4 citations · 4 across the 8 of their papers we have counts for
14 papers
Complex generalised weighing matrices in centraliser algebras of monomial representations
Ronan Egan, Padraig Ó Catháin, Andrea Švob
An matrix with exactly non-zero entries taken from the set of complex roots of unity in each row and column satisfying is a com…
A universal theory of switching for combinatorial objects, and applications to complex Hadamard matrices
Dean Crnković, Ronan Egan, Andrea Švob
The concept of switching has arisen in several different areas within combinatorics. The act of switching usually transforms a combinatorial object into a non-isomorphic object of…
A generalisation of bent vectors for Butson Hadamard matrices
José Andrés Armario, Ronan Egan, Hadi Kharaghani +1
An complex matrix with entries in the roots of unity which satisfies is called a Butson Hadamard matrix. While a matrix with…
Centraliser algebras of monomial representations and applications in combinatorics
Santiago Barrera Acevedo, Padraig Ó Catháin, Heiko Dietrich +1
Centraliser algebras of monomial representations of finite groups may be constructed and studied using methods similar to those employed in the study of permutation groups. Guided…
Butson Hadamard matrices, bent sequences, and spherical codes
Minjia Shi, Danni Lu, Andrés Armario +3
We explore a notion of bent sequence attached to the data consisting of an Hadamard matrix of order defined over the complex roots of unity, an eigenvalue of that matr…
A survey of complex generalized weighing matrices and a construction of quantum error-correcting codes
Ronan Egan
Some combinatorial designs, such as Hadamard matrices, have been extensively researched and are familiar to readers across the spectrum of Science and Engineering. They arise in di…