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Kissing Number in 19 Dimensions

Geometry & topology · partial

1 comment

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.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    Boon Suan Ho, using GPT-5.4 Pro

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    "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.

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