In [12], A. Pasini and S. Yoshiara studied the distance regular graphs constructed from the Yoshiara dual hyperovals. In this note, we prove that the incidence graphs of the semibiplanes constructed from dimensional dual hyperovals are distance regular graphs if the dual hyperovals are doubly dual hyperovals (DDHOs). This generalizes the result in [12].

中文翻译：

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二维双椭圆形的距离正则图

在[12]中，A。Pasini和S. Yoshiara研究了由Yoshiara对偶超椭圆构成的距离正则图。在本说明中，我们证明了如果双超卵形是双双超卵形（DDHO），则由尺寸双超卵形构造的半双翼飞机的入射图是距离正则图。这将结果推广到[12]。