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math.CO2026
A combinatorial approach to point-flat incidences over finite fields
Ben Lund, Tao Zhang
We establish new bounds for incidences between a point set P and a family L of n-flats in PG(n+d,q). For fixed dimensions, our bound on the incidence discrepancy has an explicit pi…
math.CO2026
Two-sided linear hashing and quadratic density bounds for smooth lattice coverings
Ben Lund
We study random linear projections of a finite-field subset for which every fiber has cardinality close to its mean. We bound the mean fiber size needed to ensure that all fibers s…