A Partial Generalization of Mann's Theorem Concerning Orthogonal Latin Squares
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 409-413
Voir la notice de l'article provenant de la source Cambridge University Press
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.
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
@article{10_4153_CMB_1988_059_7,
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/}
}
TY - JOUR AU - Parker, E. T. AU - Somer, Lawrence TI - A Partial Generalization of Mann's Theorem Concerning Orthogonal Latin Squares JO - Canadian mathematical bulletin PY - 1988 SP - 409 EP - 413 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-059-7/ DO - 10.4153/CMB-1988-059-7 ID - 10_4153_CMB_1988_059_7 ER -
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