Extremal odd unimodular lattices in dimensions 44, 46 and 47
type: Item
instance of: scholarly article
title: Extremal odd unimodular lattices in dimensions 44, 46 and 47
zbMATH Open document ID: 1099.11033
author: Masaaki Harada
published in: Hokkaido Mathematical Journal
publication date: 2003-10-12T00:00:00Z
review text: Extremal odd unimodular lattices in dimensions 44, 46 and 47 are constructed by construction A from self-dual \({\mathbb{Z}}_6\)-codes of length 44, \({\mathbb{Z}}_4\)-codes of length 46, 47, respectively. The latter codes are obtained by considering subtracting from the extended quadratic residue \({\mathbb{Z}}_4\)-code of length 48, and the former codes are obtained by subtracting from an extremal type II \({\mathbb{Z}}_6\)-code of length 48.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 11H71
zbMATH DE Number: 1990104
zbMATH Keywords: extremal lattices
zbMATH Keywords: odd unimodular lattices
zbMATH Keywords: codes over rings
zbMATH Keywords: self-dual codes
zbMATH Keywords: extremal codes
zbMATH Keywords: quadratic residue codes
reviewed by: Kanat Abdukhalikov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1350652417
OpenAlex ID: W2091121963
DOI: 10.14492/HOKMJ/1350652417
description: scientific article; zbMATH DE number 1990104