Extremal self-dual [40, 20, 8] codes with covering radius 7

Masaaki Harada, Akihiro Munemasa, Kenichiro Tanabe

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We construct new extremal self-dual [40, 20, 8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n + 2 in an extremal doubly even self-dual code of length 24n + 16 such that the coset has no vector of weight 4n + 4 form a 1-design.

Original languageEnglish
Pages (from-to)183-197
Number of pages15
JournalFinite Fields and their Applications
Volume10
Issue number2
DOIs
Publication statusPublished - 2004 Apr

Keywords

  • Covering radius
  • Extremal self-dual code
  • Harmonic weight enumerator and neighbor

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

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