English

Matrix-Product Complementary dual Codes

Information Theory 2016-04-14 v1 math.IT

Abstract

Linear complementary dual codes (LCD) are linear codes satisfying CC={0}C\cap C^{\perp}=\{0\}. Under suitable conditions, matrix-product codes that are complementary dual codes are characterized. We construct LCD codes using quasi-orthogonal matrices. Some asymptotic results are derived.

Keywords

Cite

@article{arxiv.1604.03774,
  title  = {Matrix-Product Complementary dual Codes},
  author = {Xiusheng Liu and Hualu Liu},
  journal= {arXiv preprint arXiv:1604.03774},
  year   = {2016}
}

Comments

17pages

R2 v1 2026-06-22T13:31:22.554Z