On skew-Hadamard matrices
On skew-Hadamard matrices
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DOI：
10.1016/j.disc.2006.06.037
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发表时间：
2008-07
期刊：
影响因子：
--
通讯作者：
C. Koukouvinos;S. Stylianou
中科院分区：
文献类型：
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作者：
C. Koukouvinos;S. Stylianou
斜-Hadamard矩阵因其在构造正交设计等方面的用途而特别令人感兴趣。本文对斜Hadamard矩阵的存在性和等价性进行了综述。此外，我们还提出了一些新的52阶斜Hadamard矩阵，改进了已知的该阶斜Hadamard矩阵个数的下界。
Skew-Hadamard matrices are of special interest due to their use, among others, in constructing orthogonal designs. In this paper, we give a survey on the existence and equivalence of skew-Hadamard matrices. In addition, we present some new skew-Hadamard matrices of order 52 and improve the known lower bound on the number of the skew-Hadamard matrices of this order.