A sublattice of the Leech lattice
type: Item
instance of: scholarly article
title: A sublattice of the Leech lattice
zbMATH Open document ID: 0593.10026
DOI: 10.1016/0097-3165(86)90003-8
author: E. Y. Miller
author: Sherwood Washburn
published in: Journal of Combinatorial Theory. Series A
publication date: 1986-01-01T00:00:00Z
review text: A sublattice of the Leech lattice \(\Lambda_{24}\) is of type n if each vector in it has squared length at least 2n. \(\Lambda_{24}\) is its own maximal type 2 sublattice, and it is not hard to show that there is a maximal type 4 sublattice of the form \(2(E_ 8\oplus E_ 8\oplus E_ 8)\). In the present paper the authors construct a maximal type 3 sublattice using properties of the binary and ternary Golay codes.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 52C07
Mathematics Subject Classification ID: 94B40
zbMATH DE Number: 3952868
zbMATH Keywords: sublattice
zbMATH Keywords: Leech lattice
zbMATH Keywords: Golay codes
MaRDI profile type: Publication
full work available at URL: 0097-3165(86)90003-8
OpenAlex ID: W2065210966
cites work: Q3863891
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cites work: Binary Views of Ternary Codes
description: scientific article; zbMATH DE number 3952868