English

Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes

Information Theory 2021-01-29 v1 Combinatorics math.IT

Abstract

We give two methods for constructing many linear complementary dual (LCD for short) codes from a given LCD code, by modifying some known methods for constructing self-dual codes. Using the methods, we construct binary LCD codes and quaternary Hermitian LCD codes, which improve the previously known lower bound on the largest minimum weights.

Keywords

Cite

@article{arxiv.2101.11821,
  title  = {Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes},
  author = {Masaaki Harada},
  journal= {arXiv preprint arXiv:2101.11821},
  year   = {2021}
}

Comments

25 pages

R2 v1 2026-06-23T22:36:40.619Z