On a refinement of Craig's lattices

DOI10.1016/j.jpaa.2010.09.004zbMath1228.11094OpenAlexW2139141946MaRDI QIDQ531350

André Luiz Flores, J. Carmelo Interlando, José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.09.004

zbMATH Keywords

sphere packingcenter densityCraig's lattices

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Cyclotomic extensions (11R18)

Related Items (4)

On the Mordell-Weil lattice of \(y^2=x^3+bx+t^{3^n+1}\) in characteristic 3 ⋮ Two matrix-based lattice construction techniques ⋮ On a generalization of Craig lattices ⋮ Lattices from maximal orders into quaternion algebras

Cites Work

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• Extreme forms and cyclotomy
• A cyclotomic construction for Leech's lattice
• Etude Algorithmique de Réseaux Construits avec la Forme Trace
• A FAMILY OF ASYMPTOTICALLY GOOD LATTICES HAVING A LATTICE IN EACH DIMENSION

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