An indexed set of density bounds on lattice packings

DOI10.1007/BF01264023zbMath0817.11033MaRDI QIDQ1345118

J. A. Rush

Publication date: 26 February 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

convex bodylattice packing density

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)

Cites Work

• A lower bound on packing density
• On the packing densities of superballs and other bodies
• A bound, and a conjecture, on the maximum lattice‐packing density of a superball
• An Introduction to the Geometry of Numbers
• An improvement to the Minkowski‐Hiawka bound for packing superballs
• Constructive packings of cross polytopes
• Thin Lattice Coverings
• On the geometry of numbers
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