Bose, R. C.; Shrikhande, S. S.; Parker, E. T. Further results on the construction of mutually orthogonal latin squares and the falsity of Euler’s conjecture. (English) Zbl 0093.31905 Can. J. Math. 12, 189-203 (1960). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 ReviewsCited in 141 Documents MathOverflow Questions: Seating problem: N tables with N people at each table Keywords:statistics PDFBibTeX XMLCite \textit{R. C. Bose} et al., Can. J. Math. 12, 189--203 (1960; Zbl 0093.31905) Full Text: DOI Online Encyclopedia of Integer Sequences: Numbers n such that there exists a pair of mutually orthogonal Latin squares of order n. References: [1] Denes J, Keedwell A D. Latin Squares and their Applications. New York: Academic Press, 1974. 1-547 · Zbl 0283.05014 [2] Bose R C, Shrikhande S S, Parker E T. Further results on the construction of mutually orthogonal latin squares and the falsity of Euler’s conjectures. Can J Math, 1960, 12: 189-203 · Zbl 0093.31905 [3] Paterek T, Daki’c B, Brukner C. Mutually unbiased bases, orthogonal latin squares, and hidden-variable models. Phys Rev A, 2009, 79: 1-6 [4] Lam C W H. The search for a finite projective plane of order 10. Am Math Mon, 1991, 98: 305-318 · Zbl 0744.51011 [5] Slaney J, Fujita M, Stickel M. Automated reasoning and exhaustive search: quasigroup existence problems. Comput Math Appl, 1995, 29: 115-132 · Zbl 0827.20083 [6] Zhang J, Zhang H. SEM: a system for enumerating models. In: Proceedings of the 14th International Joint Conference on Artificial Intelligence. Burlington: Morgan Kaufmann, 1995. 298-303 [7] Colbourn C J, Dinitz J H. Handbook of Combinatorial Designs. 2nd ed. Boca Raton: Chapman & Hall / CRC, 2006. 135-211 [8] Appa G, Mourtos I, Magos D. Integrating constraint and integer programming for the OLS problem. LNCS, 2002, 2470: 17-32 [9] Appa G, This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.