On a generalization of Craig lattices

DOI10.5802/jtnb.825zbMath1270.52023OpenAlexW2320923235MaRDI QIDQ1953836

Hao Chen

Publication date: 11 June 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/64098076b492d774f0f3df0a5cf45e32acb65d3e

zbMATH Keywords

generalized Craig lattices

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Relations with coding theory (11H71)

Uses Software

• kepler98

Cites Work

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• Laminated lattices
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• Further lattice packings in high dimensions
• Mordell-Weil Lattices and Sphere Packings
• Some ternary and quaternary codes and associated sphere packings
• Extreme forms and cyclotomy
• A cyclotomic construction for Leech's lattice
• A FAMILY OF ASYMPTOTICALLY GOOD LATTICES HAVING A LATTICE IN EACH DIMENSION
• Notes on Sphere Packings
• New sphere packings in dimensions 9-15
• The sphere packing problem

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