\(\mathbb Z_{6}\)-code constructions of the Leech lattice and the Niemeier lattices.
type: Item
instance of: scholarly article
title: \(\mathbb Z_{6}\)-code constructions of the Leech lattice and the Niemeier lattices.
zbMATH Open document ID: 1047.11066
author: Masaaki Harada
author: Masaaki Kitazume
published in: European Journal of Combinatorics
publication date: 2003-03-18T00:00:00Z
review text: A self-dual code over \(\mathbb Z_{2k}\) is said to be of type II if all its words have Euclidean weight divisible by \(4k\). The authors consider the case \(k=3\) and construct such codes with length 24 and (extremal) minimal norm 24, by using an arbitrary type II binary self-dual code and an extremal ternary self-dual code of length 24. Also connections with the Leech lattice and with the Niemeier lattices are discussed.
Mathematics Subject Classification ID: 11H71
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1884145
zbMATH Keywords: extremal code
zbMATH Keywords: Leech lattice
zbMATH Keywords: Niemeier lattice
reviewed by: Heinz-Georg Quebbemann
MaRDI profile type: Publication
full work available at URL: eujc.2002.0557
OpenAlex ID: W2016079553
cites work: Q4004114
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cites work: Q4219187
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cites work: Self-dual codes over rings and the Chinese remainder theorem
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cites work: Q4242010
DOI: 10.1006/EUJC.2002.0557
description: scientific article; zbMATH DE number 1884145