2 citations · 3 across the 10 of their papers we have counts for
6 papers · 1 filter
Constructing, Classifying and Studying the Space of Small Integer Weighing Matrices
Assaf Goldberger, Radel Ben-Av, Giora Dula +1
Integer weighing matrices (IW-matrices for short) are integer valued orthogonal square matrices. One usecase of these is to create classical weighing matrices with various block st…
Abelian and Dihedral equiangular tight frames of redundancy
Radel Ben Av, Xuemei Chen, Assaf Goldberger +1
This paper studies group frames (-frames) where the unitary group representation can be projective. When the group is abelian, for most combinations , we show that $ETF(N,…
An algorithm for constructing and classifying the space of small integer weighing matrices
Radel Ben-Av, Giora Dula, Assaf Goldberger +1
In this paper we describe an algorithm for generating all the possible - integer Weighing matrices of weight up to Hadamard equivalence. Our method is…
Phase transitions for frame potentials]{Phase transitions for the minimizers of the frame potentials in
Radel Ben Av, Xuemei Chen, Assaf Goldberger +2
Given points on the unit circle in and a number we investigate the minimizers of the functional $\sum_{k, \ell =1}^N |\…
Formal Orthogonal Pairs via Monomial Representations and Cohomology
Assaf Goldberger, Ilias Kotsireas
A Formal Orthogonal Pair is a pair of symbolic rectangular matrices such that . It can be applied for the construction of Hadamard and Weighing matrices. In this pa…
On the finite geometry of
Assaf Goldberger
We study the local geometry of the zero pattern of a weighing matrix . The geometry consists of lines and points where each line contains points. The incide…