The blocking number of an affine space (Q1244233)
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scientific article; zbMATH DE number 3580550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The blocking number of an affine space |
scientific article; zbMATH DE number 3580550 |
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The blocking number of an affine space (English)
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1978
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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.
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