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 - 1986

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Leech Lattice
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ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

A sublattice of the Leech lattice. / Miller, Edward Y.; Washburn, Sherwood.

In: Journal of Combinatorial Theory, Series A, Vol. 42, No. 1, 1986, p. 9-14.

Research output: Contribution to journalArticle

Miller, Edward Y. ; Washburn, Sherwood. / A sublattice of the Leech lattice. In: Journal of Combinatorial Theory, Series A. 1986 ; Vol. 42, No. 1. pp. 9-14.
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