论文标题
子空间设计的存在
The existence of subspace designs
论文作者
论文摘要
我们证明了具有任何给定参数的子空间设计的存在，前提是在设计的其他参数方面，基础空间的尺寸足够大，并且满足了明显的必要的分裂条件。从1970年代开始解决一个空旷的问题。此外，我们还获得了此类设计数量的近似公式。
We prove the existence of subspace designs with any given parameters, provided that the dimension of the underlying space is sufficiently large in terms of the other parameters of the design and satisfies the obvious necessary divisibility conditions. This settles an open problem from the 1970s. Moreover, we also obtain an approximate formula for the number of such designs.
