论文标题
来自旧施主系统通过参数化
New Steiner systems from old ones by paramodifications
论文作者
论文摘要
从旧结构产生新组合结构的技术通常称为交易。开关原理适用于广泛的设计：这是一个局部变换，可修改入射矩阵的两列。在本文中，我们提出了一种结构，这是Steiner 2设计类的开关转换的概括。我们称这种施工二级设计的构造参数化，因为它修改了子系统的并行性。我们更详细地研究了仿射平面，施泰纳三重系统和抽象单元的参数。计算结果表明，参数化可以构建许多新的单元。
Techniques of producing new combinatorial structures from old ones are commonly called trades. The switching principle applies for a broad class of designs: it is a local transformation that modifies two columns of the incidence matrix. In this paper, we present a construction, which is a generalization of the switching transform for the class of Steiner 2-designs. We call this construction paramodification of Steiner 2-designs, since it modifies the parallelism of a subsystem. We study in more detail the paramodifications of affine planes, Steiner triple systems, and abstract unitals. Computational results show that paramodification can construct many new unitals.
