Complete caps in projective space which are disjoint from a subspace of codimension two
| dc.creator | Wehlau, David L. | |
| dc.date | 2004-03-02 | |
| dc.date.accessioned | 2026-07-07T05:05:50Z | |
| dc.date.available | 2026-07-07T05:05:50Z | |
| dc.description | Working over the field of order 2 we consider those complete caps (maximal sets of points with no three collinear) which are disjoint from some codimension 2 subspace of projective space. We derive restrictive conditions which such a cap must satisfy in order to be complete. Using these conditions we obtain explicit descriptions of complete caps which do not meet every hyperplane in at least 5 points. In particular, we determine the set of cardinalities of all such complete caps in all dimensions. | |
| dc.description | 13 pages. This is a corrected version of a paper that appeared in Finite Geometries, A. Blokhuis, J.W.P. Hirschfeld, D. Jungnickel and J.A. Thas, Editors, Kluwer Academic Publishing, Dordrecht, 2001, 347--361. The proof of Theorem 4.1 has been corrected as have the statements of Propositions 7.1 and 8.1 | |
| dc.identifier | https://arxiv.org/abs/math/0403031 | |
| dc.identifier | http://arxiv.org/abs/math/0403031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70319 | |
| dc.subject | Combinatorics | |
| dc.subject | 51E22 | |
| dc.title | Complete caps in projective space which are disjoint from a subspace of codimension two | |
| dc.type | text |