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Circulant matrices with orthogonal rows and off-diagonal entries of absolute value 1

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Publication:2236370
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DOI10.2478/cm-2021-0005zbMath1478.15042arXiv1910.00586OpenAlexW3160456368MaRDI QIDQ2236370

Zuzana Václavíková, Ondřej Turek, Dardo Goyeneche, Daniel Uzcátegui Contreras

Publication date: 22 October 2021

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00586


zbMATH Keywords

Hadamard matrixcirculant matrixorthogonal matrixmutually unbiased base


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Boolean and Hadamard matrices (15B34)




Cites Work

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  • Small circulant complex Hadamard matrices of Butson type
  • A new proof for the existence of mutually unbiased bases
  • A generalization of circulant Hadamard and conference matrices
  • A Construction for Perfect Periodic Autocorrelation Sequences
  • Tight informationally complete quantum measurements
  • Trace, Symmetry and Orthogonality
  • Polyphase codes with good periodic correlation properties (Corresp.)


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