Geodesic
A Partial Generalization of Mann's Theorem Concerning Orthogonal Latin Squares
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 409-413

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Let n = 4t +- 2, where the integer t ≧ 2. A necessary condition is given for a particular Latin square L of order n to have a complete set of n — 2 mutually orthogonal Latin squares, each orthogonal to L. This condition extends constraints due to Mann concerning the existence of a Latin square orthogonal to a given Latin square.
DOI : 10.4153/CMB-1988-059-7
Mots-clés : 05B15 
Parker, E. T.; Somer, Lawrence. A Partial Generalization of Mann's Theorem Concerning Orthogonal Latin Squares. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 409-413. doi: 10.4153/CMB-1988-059-7
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     author = {Parker, E. T. and Somer, Lawrence},
     title = {A {Partial} {Generalization} of {Mann's} {Theorem} {Concerning} {Orthogonal} {Latin} {Squares}},
     journal = {Canadian mathematical bulletin},
     pages = {409--413},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-059-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-059-7/}
}
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