Some extremal self-dual codes and unimodular lattices in dimension 40

Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.

Original languageEnglish
Pages (from-to)67-83
Number of pages17
JournalFinite Fields and their Applications
Volume21
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Self-dual code
  • Shadow
  • Singly even code
  • Unimodular lattice

ASJC Scopus subject areas

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

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