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math.CO2022
Blocking subspaces with points and hyperplanes
Sam Adriaensen, Maarten De Boeck, Lins Denaux
In this paper, we characterise the smallest sets consisting of points and hyperplanes in , such that each -space is incident with at least one element of …
math.CO2022
Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order
Maarten De Boeck, Geertrui Van de Voorde
The minimum weight of the code generated by the incidence matrix of points versus lines in a projective plane has been known for over 50 years. Surprisingly, finding the minimum we…