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On the Nonexistence of Orthogonal Steiner Systems of Order 9

Published online by Cambridge University Press:  20 November 2018

R. C. Mullin  and
E. Nemeth
R. C. Mullin
Affiliation:
University of Waterloo, Waterloo, Ontario
E. Nemeth
Affiliation:
Florida Atlantic University, Boca Raton, Florida
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Abstract.

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It is shown that no pair of orthogonal Steiner triple systems of order 9 exists.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 1 , March 1970 , pp. 131 - 134
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Mullin, R. C. and Nemeth, E., On furnishing Room squares, Canad. Math. Bull. (4) 12 (1969), 493-497.Google Scholar
2. O'Shaughnessy, C. D., A Room design of order 14, Canad. Math. Bull. (2) 11, (1968), 191-194.Google Scholar
3. Stanton, R. G. and Horton, J. D., Composition of Room squares, (to appear).Google Scholar
4. Stanton, R. G. and Mullin, R. C., Construction of Room squares, Ann. Math. Stat. 39 (1968), 1540-48.Google Scholar