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 [t9, t, t81] 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 =
get the example Gordon [Royle] and I found with a group of order 40.
There is a
group of order q + 1 acting regularly on the set, so it only gives one
It looks as though the full group will be cyclic q + 1 semidirect cyclic
where q = ph, p prime, for q > 11. The construction is not
but rather in (GF(q2),GF(q2),GF(q)) coordinates.