The antipode construction for sphere packings |
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| Authors: | J. H. Conway N. J. A. Sloane |
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| Affiliation: | (1) Mathematics Department, Princeton University, Princeton, NJ 08544, USA, US;(2) Mathematical Sciences Research Center, AT&T Bell Laboratories, Murray Hill, NJ 07974, USA, US |
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| Abstract: | ![]()
Summary. A construction for sphere packings is introduced that is parallel to the “anticode” construction for codes. This provides a simple way to view Vardy’s recent 20-dimensional sphere packing, and also produces packings in dimensions 22, 44–47 that are denser than any previously known. Oblatum 18-VII-1994 & 7-XII-1994 |
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