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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

$ 284\,457$ Steiner triple systems of order $ 19$ contain a subsystem of order $ 9$


Authors: D. R. Stinson and E. Seah
Journal: Math. Comp. 46 (1986), 717-729
MSC: Primary 05B07; Secondary 20B25
MathSciNet review: 829642
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Abstract: In this paper, we enumerate the (nonisomorphic) Steiner triple systems of order 19 which contain a subsystem of order 9. The number of these designs is precisely 284457. We also determine which of these designs also contain at least one subsystem of order 7, and how many. Exactly 13529 of them contain at least one subsystem of order 7.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1986-0829642-7
PII: S 0025-5718(1986)0829642-7
Article copyright: © Copyright 1986 American Mathematical Society