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2026-10-22 issue

Observed arrival · 2026-10-22

Antoine Olivier’s AI-assisted coding-theory results

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An independent researcher documents computational results in spherical and constant-weight binary codes, linking them to public record tables and proof material.

Landing page captured for the 2026-10-22 issue.
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Coding-theory and discrete-geometry researchers
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Two independent programs, in Python and PARI/GP, check the spherical-code cosine bounds using exact integer arithmetic.

Field notes

To check the spherical-code values, the researcher scales coordinates by 2^52, rounds them to integers, then uses separate Python and PARI/GP programs to verify the maximum cosine bound in exact integer arithmetic. Eight cases begin from entries the cited table marked for further optimization; two others start from codes with one extra point, then remove a point. The page explicitly distinguishes these computational records from proofs of optimality and dates its table checks to 20 October 2026.

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