Determination of Steiner triple systems of order $15$
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- by Marshall Hall and J. D. Swift PDF
- Math. Comp. 9 (1955), 146-152 Request permission
References
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It has been known since 1859 that this necessary condition is also sufficient for the existence of a Steiner triple system. M. Reiss, “Ueber eine Steinersche combinatorische Aufgabe,” J. Reine Angew. Math., v. 56, 1859, p. 326-344.
A. S. White, F. N. Cole, & Louise D. Cummings, Complete Classification of Triad Systems on Fifteen Elements, Memoirs of the National Academy of Sciences, v. XIV, 1925, Second Memoir, 89 p.
C. Tompkins, “Machine attacks whose variables are permutations,” Amer. Math. Soc. Sixth Symposium on Applied Math. Proceedings, McGraw-Hill (in press).
- R. A. Fisher, An examination of the different possible solutions of a problem in incomplete blocks, Ann. Eugenics 10 (1940), 52–75. MR 2086, DOI 10.1111/j.1469-1809.1940.tb02237.x
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Math. Comp. 9 (1955), 146-152
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0025-5718-1955-0080104-7
- MathSciNet review: 0080104