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Glasnik matematički, Vol. 58 No. 2, 2023.

Izvorni znanstveni članak

https://doi.org/10.3336/gm.58.2.07

Bush-type Butson Hadamard matrices

Hadi Kharaghani orcid id orcid.org/0000-0003-0115-7117 ; Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada
Thomas Pender ; Department of Mathematics, University of Simon Fraser, Burnaby BC V5A 1S6, Canada
Caleb Van't Land ; Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada
Vlad Zaitsev ; Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada

Puni tekst: engleski pdf 431 Kb

str. 247-257

preuzimanja: 70

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Sažetak

Bush-type Butson Hadamard matrices are introduced. It is shown that a
nonextendable set of mutually unbiased Butson Hadamard matrices is obtained by
adding a specific Butson Hadamard matrix to a set of mutually unbiased
Bush-type Butson Hadamard matrices. A class of symmetric Bush-type Butson
Hadamard matrices over the group \(G\) of \(n\)-th roots of unity is introduced that
is also valid over any subgroup of \(G\). The case of Bush-type Butson Hadamard
matrices of even order will be discussed.

Ključne riječi

Hadamard matrix, unbiased Hadamard matrix, Bush-type Hadamard matrix

Hrčak ID:

312014

URI

https://hrcak.srce.hr/312014

Datum izdavanja:

16.8.2024.

Posjeta: 181 *

Publication date: 27 December 2023

Volume: Vol 58

Issue: Svezak 2

Pages: 247-257

DOI: 10.3336/gm.58.2.07

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: Hadamard matrix, unbiased Hadamard matrix, Bush-type Hadamard matrix

Bush-type Butson Hadamard matrices

Hadi Kharaghani[1]

Email: kharaghani@uleth.ca

Thomas Pender[2]

Email: tsp7@sfu.ca

Caleb Van't Land[3]

Email: caleb.vantland@uleth.ca

Vlad Zaitsev[4]

Email: vlad.zaitsev@uleth.ca

 

[1] Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada

[2] Department of Mathematics, University of Simon Fraser, Burnaby BC V5A 1S6, Canada

[3] Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada

[4] Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge AB T1K 3M4, Canada

Abstract

Bush-type Butson Hadamard matrices are introduced. It is shown that a nonextendable set of mutually unbiased Butson Hadamard matrices is obtained by adding a specific Butson Hadamard matrix to a set of mutually unbiased Bush-type Butson Hadamard matrices. A class of symmetric Bush-type Butson Hadamard matrices over the group \(G\) of \(n\)-th roots of unity is introduced that is also valid over any subgroup of \(G\). The case of Bush-type Butson Hadamard matrices of even order will be discussed.

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