The Steiner triple systems of order 21 with a transversal subdesign TD(3,6)

Published 22 May 2019 in math.CO and cs.DM | (1905.09081v2)

Abstract: We prove several structural properties of Steiner triple systems (STS) of order 3w+3 that include one or more transversal subdesigns TD(3,w). Using an exhaustive search, we find that there are 2004720 isomorphism classes of STS(21) including a subdesign TD(3,6), or, equivalently, a 6-by-6 latin square.

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