-1457, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.4134/bkms.b210265
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1447-1457
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

. In this paper, we study the structure of cyclic, quasi-cyclic and constacyclic codes over the finite ring R = Z4+wZ4 of order 16, where w2 = 2. Additionally, self-dual codes and their properties are discussed. Two Gray maps are defined to obtain linear codes over Z4. Gray images of cyclic, quasi-cyclic and constacyclic codes over R are examined under these maps. We present new linear codes over Z4 obtained from codes over R via each Gray map.