2 problems

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Equality of the maximum number of sets for three and four properties
Three-versus-four-property maximum conjecture. The values in Table for $3$ properties are the same maximum as for $4$ properties.
Conjectureopencombinatorics extremal-combinatorics set-gamearXiv posted 3 days ago
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The packed-set conjecture for EvenQuads
Let an EvenQuads deck be a vector space of binary cards, and let a complete set of $2^k$ cards mean a $k$ -dimensional subspace (or its affine translate). For a set of $ell$ cards,…
Conjectureopenextremal-combinatorics finite-geometry set-gamearXiv posted 3 days ago

Equality of the maximum number of sets for three and four properties