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对称区组设计的导出空间
引用本文:张胜元.对称区组设计的导出空间[J].福建师范大学学报(自然科学版),1993,9(1):13-16.
作者姓名:张胜元
作者单位:福建师范大学数学系
摘    要: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。

关 键 词:区组设计  对称区组设计  导出空间

The Derived Spaces of Symmetric Balanced Incomplete Block Designs
Zhang Shengyuan.The Derived Spaces of Symmetric Balanced Incomplete Block Designs[J].Journal of Fujian Teachers University(Natural Science),1993,9(1):13-16.
Authors:Zhang Shengyuan
Institution:Zhang Shengyuan Department of Mathematics
Abstract: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.
Keywords:balanced incomplete block design  symmetrie balanced incomplete block design  linear space  line-regularity  derived space
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