论文标题
Hadamard矩阵与投影飞机有关
Hadamard matrices related to the projective planes
论文作者
论文摘要
令$ n $为(第四纪)Hadamard Matrix的顺序。结果表明,订单$ n $的投影平面的存在相当于存在$ n^2 $的订单$ n^2 $的可衡量多数(Quaternary)Hadamard矩阵。
Let $n$ be the order of a (quaternary) Hadamard matrix. It is shown that the existence of a projective plane of order $n$ is equivalent to the existence of a balancedly multi-splittable (quaternary) Hadamard matrix of order $n^2$.