论文标题
仿射矢量空间分区
Affine vector space partitions
论文作者
论文摘要
$ \ operatatorName {ag}（n，q）$的仿射矢量空间分区是一组适当的仿射子空间，可划分点集。在这里，我们确定针对小参数的仿射矢量空间分区的最小尺寸和列举等效类别。我们还为任意字段大小提供参数构造。
An affine vector space partition of $\operatorname{AG}(n,q)$ is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate equivalence classes of affine vector space partitions for small parameters. We also give parametric constructions for arbitrary field sizes.
