论文标题
一组相互矫形器的投影和仿射平面
Sets of mutually orthogoval projective and affine planes
论文作者
论文摘要
如果一个平面的每条线在最多两个点中与另一个平面的每一行相交，则一双相同顺序和同一点的播种的平面或同一点的平面是矫形器。在本文中，我们证明了针对投影和仿射的相互矫正平面集的新结构，并审查了已知的结果，这些结果等效于两个以上的近矫正平面。我们还讨论了相互矫正平面和覆盖阵列之间的联系。
A pair of planes, both projective or both affine, of the same order and on the same pointset are orthogoval if each line of one plane intersects each line of the other plane in at most two points. In this paper we prove new constructions for sets of mutually orthogoval planes, both projective and affine, and review known results that are equivalent to sets of more than two mutually orthogoval planes. We also discuss the connection between sets of mutually orthogoval planes and covering arrays.
