A Room Design of Order 14
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 191-194
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A Room design of order 2n, where n is a positive integer, is an arrangement of 2n objects in a square array of side 2n - 1, such that each of the (2n - 1)2 cells of the array is either empty or contains exactly two distinct objects; each of the 2n objects appears exactly once in each row and column; and each (unordered) pair of objects occurs in exactly one cell. A Room design of order 2n is said to be cyclic if the entries in the (i + l) th row are obtained by moving the entries in the i th row one column to the right (with entries in the (2n - l)th column being moved to the first column), and increasing the entries in each occupied cell by l(mod 2n - 1), except that the digit 0 remains unchanged.
O'Shaughnessy, C D. A Room Design of Order 14. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 191-194. doi: 10.4153/CMB-1968-021-0
@article{10_4153_CMB_1968_021_0,
author = {O'Shaughnessy, C D.},
title = {A {Room} {Design} of {Order} 14},
journal = {Canadian mathematical bulletin},
pages = {191--194},
year = {1968},
volume = {11},
number = {2},
doi = {10.4153/CMB-1968-021-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-021-0/}
}
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