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Construction of doubly diagonalized orthogonal latin squares. (English) Zbl 0263.05021


MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
Full Text: DOI

References:

[1] Bose, R. C.; Shrikhande, S. S.; Parker, F. T., Further results on the construction of mutually orthogonal latin squares and the falsity of Euler’s conjecture, Can. J. Math., 12, 189-203 (1960) · Zbl 0093.31905
[2] J. Dénes and A.D. Keedwell, Latin squares and their applications (book in preparation).; J. Dénes and A.D. Keedwell, Latin squares and their applications (book in preparation).
[3] A.J.W. Hilton, On double diagonal and cross latin squares, to appear.; A.J.W. Hilton, On double diagonal and cross latin squares, to appear. · Zbl 0277.05010
[4] Sade, A., Produit direct-singulier de quasigroupes orthogonaux et anti-abéliens, Ann. Soc. Sci. Bruxelles Ser. I, 74, 91-99 (1960) · Zbl 0100.02204
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