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H-2-reducible complex Hadamard matrices of order 6
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
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
Abstract [en]

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.
Keyword [en]
Complex Hadamard matrix, Six dimensions
National Category
URN: urn:nbn:se:uu:diva-139390DOI: 10.1016/j.laa.2010.08.021ISI: 000284724500021OAI: oai:DiVA.org:uu-139390DiVA: diva2:381309
Available from: 2010-12-27 Created: 2010-12-23 Last updated: 2010-12-27Bibliographically approved

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Linear Algebra and its Applications

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