Oval (Conic) Blocking Sets
Problem: To characterize the minimal sets of points in a plane with
the property that every conic (odd characteristic) or oval/hyperoval (even
characteristic) of the plane meets the set in at least one point.
First Cited: Cherowitzo, W.,
"Monomial Flocks of Monomial Cones in Even Characteristic".
Activity: Currently being worked on by
(graduate student, thesis topic).
- In a plane of order q, the set of points on more than q + 1 - [(q+2)/2]
concurrent lines is trivially an oval blocking set.
- For planes of small order (q = 2, 3, 4) all oval blocking sets can easily
- There exist several examples (given in these web pages) of non-trivial
oval blocking sets.