In this paper, we first introduce a class of linear codes which are affine-invariant. Then we obtain infinite families of 2-designs from them and determine the parameters of these 2-designs by considering the weight distribution of the linear codes.

中文翻译：

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一类仿射不变码及其支持2-设计

在本文中，我们首先介绍一类具有仿射不变性的线性码。然后我们从中获得无限的2-设计族，并通过考虑线性代码的权重分布来确定这些2-设计的参数。