An Optimal Unimodular Lattice in Dimension 39

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this note, we construct a 39-dimensional optimal unimodular lattice with minimum norm 4 from a Euclidean-optimal self-dual code of length 39 over ℤ4. These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual ℤ4-code of length 39 with minimum Euclidean weight 16.

Original languageEnglish
Pages (from-to)158-161
Number of pages4
JournalJournal of Combinatorial Theory. Series A
Volume88
Issue number1
DOIs
Publication statusPublished - 1999 Oct

Keywords

  • Self-dual codes over ℤ
  • Unimodular lattices

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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