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

作者：Xiang, Ziqing^*

来源：Journal of Combinatorial Theory - Series A, 2012, 119(7): 1523-1527.

DOI：10.1016/j.jcta.2012.04.008

• Gaussian elimination
• Rank
• Set inclusion matrix
• Totally positive matrix

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.

• 出版日期2012-10
• 单位上海交通大学