In this paper, we first study a general type of affine-invariant codes and their support 2-designs. Then we derive infinite families of 2-designs from a special class of affine-invariant codes and obtain their parameters by determining the weight distribution of the linear codes.

中文翻译：

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从仿射不变代码派生的 2-设计的无限族

在本文中，我们首先研究一般类型的仿射不变代码及其支持的 2-设计。然后我们从一类特殊的仿射不变代码中推导出无限的2-设计族，并通过确定线性代码的权重分布来获得它们的参数。