On a refinement of Craig's lattices
type: Item
instance of: scholarly article
title: On a refinement of Craig's lattices
zbMATH Open document ID: 1228.11094
author: André Luiz Flores
author: J. Carmelo Interlando
author: Trajano Pires da Nóbrega Neto
author: José Othon Dantas Lopes
published in: Journal of Pure and Applied Algebra
publication date: 2011-04-29T00:00:00Z
review text: Let \(p\) be an odd prime number, \(\zeta\) a primitive \(p\)-th root of unity. The authors construct a family of lattices \(\{{\mathcal T}_p\}\), working in the cyclotomic field \({\mathbb Q}(\zeta)\). For \(p\geq 59\) the center density of the \((p-1)\)-dimensional lattice \(\{{\mathcal T}_p\}\) is at least twice that of the \((p-1)\)-dimensional Craig lattice.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11H31
Mathematics Subject Classification ID: 11R18
zbMATH DE Number: 5882433
zbMATH Keywords: sphere packing
zbMATH Keywords: center density
zbMATH Keywords: Craig's lattices
MaRDI profile type: Publication
full work available at URL: j.jpaa.2010.09.004
OpenAlex ID: W2139141946
cites work: Etude Algorithmique de Réseaux Construits avec la Forme Trace
cites work: Q4219187
cites work: Extreme forms and cyclotomy
cites work: A cyclotomic construction for Leech's lattice
cites work: A FAMILY OF ASYMPTOTICALLY GOOD LATTICES HAVING A LATTICE IN EACH DIMENSION
cites work: Q4256356
DOI: 10.1016/J.JPAA.2010.09.004
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description: scientific article; zbMATH DE number 5882433