Construction of new extremal unimodular lattices
type: Item
instance of: scholarly article
title: Construction of new extremal unimodular lattices
zbMATH Open document ID: 1075.11050
author: Philippe Gaborit
published in: European Journal of Combinatorics
publication date: 2004-08-06T00:00:00Z
review text: The author constructs new extremal and optimal unimodular lattices in dimensions 36, 38, 42, 45, 52, 54, 60 and 68, using self-dual codes over \(\text{GF}(3)\), \(\text{GF}(5)\) and \(\mathbb Z/25\mathbb Z\). The complete weight enumerator of the extended ternary quadratic residue code of length 60 is computed.
Mathematics Subject Classification ID: 11H71
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 11H06
zbMATH DE Number: 2082047
zbMATH Keywords: extremal unimodular lattices
zbMATH Keywords: optimal unimodular lattices
zbMATH Keywords: self-dual codes
reviewed by: Kanat Abdukhalikov
MaRDI profile type: Publication
full work available at URL: j.ejc.2003.07.005
OpenAlex ID: W2073531109
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DOI: 10.1016/J.EJC.2003.07.005
description: scientific article; zbMATH DE number 2082047