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On equidistributed directions in finite affine planes
Sam Adriaensen, Bence Csajbók, Zsuzsa Weiner
We investigate a recently introduced generalisation of determined directions in affine planes. A direction in an affine plane is a point of the line at infinity in the projec…
Balanced intersection size distributions in finite geometries and vector spaces
Zoltán Lóránt Nagy, Zsuzsa Weiner
We study intersection size distributions arising in finite geometries and vector spaces. For a projective plane of order with line set , we show that \[ \min_…
A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets
Philipp Heering, Klaus Metsch, Vladislav Taranchuk +1
Let be a symmetric -design and let be an equinumerous incidence-free pair, with and …
A note on short minimal codes from subgeometries
Sam Adriaensen, Peter Sziklai, Zsuzsa Weiner
In a 2022, Bartoli, Cossidente, Marino, and Pavese proved that in the projective space , one can find three -subgeometries such that the union of thei…
Multisets with few special directions and small weight codewords in Desarguesian planes
Sam Adriaensen, Tamás Szőnyi, Zsuzsa Weiner
In this paper, we tie together two well studied topics related to finite Desarguesian affine and projective planes. The first topic concerns directions determined by a set, or even…
Points below a parabola in affine planes of prime order
Sam Adriaensen, Zsuzsa Weiner
The elements of a finite field of prime order canonically correspond to the integers in an interval. This induces an ordering on the elements of the field. Using this ordering, Kis…