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Results tagged with finite-geometry
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user 114579
Galois geometry, finite projective and affine spaces, polar spaces, partial geometries, generalized polygons, near polygons, and other finite incidence geometries.
1
vote
Dual of blocking sets in finite geometry
The trivial bound $m=q+1$ mentioned in the case where $n=2$ is actually true for all $n$ by simple counting: a set of $k$ hyperplanes contains at most $kq^{n-1}+q^{n-2}+\ldots+1$ points, since the "fi …
- 223
4
votes
Applications of small Kakeya sets over finite fields
I became interested in Kakeya sets because they have the interesting property that a Kakeya set in a projective plane cannot be a subset of a blocking set, and with the exception of the full plane wit …
- 223