布什型布森哈达玛矩阵

Pub Date : 2023-12-27 DOI:10.3336/gm.58.2.07

Hadi Kharaghani, Thomas Pender, Caleb Van't Land, Vlad Zaitsev

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引用次数: 0

摘要

介绍了布什型布森哈达玛矩阵。研究表明，通过在一组互不偏倚的布什型布特森哈达玛矩阵中加入一个特定的布特森哈达玛矩阵，可以得到一组互不偏倚的布特森哈达玛矩阵的非扩展集合。我们引入了一类对称布什型布森哈达玛矩阵，该矩阵也适用于\(G\)的任何子群。将讨论偶阶布什型布森哈达玛矩阵的情况。

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Bush-type Butson Hadamard matrices

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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