The blocking number of an affine space
A short proof is given of the fact that the minimum cardinality of a subset of \(\text{AG}(k, q)\) which intersects all hyperplanes is \(k(q-1) + 1\). In case \(k = 2\) this settles a conjecture of J. Doyen. Independently \textit{R. E. Jamison} [J. Comb. Theory, Ser. A 22, 253--266 (1977; Zbl 0354.12019)] proved a more general result.
scientific article; zbMATH DE number 3580550