A sublattice of the Leech lattice

Edward Y. Miller, Sherwood Washburn

Research output: Contribution to journalArticle

Abstract

In this paper a rank 12 even lattice C is constructed which is type 3 (if v ε{lunate} C then (v, v) ≥ 6), and which has the following maximality property: C ⊕ C + 3 · Λ24 can be embedded in the Leech lattice Λ24, and is a maximal type 3 sublattice of Λ24. The construction uses properties of the binary and ternary Golay codes.

Original languageEnglish (US)
Pages (from-to)9-14
Number of pages6
JournalJournal of Combinatorial Theory, Series A
Volume42
Issue number1
DOIs
StatePublished - May 1986

ASJC Scopus subject areas

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

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