Kissing Number in 19 Dimensions
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Statement
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.
Context
A record lower bound; the kissing number in dimension 19 remains unknown.
Kissing numbers are among the most famous quantities of discrete geometry, with records tracked for decades across the sphere-packing literature.
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"GPT-5.4 Pro was used in the discovery of the construction and in revising the exposition." The verifying computation is a finite check with public scripts and explicit coordinates for the 11948-point configuration.
A record lower bound; the kissing number in dimension 19 remains unknown.
Reviews
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