On the classification of Hadamard matrices of order 32
On the classification of Hadamard matrices of order 32
复制标题
关于32阶Hadamard矩阵的分类
DOI：
10.1002/jcd.20245
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发表时间：
2010
影响因子：
0.7
通讯作者：
B. Tayfeh
中科院分区：
文献类型：
--
作者：
H. Kharaghani;B. Tayfeh
到1994年为止，已经发现了所有最多为28阶的Hadamard矩阵的等价类。32阶是在阿达玛矩阵的数量上发生组合爆炸的地方。我们找到了所有具有一定类型的32阶Hadamard矩阵的等价类。结果是，一种类型的哈达玛矩阵有13,680,757个，另一种类型的哈达玛矩阵有26,369个。根据对较小阶的Hadamard矩阵进行分类的经验，预计这些矩阵的其余两种类型的数量相对于32阶的Hadamard矩阵的总数来说是微不足道的。©2009 Wiley期刊公司[J] .建筑设计与工程，2010 (6):326 - 326
All equivalence classes of Hadamard matrices of order at most 28 have been found by 1994. Order 32 is where a combinatorial explosion occurs on the number of Hadamard matrices. We find all equivalence classes of Hadamard matrices of order 32 which are of certain types. It turns out that there are exactly 13, 680, 757 Hadamard matrices of one type and 26, 369 such matrices of another type. Based on experience with the classification of Hadamard matrices of smaller order, it is expected that the number of the remaining two types of these matrices, relative to the total number of Hadamard matrices of order 32, to be insignificant. © 2009 Wiley Periodicals, Inc. J Combin Designs 18:328–336, 2010