Optimal self-dual Z 4-codes and a unimodular lattice in dimension 41

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1 Citation (Scopus)

Abstract

For lengths up to 47 except 37, we determine the largest minimum Euclidean weight among all Type I Z 4-codes of that length. We also give the first example of an optimal odd unimodular lattice in dimension 41 explicitly, which is constructed from some Type I Z 4-code of length 41.

Original languageEnglish
Pages (from-to)529-536
Number of pages8
JournalFinite Fields and their Applications
Volume18
Issue number3
DOIs
Publication statusPublished - 2012 May

Keywords

  • Doubly even code
  • Extremal code
  • Self-dual code
  • Unimodular lattice

ASJC Scopus subject areas

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

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