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· arXiv 2211.04329

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$(r,s)$-sets from Desarguesian ovoids

math.CO · 2026-05-21 · unverdicted · novelty 5.0

Trivial upper bounds on (n,n-2)-sets in PG(n,q) for n=4,5,6 and related cases are shown to be essentially sharp, with a (3,2)-set of size (q^6-1)/(q-1) constructed in PG(13,q) from Desarguesian ovoids.

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  • $(r,s)$-sets from Desarguesian ovoids math.CO · 2026-05-21 · unverdicted · none · ref 14

    Trivial upper bounds on (n,n-2)-sets in PG(n,q) for n=4,5,6 and related cases are shown to be essentially sharp, with a (3,2)-set of size (q^6-1)/(q-1) constructed in PG(13,q) from Desarguesian ovoids.