arXiv:1905.09081 Abstract | arXiv Analytics

arXiv:1905.09081 [math.CO]Abstract References Reviews Resources

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

Published 2019-05-22Version 1

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.

Categories: math.CO, cs.DM

Subjects: 51E10

Keywords: steiner triple systems, transversal subdesign td, transversal subdesigns td, structural properties, isomorphism classes

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