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A remark on Latin squares and block designs

Published online by Cambridge University Press:  09 April 2009

W. D. Wallis
W. D. Wallis
Affiliation:
Mathematics Department University of NewcastleNew South Wales
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Throughout this paper any matrix is square and of order q unless otherwise specified. I and J will represent an identity matrix and a square matrix with every element + 1 respectively; if necessary, the size will be indicated by a subscript. The Kronecker product of matrices A = (aij) and B is the block matrix whose (i, j)-th block is aijB, and is written A x B.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 2 , March 1972 , pp. 205 - 207
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Parker, E. T., ‘Construction of some sets of mutually orthogonal Lalin squares’, Proc. Amer. Math. Soc. 10, (1959), 946–949.Google Scholar
[2]Ryser, H. J., Combinatorial Mathematics (Carus Monograph 14, M.A.A. 1963).CrossRefGoogle Scholar
[3]Wallis, Jennifer, ‘Some results on configurations’, Journal Australian Math. Soc. 12 (1971), 378–384.Google Scholar