Determination of weight enumerators of binary extremal self-dual [42, 21, 8] codes

Stefka Bouyuklieva, Masaaki Harada, Akihiro Munemasa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We determine the weight enumerators for which there is a binary extremal self-dual [42, 21, 8] code. In particular, the number β of the vectors of weight 5 in the shadow satisfies β ∈ {0, 1, ..., 22, 24, 26, 28, 32, 42}. We also give a classification of extremal self-dual [42, 21, 8] codes with β ∈ {24, 26, 28, 32, 42}.

Original languageEnglish
Pages (from-to)177-187
Number of pages11
JournalFinite Fields and their Applications
Volume14
Issue number1
DOIs
Publication statusPublished - 2008 Jan

Keywords

  • Binary code
  • Doubly even code
  • Extremal self-dual code
  • Shadow
  • Weight enumerator

ASJC Scopus subject areas

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

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