In this paper, using a method of construction of $ 1 $-designs which are not necessarily symmetric, introduced by Key and Moori in [5], we determine a number of $ 1 $-designs with interesting parameters from the maximal subgroups and the conjugacy classes of the small Ree groups $ ^2G_2(q) $. The designs we obtain are invariant under the action of the groups $ ^2G_2(q) $.

中文翻译：

---

Ree群的最大子群和共轭类的设计

在本文中，由Key和Moori在[5]，我们从最大子组和小型Ree组$ ^ 2G_2（q）$的共轭类中确定了一些有趣参数的$ 1 $ -designs。我们获得的设计在组$ ^ 2G_2（q）$的作用下是不变的。