Kissing Number in 19 Dimensions
Prior state unknown→proved
A record lower bound; the kissing number in dimension 19 remains unknown.
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geometry-topology / Sphere packings
Kissing Number in 19 Dimensions
The kissing number in 19 dimensions is at least 11948, improving the Cohn-Li bound by 256, via a binary code of length 19 and minimum distance 5 fed through the Cohn-Li odd-sign construction.
25Significance / 100
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The kissing number in 19 dimensions is at least 11948, improving the Cohn-Li bound by 256, via a binary code of length 19 and minimum distance 5 fed through the Cohn-Li odd-sign construction.
A record lower bound; the kissing number in dimension 19 remains unknown.
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