The blocking number of an affine space
type: Item
instance of: scholarly article
title: The blocking number of an affine space
zbMATH Open document ID: 0373.05020
DOI: 10.1016/0097-3165(78)90013-4
published in: Journal of Combinatorial Theory. Series A
publication date: 1978-01-01T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/7438
review text: 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.
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 3580550
author: Andries E. Brouwer
author: Alexander Schrijver
MaRDI profile type: Publication
OpenAlex ID: W2135384757
Wikidata QID: Q60306531
cites work: Q4128613
cites work: Covering finite fields with cosets of subspaces
DBLP publication ID: journals/jct/BrouwerS78
description: scientific article; zbMATH DE number 3580550