H-2-reducible complex Hadamard matrices of order 6
2011 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 434, no 1, 239-246 p.Article in journal (Refereed) Published
Complex Hadamard matrices H of order 6 are characterized in a novel manner, according to the presence/absence of order 2 Hadamard submatrices. It is shown that if there exists one such submatrix. H is equivalent to a Hadamard matrix where all the nine submatrices are Hadamard. The ensuing subset of H-2-reducible complex Hadamard matrices is more general than might be thought, and, significantly, includes all the up till now described (one- and two-parameter) families of order 6. A known, isolated matrix, and most numerically generated matrices, fall outside the subset.
Place, publisher, year, edition, pages
2011. Vol. 434, no 1, 239-246 p.
Complex Hadamard matrix, Six dimensions
IdentifiersURN: urn:nbn:se:uu:diva-139390DOI: 10.1016/j.laa.2010.08.021ISI: 000284724500021OAI: oai:DiVA.org:uu-139390DiVA: diva2:381309