A Skew Hadamard Matrix of Order 52
A Skew Hadamard Matrix of Order 52
复制标题
52 阶偏哈达玛矩阵
DOI:
10.4153/cjm-1969-144-2
复制
发表时间:
1969
期刊:
影响因子:
--
通讯作者:
G. Szekeres
中科院分区:
文献类型:
--
作者:
D. Blatt;G. Szekeres
1. A Hadamard (H-) matrix H = (hij) of order n is an n × n square matrix satisfying the conditions for all i, j ≦ n. A skew H-matrix is an H-matrix of the form where I is the identity matrix and S’ the transpose of 5. In particular, Skew H-matrices have applications in the theory of finite projective planes (2) and tournaments (4), also in the construction of H-matrices of certain orders. For example, if there is a skew H-matrix of order n, then there is an H-matrix of order n(n – 1) (Williamson, see (1, p. 213)).