14 citations · 22 across the 9 of their papers we have counts for
6 papers · 1 filter
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.…
Lattices from elliptic curves over finite fields
Lenny Fukshansky, Hiren Maharaj
In their well known book Tsfasman and Vladut introduced a construction of a family of function field lattices from algebraic curves over finite fields, which have asymptotically go…
Finite field elements of high order arising from modular curves
Jessica F. Burkhart, Neil J. Calkin, Shuhong Gao +6
In this paper, we recursively construct explicit elements of provably high order in finite fields. We do this using the recursive formulas developed by Elkies to describe explicit…
Coverings of curves with asymptotically many rational points
Wen-Ching Li, Hiren Maharaj
The number A(q) is the upper limit of the ratio of the maximum number of points of a curve defined over $\Fq$ to the genus. By constructing class field towers with good parameters…