Quaternion lattices and Venkov invariant.
type: Item
instance of: scholarly article
title: Quaternion lattices and Venkov invariant.
zbMATH Open document ID: 0797.11041
DOI: 10.1007/BF02567684
author: Renaud Coulangeon
published in: Manuscripta Mathematica
publication date: 1994-10-20T00:00:00Z
full work available at URL: https://eudml.org/doc/155914
review text: Es werden (nach J. Martinet) gerade unimodulare Gitter \(U_ n\) mit Minimalnorm 4 definiert, die eine Quaternionen-Struktur besitzen. Der von Koch und Venkov eingeführte Nachbardefekt wird für diese Gitter studiert; er ist minimal. In Dimension 32 wird das konstruierte Gitter \(U_{32}\) identifiziert mit einem bekannten Gitter, das aus einem Reed- Muller-Code konstruiert wird.
Mathematics Subject Classification ID: 11E39
Mathematics Subject Classification ID: 94B27
zbMATH DE Number: 554375
zbMATH Keywords: even unimodular quadratic lattices
zbMATH Keywords: Reed-Muller codes
reviewed by: Meinhard Peters
MaRDI profile type: Publication
cites work: Q3941610
cites work: On the enumeration of self-dual codes
cites work: Q4039784
cites work: Klassenzahlen definiter quadratischer Formen
cites work: Q4043127
cites work: An application of Siegel's formula over quaternion orders
cites work: Quaternions over \(Q(\sqrt5)\), Leech's lattice and the sporadic group of Hall-Janko
cites work: Q3313928
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description: scientific article; zbMATH DE number 554375