An optimal odd unimodular lattice in dimension 72

Masaaki Harada, Tsuyoshi Miezaki

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that if there is an extremal even unimodular lattice in dimension 72, then there is an optimal odd unimodular lattice in that dimension. Hence, the first example of an optimal odd unimodular lattice in dimension 72 is constructed from the extremal even unimodular lattice which has been recently found by G. Nebe.

Original languageEnglish
Pages (from-to)529-533
Number of pages5
JournalArchiv der Mathematik
Volume97
Issue number6
DOIs
Publication statusPublished - 2011 Dec
Externally publishedYes

Keywords

  • Odd unimodular lattice
  • Optimal unimodular lattice
  • Theta series

ASJC Scopus subject areas

  • Mathematics(all)

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