Nonextendibility conditions on mutually orthogonal Latin squares
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- by E. T. Parker PDF
- Proc. Amer. Math. Soc. 13 (1962), 219-221 Request permission
References
- E. T. Parker, Orthogonal latin squares, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 859–862. MR 104591, DOI 10.1073/pnas.45.6.859
- R. C. Bose, S. S. Shrikhande, and E. T. Parker, Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler’s conjecture, Canadian J. Math. 12 (1960), 189–203. MR 122729, DOI 10.4153/CJM-1960-016-5 E. T. Parker, A computer search for latin squares orthogonal to latin squares of order ten, Abstract 564-71, Notices Amer. Math. Soc. 6 (1959), 798.
- Henry B. Mann, On orthogonal Latin squares, Bull. Amer. Math. Soc. 50 (1944), 249–257. MR 10401, DOI 10.1090/S0002-9904-1944-08127-5
- R. T. Ostrowski and K. D. Van Duren, On a theorem of Mann on Latin squares, Math. Comp. 15 (1961), 293–295. MR 124228, DOI 10.1090/S0025-5718-1961-0124228-7
- Marshall Hall Jr., Correction to “Uniqueness of the projective plane with $57$ points.”, Proc. Amer. Math. Soc. 5 (1954), 994–997. MR 65179, DOI 10.1090/S0002-9939-1954-0065179-4
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 13 (1962), 219-221
- MSC: Primary 05.24
- DOI: https://doi.org/10.1090/S0002-9939-1962-0139536-6
- MathSciNet review: 0139536