English

Construction of quaternary Hermitian LCD codes

Information Theory 2022-07-05 v1 Discrete Mathematics Combinatorics math.IT

Abstract

We introduce a general construction of many Hermitian LCD [n,k][n, k] codes from a given Hermitian LCD [n,k][n, k] code. Furthermore, we present some results on punctured codes and shortened codes of quaternary Hermitian LCD codes. As an application, we improve some of the previously known lower bounds on the largest minimum weights of quaternary Hermitian LCD codes of length 12n3012 \le n \le 30.

Keywords

Cite

@article{arxiv.2207.00801,
  title  = {Construction of quaternary Hermitian LCD codes},
  author = {Keita Ishizuka},
  journal= {arXiv preprint arXiv:2207.00801},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-24T12:11:56.243Z