New sphere packings in dimensions 9-15

DOI10.1090/S0002-9904-1970-12533-2zbMath0198.55103OpenAlexW1988932673MaRDI QIDQ5595708

N. J. A. Sloane, John Leech

Publication date: 1970

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1970-12533-2

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (13)

What are all the best sphere packings in low dimensions? ⋮ A new sphere packing in 20 dimensions ⋮ Algebraic theory of block codes detecting independent errors ⋮ Sphere packings constructed from BCH and Justesen codes ⋮ On a generalization of Craig lattices ⋮ Dense lattice packings of spheres in Euclidean spaces of dimension \(n\leq 16\) ⋮ Perfect, strongly eutactic lattices are periodic extreme ⋮ Codes over GF(4) and complex lattices ⋮ A survey of constructive coding theory, and a table of binary codes of highest known rate ⋮ Density doubling, double-circulants, and new sphere packings ⋮ Sphere packing ⋮ Combinatorial geometry ⋮ Further lattice packings in high dimensions

Cites Work

• The construction of perfect and extreme forms II
• On Quadruple Systems
• Some Sphere Packings in Higher Space
• Five Dimensional Non-Lattice Sphere Packings
• Notes on Sphere Packings
• Six and Seven Dimensional Non-Lattice Sphere Packings
• New family of single-error correcting codes
• Sphere Packings and Error-Correcting Codes
• An Extreme Duodenary Form
• THE ARITHMETIC MINIMA OF POSITIVE QUADRATIC FORMS (I)

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