In this paper Butson-type complex Hadamard matrices $\mathrm {BH}(n, q) $ of order $ n $
over the complex $ q $ th roots of unity are classified for small parameters by computer …

12 A survey of group invariant Butson matrices and their relation to generalized bent functions
and various other objects Page 1 Bernhard Schmidt 12 A survey of group invariant Butson …

We classify all the cocyclic Butson Hadamard matrices BH (n, p) of order n over the p th roots
of unity for an odd prime p and np≤ 100. That is, we compile a list of matrices such that any …

Let K be a finite abelian group and let exp⁡(K) denote the least common multiple of the
orders of the elements of K. A BH (K, h) matrix is a K-invariant| K|×| K| matrix H whose entries …

Characterizing the 6× 6 complex Hadamard matrices (CHMs) is an open problem in linear
algebra and quantum information. We name the 6× 6 CHMs except the H 2-reducible …

A complex Hadamard matrix is a square matrix H∈ MN (C) whose entries are on the unit
circle,| Hij|= 1, and whose rows and pairwise orthogonal. The main example is the Fourier …

Characterizing the $6\times 6$ complex Hadamard matrices (CHMs) is an open problem in
linear algebra and quantum information. In this paper, we investigate the eigenvalues and …

Complex Hadamard matrices (CHMs) are intimately related to the number of distinct matrix
elements. We investigate CHMs containing exactly three distinct elements, which is also the …

An $ n\times n $ complex matrix $ M $ with entries in the $ k^{\textrm {th}} $ roots of unity
which satisfies $ MM^{\ast}= nI_ {n} $ is called a Butson Hadamard matrix. While a matrix …

An Hadamard matrix is a square matrix $ H\in M_N (\pm1) $ whose rows and pairwise
orthogonal. More generally, we can talk about the complex Hadamard matrices, which are …