## 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
Leanne Holder
(graduate student, thesis topic).

**Partial Results:**

- 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
be determined.
- There exist several examples (given in these web pages) of non-trivial
oval blocking sets.

**Comments:**

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