Remark on subcodes of linear complementary dual codes

Masaaki Harada; Ken Saito

doi:10.1016/j.ipl.2020.105963

Remark on subcodes of linear complementary dual codes

Information Theory 2020-11-20 v1 Combinatorics math.IT

Authors: Masaaki Harada , Ken Saito

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Abstract

We show that any ternary Euclidean (resp.\ quaternary Hermitian) linear complementary dual $[n,k]$ code contains a Euclidean (resp.\ Hermitian) linear complementary dual $[n,k-1]$ subcode for $2 \le k \le n$ . As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes.

Keywords

coding theory

Cite

@article{arxiv.1908.08662,
  title  = {Remark on subcodes of linear complementary dual codes},
  author = {Masaaki Harada and Ken Saito},
  journal= {arXiv preprint arXiv:1908.08662},
  year   = {2020}
}