对一个老构造的新认识：从可分解的2-设计构造（简单）3-设计
A new look at an old construction: constructing (simple) 3-designs from resolvable 2-designs
摘要：
在1963年，Shrikhande和Raghavarao发表了一个递归设计构造，从一个可解析设计（“主设计”）开始，然后使用第二个设计（“索引设计”）在主设计的每个并行类中取某些块的并集。不同的作者研究了这种结构的几种变体。我们重新审视这个构造，集中在主设计是可解析的BIBD和索引设计是3-设计的情况下。我们表明，这种结构在某些情况下产生3-设计。得到的3-设计具有区组大小k = v/2，并且它们是可分解的。我们也用这种方法构造了一些以前未知的简单设计。
英文摘要：
In 1963, Shrikhande and Raghavarao published a recursive construction for designs that starts with a resolvable design (the "master design") and then uses a second design (the "indexing design") to take certain unions of blocks in each parallel class of the master design. Several variations of this construction have been studied by different authors. We revisit this construction, concentrating on the case where the master design is a resolvable BIBD and the indexing design is a 3-design. We show that this construction yields a 3-design under certain circumstances. The resulting 3-designs have block size k = v/2 and they are resolvable. We also construct some previously unknown simple designs by this method.
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