Quasi-cyclic complementary dual codes

Guneri C., Ozkaya B., Sole P.

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

  • Publication Type: Article / Article
  • Volume: 42
  • Publication Date: 2016
  • Doi Number: 10.1016/j.ffa.2016.07.005
  • Journal Name: FINITE FIELDS AND THEIR APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.67-80
  • Keywords: Quasi-cyclic code, LCD code, Dual code, FINITE-FIELDS, ALGEBRAIC STRUCTURE, LINEAR CODES
  • Middle East Technical University Affiliated: No

Abstract

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.