Binary LCD codes and self-orthogonal codes via simplicial complexes

Yansheng Wu, Yoonjin Lee

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years for some practical applications. Hence, in this letter, we use simplicial complexes for construction of an infinite family of binary LCD codes and two infinite families of binary self-orthogonal codes. Moreover, we explicitly determine the weight distributions of these codes. We obtain binary LCD codes which have minimum weights two or three, and we also find some self-orthogonal codes meeting the Griesmer bound. As examples, we also present some (almost) optimal binary self-orthogonal codes and LCD distance optimal codes.

Original languageEnglish
Article number9043524
Pages (from-to)1159-1162
Number of pages4
JournalIEEE Communications Letters
Volume24
Issue number6
DOIs
StatePublished - Jun 2020

Keywords

  • LCD code
  • Simplicial complex
  • self-orthogonal code
  • weight distribution

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