On the packing densities of superballs and other bodies

DOI10.1007/BF01232282zbMath0736.52008WikidataQ105870417 ScholiaQ105870417MaRDI QIDQ1177421

J. A. Rush, Andrew M. Odlyzko, Noam D. Elkies

Publication date: 26 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143927

zbMATH Keywords

\(\ell_ p\)-ballscentrally symmetric convex bodies in \({\mathbb{R}}^ d\)lattice-packing densityMinkowski-Hlawka bound

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items

An indexed set of density bounds on lattice packings, Compositions of sums of absolute powers, Constructive packings of cross polytopes, New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry, Lattice packings of cross‐polytopes from Reed–Solomon codes and Sidon sets, On the chromatic number of with an arbitrary norm, On the chromatic numbers corresponding to exponentially Ramsey sets, A Note on Lattice Packings via Lattice Refinements, Analytical properties of generalized Gaussian distributions, Lattice packing of nearly-euclidean balls in spaces of even dimension, On the lattice Hadwiger number of superballs and some other bodies, Explicit Tauberian estimates for functions with positive coefficients, The chromatic number of \(\mathbb R^n\) with a set of forbidden distances, Exponential improvements for superball packing upper bounds, Hardness of bounded distance decoding on lattices in lp norms, Kissing Numbers and Transference Theorems from Generalized Tail Bounds, A bound, and a conjecture, on the maximum lattice‐packing density of a superball

Cites Work

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