对称区组设计的导出空间

The Derived Spaces of Symmetric Balanced Incomplete Block Designs

本文给出对称区组设计的导出空间的概念,得到其线大小范围。分析了几类对称设计的导出空间的结构,当导出空间具有线正则性时构作一些无重复区组的区组设计。

This paper introduces the notion of the derived spaces of SBIBDs, gives the bound of the line sizes of the derived spaces, analyzes the constructions of the derived spaces of some families of SBIBDs. When the derived spaces have the line regularity, it gives the constructions of some simple BIBDs.