Minima of odd unimodular lattices in dimension \(24m\)
type: Item
instance of: scholarly article
title: Minima of odd unimodular lattices in dimension \(24m\)
zbMATH Open document ID: 0995.11041
author: Mark Gaulter
published in: Journal of Number Theory
publication date: 2002-08-25T00:00:00Z
review text: The following theorem is proved: Suppose that \(L\) is a unimodular \(\mathbb{Z}\)-lattice in dimension \(n=24k\). Suppose further that the minimum \(\mu(L)= 2k+2\). Then \(L\) must be an even lattice. Since Rains and Sloane showed \(\mu(L)\leq 2k+2\), this gives new bounds for odd unimodular lattices in dimension \(24k\).
Mathematics Subject Classification ID: 11H50
Mathematics Subject Classification ID: 11H55
Mathematics Subject Classification ID: 11E12
zbMATH DE Number: 1787788
zbMATH Keywords: unimodular lattices
zbMATH Keywords: minima of lattices
Wikidata QID: Q114234190
reviewed by: Meinhard Peters
MaRDI profile type: Publication
full work available at URL: jnth.2001.2670
OpenAlex ID: W1966955058
cites work: Q3250680
cites work: Q4039784
cites work: Upper bounds for modular forms, lattices, and codes
cites work: The shadow theory of modular and unimodular lattices
cites work: Q3844537
DOI: 10.1006/JNTH.2001.2670
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description: scientific article; zbMATH DE number 1787788