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Special Orthogonal Latin Squares of Order 10

Published online by Cambridge University Press:  20 November 2018

Louis Weisner
Louis Weisner*
Affiliation:
University of New Brunswick
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The orthogonal latin squares displayed in [1] and [2] have the property that their row permutations are transformed amongst themselves by a permutation of order 7. In this note I present three examples of orthogonal latin squares of order 10 whose row permutations are transformed amongst themselves by a permutation of order 9.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 1 , January 1963 , pp. 61 - 63
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Parker, E. T., Orthogonal latin squares, Proc. Nat. Acad. Sci. 45(1959), 859-862.10.1073/pnas.45.6.859Google Scholar
2. Bose, R. C., Shrikhande, S. S. and Parker, E. T., Farther results on the construction of mutually orthogonal latin squares and the falsity of Euler's conjecture, Canadian Journal Math. 12(1960), 189-203.10.4153/CJM-1960-016-5Google Scholar