On a problem of K. A. Bush concerning Hadamard matrices
On a problem of K. A. Bush concerning Hadamard matrices
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关于K. A. Bush关于Hadamard矩阵的一个问题
DOI：
10.1017/s0004972700044592
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发表时间：
1972
影响因子：
0.7
通讯作者：
W. Wallis
中科院分区：
文献类型：
--
作者：
W. Wallis
K.A.布什曾经问过是否存在一个对称的阿达玛矩阵，它的阶数为m2，m为偶数，可以被划分成一个由m × m个块组成的m × m阵列，使得：（i）每个对角块的元素都是1;（ii）每个非对角块的行和都是0？我们给出了两种构造这种矩阵的方法。
K.A. Bush has asked whether there is a symmetric Hadamard matrix of order m2, m even, which can be partitioned into an m × m array of m × m blocks, such that: (i) each diagonal block has every entry 1; (ii) each non-diagonal block has every row-sum zero? We give two ways of constructing such matrices.