Quasi-cyclic complementary dual codes

Guneri C., Ozkaya B., Sole P.

FINITE FIELDS AND THEIR APPLICATIONS, cilt.42, ss.67-80, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.ffa.2016.07.005
  • Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.67-80
  • Anahtar Kelimeler: Quasi-cyclic code, LCD code, Dual code, FINITE-FIELDS, ALGEBRAIC STRUCTURE, LINEAR CODES
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Linear complementary dual codes are linear codes that intersect with their dual trivially. Quasi-cyclic codes that are complementary dual are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian linear complementary dual codes are introduced to that end and their cyclic subclass is characterized. Constructions of quasi-cyclic complementary dual codes from codes over larger alphabets are given. (C) 2016 Elsevier Inc. All rights reserved.