40 citations · 130 across the 11 of their papers we have counts for
15 papers
Sets of equiangular lines in dimension constructed from
Akihiro Munemasa, Ferenc Szöllősi, Kiyoto Yoshino
In 2023, Greaves, Syatriadi, and Yatsyna found a set of equiangular lines in , breaking the previous record. In 2025, Lin, Munemasa, Taniguchi, and Yoshino co…
A complex Hadamard matrix of order 94
Ferenc Szöllősi
In this paper we modify a fundamental block construction of Kharaghani and Seberry and show how to use certain circulant -matrices of odd order to construct a complex…
The two-distance sets in dimension four
Ferenc Szöllősi
A finite set of distinct vectors in the -dimensional Euclidean space is called a -distance set, if the set of mutual distances between distinct e…
Constructions of maximum few-distance sets in Euclidean spaces
Ferenc Szöllősi, Patric R. J. Östergård
A finite set of distinct vectors in the -dimensional Euclidean space is called an -distance set if the set of mutual distances between distinct e…
A remark on a construction of D.S. Asche
Ferenc Szöllősi
It is shown that a classical construction of D.S. Asche of 72 equiangular lines in the 19 dimensional Euclidean space contains a subset of 54 equiangular lines embedded in an 18 di…
Enumeration of Seidel matrices
Ferenc Szöllősi, Patric R. J. Östergård
In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order . Based on this Seidel matrices with exact…
All complex equiangular tight frames in dimension 3
Ferenc Szöllősi
In this paper we describe some new algebraic features of the Gram matrices of complex Equiangular Tight Frames (ETF). This lead on the one hand to the nonexistence of several low d…
A note on the existence of BH(19,6) matrices
Ferenc Szöllősi
In this note we utilize a non-trivial block approach due to M. Petrescu to exhibit a Butson-type complex Hadamard matrix of order 19, composed of sixth roots of unity.
On quaternary complex Hadamard matrices of small orders
Ferenc Szöllősi
One of the main goals of design theory is to classify, characterize and count various combinatorial objects with some prescribed properties. In most cases, however, one quickly enc…
Construction, classification and parametrization of complex Hadamard matrices
Ferenc Szöllősi
The intended purpose of this work is to provide the reader with a comprehensive, state-of-the art presentation of the theory of complex Hadamard matrices, or at least report on the…
Complex Hadamard matrices and Equiangular Tight Frames
Ferenc Szöllősi
In this paper we give a new construction of parametric families of complex Hadamard matrices of square orders, and connect them to equiangular tight frames. The results presented h…
Complex Hadamard matrices of order 6: a four-parameter family
Ferenc Szöllősi
In this paper we construct a new, previously unknown four-parameter family of complex Hadamard matrices of order 6, the entries of which are described by algebraic functions of roo…
Exotic complex Hadamard matrices, and their equivalence
Ferenc Szöllősi
In this paper we use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Ha…
A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids
Ferenc Szöllősi
Constructions of Hadamard matrices from smaller blocks is a well-known technique in the theory of real Hadamard matrices: tensoring Hadamard matrices and the classical arrays of Wi…
A further look into combinatorial orthogonality
Simone Severini, Ferenc Szöllősi
Strongly quadrangular matrices have been introduced in the study of the combinatorial properties of unitary matrices. It is known that if a (0, 1)-matrix supports a unitary then it…