In this paper, we construct directed strongly regular graphs with new parameters by using partial sum families with local rings. 16 families of new directed strongly regular graphs are obtained and the uniform partial sum families are given. Based on the cyclotomic numbers of finite fields, we present two infinite families of directed strongly regular Cayley graphs from semi-direct products of groups.

中文翻译：

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有向强正则图的两种构造

在本文中，我们通过使用具有局部环的部分和族来构造具有新参数的有向强正则图。得到了16族新的有向强正则图，并给出了统一的偏和族。基于有限域的分圆数，我们从群的半直积中给出了两个无穷大族有向强正则凯莱图。