二階投影平面架構能提供最好的群試設計----對七物件及最多兩感染物而論

Abstract

我們證明一個由二階投影平面的關係矩陣，刪去一列所得到大小為6乘以7的二元矩陣其分離性為二。我們同時證明不存在分離性為二，行數小於七，列數小於六的二元矩陣。

We prove that the matrix obtained by deleting a row of the incidence matrix of the projective plane of order 2 is 2-separable. We also prove that there is no 2-separable s×t matrix with s< t< 7.