An Example of the Non-Uniqueness of the L_5(10) Association Scheme
Citation：
Liu Zhangwen.An Example of the Non-Uniqueness of the L_5(10) Association Scheme[J].Chinese Annals of Mathematics B,1983,4(3):355~356
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Authors：
Liu Zhangwen;
Abstract：
It is known from Bose and Shimamoto^[1] that the existence of a Latin square type L_5(10) association scheme with parameters v=100, n_1=45,p_11^1=20,and p_11^2=20 presupposes the existence of a set of three mutually orthogonal Latin squares of order 10. But as yet we have not known whether such a set of orthogonal Latin squares exists.
In this note the author gives an association scheme with the above parameters which is not an L_5(10) association scheme.
