14 citations · 22 across the 9 of their papers we have counts for
9 papers
On a Subset Metric
Richard Castro, Zhibin Chang, Ethan Ha +2
For a bounded metric space X, we define a metric on the set of all finite subsets of X. This generalizes the sequence-subset distance introduced by Wentu Song, Kui Cai and Kees A.…
Lattices from tight equiangular frames
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +2
We consider the set of all linear combinations with integer coefficients of the vectors of a unit tight equiangular frame and are interested in the question whether this se…
Spherical 2-designs and lattices from Abelian groups
Albrecht Boettcher, Simon Eisenbarth, Lenny Fukshansky +2
We consider lattices generated by finite Abelian groups. We prove that such a lattice is strongly eutactic, which means the normalized minimal vectors of the lattice form a spheric…
Lattices from Hermitian function fields
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
We consider the well-known Rosenbloom-Tsfasman function field lattices in the special case of Hermitian function fields. We show that in this case the resulting lattices are genera…
On lattices generated by finite Abelian groups
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields.…
Toeplitz determinants with perturbations in the corners
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners. If the norms of the…