On the existence of complex Hadamard submatrices of the Fourier matrices
Abstract: We use a theorem of Lam and Leung to prove that a submatrix of a Fourier matrix cannot be Hadamard for particular cases when the dimension of the submatrix does not divide the dimension of the Fourier matrix. We also make some observations on the trace-spectrum relationship of dephased Hadamard matrices of low dimension.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On the existence of complex Hadamard submatrices of the Fourier matrices ; volume:52 ; number:1 ; year:2019 ; pages:1-9 ; extent:9
Demonstratio mathematica ; 52, Heft 1 (2019), 1-9 (gesamt 9)
- Creator
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Bond, Bailey Madison
Glickfield, R. Alexander
Herr, John E.
- DOI
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10.1515/dema-2019-0001
- URN
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urn:nbn:de:101:1-2411181507073.040487282881
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Bond, Bailey Madison
- Glickfield, R. Alexander
- Herr, John E.
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