Extremal odd unimodular lattices in dimensions 44, 46 and 47

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Abstract

In this note, extremal odd unimodular lattices in dimensions 44, 46 and 47 are constructed from self-dual codes over Z4 and Z6 by Construction A. The lattices in dimensions 46 and 47 seem to be the first explicit examples for such lattices.

Original languageEnglish
Pages (from-to)153-159
Number of pages7
JournalHokkaido Mathematical Journal
Volume32
Issue number1
DOIs
Publication statusPublished - 2003

Keywords

  • Construction A
  • Self-dual codes
  • Unimodular lattices

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