＜正＞ It is known from Bose and Shimamoto that the existence of a Latin square typeL5（10）association scheme with parameters v=100,n1=45,p11~1=20,and p11~2=20 presupposesthe existence of a set of three mutually orthogonal Latin squares of order 10.But as yet wehave 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 isnot an L5（10）association scheme.
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