18 citations · 54 across the 57 of their papers we have counts for
5 papers · 2 filters
Totally isotropic subspaces of small height in quadratic spaces
Wai Kiu Chan, Lenny Fukshansky, Glenn R. Henshaw
Let be a global field or , a nonzero quadratic form on , , and a subspace of . We prove the existence of an infinite collectio…
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.…
On the geometry of cyclic lattices
Lenny Fukshansky, Xun Sun
Cyclic lattices are sublattices of that are preserved under the rotational shift operator. Cyclic lattices were introduced by D.~Micciancio and their properties were…
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…
Stability of ideal lattices from quadratic number fields
Lenny Fukshansky
We study semi-stable ideal lattices coming from real quadratic number fields. Specifically, we demonstrate infinite families of semi-stable and unstable ideal lattices of trace typ…