A Skew Hadamard Matrix of Order 52

A Skew Hadamard Matrix of Order 52
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52 阶偏哈达玛矩阵

DOI:
10.4153/cjm-1969-144-2
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发表时间:
1969
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
G. Szekeres
G. Szekeres
中科院分区:
--
文献类型:
--
作者:
D. Blatt;G. Szekeres

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1。n级的Hadamard(H-)矩阵H =(HIJ)是N×N方形矩阵,满足了所有i,j n n a skew h-matrix的条件。我是身份矩阵和s'the the the the the the of 5。尤其是,偏斜的h-矩阵在有限的投射平面理论中具有应用(2)和锦标赛(4),也可以在建造某些订单的H-矩阵中例如。
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)).