On inequivalent Hadamard matrices of order 44

被引：0

作者：

Georgiou, S ^{[1
]}

Koukouvinos, C ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece

来源：

ARS COMBINATORIA | 2004年 / 70卷

关键词：

Hadamard matrices; circulant matrices; algorithm; Hamming distance; symmetric Hamming distance; inequivalence; Goethals-Seidel array; self-dual codes;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct many Hadamard matrices of order 44 and we use a new efficient algorithm to investigate the lower bound of inequivalent Hadamard matrices of order 44. Using four (1, -1) circulant matrices of order 11 in the Goethals - Seidel array we obtain many new Hadamard matrices of order 44 and we show that there are at least 6018 inequivalent Hadamard matrices for this order. Moreover, we use a known method to investigate the existence of double even self-dual codes [88, 44, d] over GF(2) constructed from these Hadamard matrices.

引用

页码：169 / 181

页数：13

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