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Results tagged with finite-geometry
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user 2954
Galois geometry, finite projective and affine spaces, polar spaces, partial geometries, generalized polygons, near polygons, and other finite incidence geometries.
7
votes
Blocking sets in three dimensional finite affine spaces
Here is a slightly better lower bound. If there are fewer than $2q^2$ points then there is some line that hits the set at most once. Consider the $q+1$ planes containing a line containing one point. T …
- 28k
3
votes
Accepted
An upper bound on the number of sets of parallel lines covering points in a finite plane?
If a set $S$ is evenly covered by lines in $n$ slopes, then $n \le |S|-1$ because through every point $p$, there are at most $|S|-1$ lines connecting $p$ to other points in the set, and any other slop …
- 28k