## Recent Results

In this section, we intend to record new results as they become known to us. The format of this section will change when the present listing becomes unwieldly.

(4/27/98) In a preprint that has now been circulating for several months (former title, A Sporadic Semifield Flock ... but this has been changed), **Bader, Lunardon** and **Pinneri** have constructed a semi-field type flock of a quadratic cone in PG(3, 243) from the translation ovoid of Q(4, 243) found, using a computer, by **Penttila** and **Williams**.

This flock is weakly equivalent to [t^{9}, t, t^{81}] in our notation.
(05/13/98) Tim **Penttila** wrote: "There is a new infinte family
of BLT-sets for q congruent to plus or minus 1 modulo 10.
For q = 11, you get the DeClerck-Herssens-Thas example. For q =
19 you
get the example Gordon [Royle] and I found with a group of order 40.
There is a
cyclic
group of order q + 1 acting regularly on the set, so it only gives one
flock.
It looks as though the full group will be cyclic q + 1 semidirect cyclic
2h,
where q = p^{h}, p prime, for q > 11. The construction is not
in the
standard model,
but rather in (GF(q^{2}),GF(q^{2}),GF(q)) coordinates.