Document Zbl 0772.05011

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Using subspaces of finite vector space to construct PBIB designs with several associative classes. (Chinese) Zbl 0772.05011

Chin. Ann. Math., Ser. A 13, No. 5, 532-541 (1992).

This paper discusses the construction of PBIB designs with \(s+1\) \((1\leq s\leq n-2)\) associative classes using the set of 1-dimensional subspaces outside of a subspace chain with length \(s\) of the \(n\)-dimensional vector space and calculates their parameters.

Reviewer: Xie Shenquan (Xiangtan)

MSC:

05B05	Combinatorial aspects of block designs
51E05	General block designs in finite geometry

Keywords:

PBIB design; associative classes; subspaces; vector space

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