A Fisher type inequality for weighted regular t-wise balanced designs

A Fisher type inequality for weighted regular t-wise balanced designs
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DOI:
10.1016/j.jcta.2012.04.008
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发表时间:
2012-10
期刊:
J. Comb. Theory A
影响因子:
--
通讯作者:
Ziqing Xiang
Ziqing Xiang
中科院分区:
其他
文献类型:
--
作者:
Ziqing Xiang

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Delsarte and Seidel found that the dimension of a certain linear space can serve as a Fisher type lower bound for the size of a weighted regular t-wise balanced design. They put it as a problem to explicitly determine this dimension. This note calculates the rank of a special set inclusion matrix and then solves the above problem.