The classification of Boolean degree \(1\) functions in high-dimensional finite vector spaces
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Publication:6658177
DOI10.1090/proc/16957MaRDI QIDQ6658177
Publication date: 8 January 2025
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Association schemes, strongly regular graphs (05E30) Boolean functions (06E30) Combinatorial structures in finite projective spaces (51E20)
Cites Work
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- A new family of tight sets in \(\mathcal Q^+(5,q)\)
- Cameron-Liebler line classes in \(PG(n,4)\)
- Recent results in partition (Ramsey) theory for finite lattices
- The construction of Cameron-Liebler line classes in \(PG(3,q)\)
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- Boolean functions whose Fourier transform is concentrated on the first two levels.
- Cameron-Liebler sets of \(k\)-spaces in \(\mathrm{PG}(n,q)\)
- Cameron-Liebler line classes with parameter \(x = \frac{ ( q + 1 )^2}{ 3} \)
- Cameron-Liebler \(k\)-sets in subspaces and non-existence conditions
- Boolean constant degree functions on the slice are juntas
- Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\)
- Cameron-Liebler line classes in \(\mathrm{PG}(3,4)\)
- Ramsey's theorem for a class of categories
- Junta threshold for low degree Boolean functions on the slice
- The non-existence of Cameron–Liebler line classes with parameter 2 <x≤q
- Friedgut--Kalai--Naor theorem for slices of the Boolean cube
- Cameron‐Liebler line classes in PG(3, 5)
- Intersecting families of permutations
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