6533b826fe1ef96bd1284fbe
RESEARCH PRODUCT
On t-covers in finite projective spaces
Albrecht Beutelspachersubject
Discrete mathematicsCollineationComplex projective spaceDuality (projective geometry)Projective spaceGeometry and TopologyProjective planeFano planeQuaternionic projective spaceUpper and lower boundsMathematicsdescription
A t-cover of the finite projective space PG(d,q) is a setS of t-dimensional subspaces such that any point of PG(d,q) is contained in at least one element ofS. In Theorem 1 a lower bound for the cardinality of a t-coverS in PG(d,q) is obtained and in Theorem 2 it is shown that this bound is best possible for all positive integers t,d and for any prime-power q.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1979-03-01 | Journal of Geometry |