New Upper Bounds on Sphere Packings I

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New Upper Bounds on Sphere Packings I

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Title: New Upper Bounds on Sphere Packings I
Author: Cohn, Henry; Elkies, Noam

Note: Order does not necessarily reflect citation order of authors.

Citation: Cohn, Henry and Noam D. Elkies. 2003. New upper bounds on sphere packings I. Annals of Mathematics 157, no. 2: 689-714.
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Abstract: We develop an analogue for sphere packing of the linear programming bounds for error-correcting codes, and use it to prove upper bounds for the density of sphere packings, which are the best bounds known at least for dimensions 4 through 36. We conjecture that our approach can be used to solve the sphere packing problem in dimensions 8 and 24.
Published Version: http://dx.doi.org/10.4007/annals.2003.157.689
Other Sources: http://arxiv.org/abs/math/0110009
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2960190

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  • FAS Scholarly Articles [6463]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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