Steiner triple systems of order 19 associated with a certain type of projective plane of order 10
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.
AMS (MOS) subject classifications (1980)Primary 51E15 Secondary 05B25
Key words and phrasesFinite projective planes Steiner triple systems
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