Hadamard Matrices with Cocyclic Core

被引:2
|
作者
Alvarez, Victor [1 ]
Armario, Jose Andres [1 ]
Frau, Maria Dolores [1 ]
Gudiel, Felix [1 ]
Guemes, Maria Belen [2 ]
Osuna, Amparo [1 ]
机构
[1] Univ Seville, Dept Appl Math 1, Seville 41004, Spain
[2] Univ Seville, Dept Algebra, Seville 41004, Spain
关键词
Hadamard matrix; circulant matrix; cocyclic matrix; difference set;
D O I
10.3390/math9080857
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) Hadamard matrices. Ten years later, the series of papers by Kotsireas, Koukouvinos and Seberry about Hadamard matrices with one or two circulant cores introduced a different structured approach to the Hadamard conjecture. This paper is built on both strengths, so that Hadamard matrices with cocyclic cores are introduced and studied. They are proved to strictly include usual Hadamard matrices with one and two circulant cores, and therefore provide a wiser uniform approach to a structured Hadamard conjecture.
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页数:14
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