| AN EXAMPLE OF THE NON-UNIQUENESS OF THE L_5(10) ASSOCIATION SCHEME |
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| 作者姓名： | Liu Zhangwen |
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| 摘 要： | It is known from Bose and Shimamoto that the existence of a Latin square typeL_5(10)association scheme with parameters v=100,n_1=45,p_(11)~1=20,and p_(11)~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 L_5(10)association scheme.
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| 收稿时间： | 1981/11/9 0:00:00 |
An Example of the Non-Uniqueness of the L_5(10) Association Scheme |
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| Liu Zhangwen.AN EXAMPLE OF THE NON-UNIQUENESS OF THE L_5(10) ASSOCIATION SCHEME[J].Chinese Annals of Mathematics,Series B,1983,4(3):355-356. |
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| Authors: | Liu Zhangwen |
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| Institution: | Institute of Applied Mathematics, Academia Sinica |
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| 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. |
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