Publication date: 27 December 2023
Volume: Vol 58
Issue: Svezak 2
Pages: 247-257
DOI: 10.3336/gm.58.2.07
Izvorni znanstveni članak
https://doi.org/10.3336/gm.58.2.07
Bush-type Butson Hadamard matrices
Hadi Kharaghani
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
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.
Hadamard matrix, unbiased Hadamard matrix, Bush-type Hadamard matrix
312014
16.8.2024.
Posjeta: 181 *