Construction of some unimodular lattices with long shadows

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Abstract

In this paper, we construct odd unimodular lattices in dimensions n = 36,37 having minimum norm 3 and 4s = n-16, where s is the minimum norm of the shadow. We also construct odd unimodular lattices in dimensions n = 41,43,44 having minimum norm 4 and 4s = n-24.

Original languageEnglish
Pages (from-to)1345-1358
Number of pages14
JournalInternational Journal of Number Theory
Volume7
Issue number5
DOIs
Publication statusPublished - 2011 Aug 1
Externally publishedYes

Keywords

  • Unimodular lattice
  • self-dual code
  • shadow

ASJC Scopus subject areas

  • Algebra and Number Theory

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