What are all the best sphere packings in low dimensions?

DOI10.1007/BF02574051zbMath0844.52013MaRDI QIDQ1892417

N. J. A. Sloane, Conway, John H.

Publication date: 2 July 1995

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131369

zbMATH Keywords

low dimensionsbest sphere packingstight packings

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (10)

Dimension reduction techniques for the minimization of theta functions on lattices ⋮ From sphere packing to Fourier interpolation ⋮ Desperately searching for something ⋮ The magic of 8 and 24 ⋮ Perfect, strongly eutactic lattices are periodic extreme ⋮ Rigidity of spherical codes ⋮ Improved sphere packing lower bounds from Hurwitz lattices ⋮ Comparison of descriptive statistics for multidimensional point sets ⋮ Almost impossible \(E_8\) and Leech lattices ⋮ Notions of denseness

Cites Work

• On the enumeration of self-dual codes
• A new bound on the local density of sphere packings
• Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others
• The status of the Kepler conjecture
• The construction of perfect and extreme forms II
• Binary codes with a minimum distance of four (Corresp.)
• ON THE SPHERE PACKING PROBLEM AND THE PROOF OF KEPLER'S CONJECTURE
• Five Dimensional Non-Lattice Sphere Packings
• Six and Seven Dimensional Non-Lattice Sphere Packings
• New sphere packings in dimensions 9-15
• Sphere Packings and Error-Correcting Codes
• An Extreme Duodenary Form
• THE ARITHMETIC MINIMA OF POSITIVE QUADRATIC FORMS (I)
• The sphere packing problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: What are all the best sphere packings in low dimensions?