论文标题
$ ag（n，q）$的广义上限尺寸的范围改善了界限
Improved bounds on sizes of generalized caps in $AG(n,q)$
论文作者
论文摘要
$ M $ - $ AG（n，Q）$中的$ M $ - 一组是一组点，以使任何尺寸$ m $的子集都处于一般位置。 $ 3 $ - 一般的套件通常称为Capset。在本文中，我们研究了$ ag（n，q）$的$ m $ $ $ $ $ $ $ $ - 总尺寸，从而大大改善了先前的结果。当$ m = 4 $和$ q = 2 $时，我们给出了一个准确的估计，解决了贝内特提出的问题。
An $m$-general set in $AG(n,q)$ is a set of points such that any subset of size $m$ is in general position. A $3$-general set is often called a capset. In this paper, we study the maximum size of an $m$-general set in $AG(n,q)$, significantly improving previous results. When $m=4$ and $q=2$ we give a precise estimate, solving a problem raised by Bennett.
