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

Research output: Contribution to journalArticlepeer-review

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 bounds on the largest minimum weights.

Original languageEnglish
Pages (from-to)2295-2312
Number of pages18
JournalDesigns, Codes, and Cryptography
Volume89
Issue number10
DOIs
Publication statusPublished - 2021 Oct

Keywords

  • Binary LCD code
  • Quaternary Hermitian LCD code
  • Ternary LCD code

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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