QUASI-TWISTED CODES AS CONTRACTIONS OF QUASI-CYCLIC CODES

Ozbudak F., ÖZKAYA B.

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, cilt.18, sa.2, ss.394-409, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/amc.2023041
  • Dergi Adı: ADVANCES IN MATHEMATICS OF COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.394-409
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider the quasi-twisted codes as contractions of quasi-cyclic codes and construct a family of q-ary quasi-cyclic codes whose codewords have r-divisible weights, where r | q - 1. We show that any quasi-cyclic code of co-index divisible by r is a direct sum of r-divisible quasi-cyclic codes.