English

Quasi-Cyclic Complementary Dual Code

Information Theory 2016-08-08 v1 math.IT

Abstract

LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian LCD codes are introduced to that end and their cyclic subclass is characterized. Constructions of QCCD codes from codes over larger alphabets are given.

Keywords

Cite

@article{arxiv.1506.01971,
  title  = {Quasi-Cyclic Complementary Dual Code},
  author = {Cem Güneri and Buket Özkaya and Patrick Solé},
  journal= {arXiv preprint arXiv:1506.01971},
  year   = {2016}
}
R2 v1 2026-06-22T09:48:06.815Z