It is shown that the existence of a Steiner triple system of order 19 satisfying certain very restrictive conditions would lead to the completion of a large portion of the incidence matrix of a projective plane of order 10. © 1986 Akadémiai Kiadó.
- AMS (MOS) subject classifications (1980): Primary 51E15, Secondary 05B25
- Finite projective planes
- Steiner triple systems