Successive Minima, Determinant and Automorphism Groups of Hyperelliptic Function Field Lattices

L Menn, E Sacikara - arXiv preprint arXiv:2411.01559, 2024 - arxiv.org
In this paper, we contribute to previously known results on lattices constructed by algebraic
function fields, or function field lattices in short. First, motivated by the non-well-roundedness …

[HTML][HTML] A note on short vectors in lattices from function fields

L Ateş, H Stichtenoth - Finite Fields and Their Applications, 2016 - Elsevier
We discuss some properties of the lattices Λ which are associated to function fields over
finite fields. In particular we are interested in the lattice vectors of minimum length in Λ and in …

On lattices from function fields

L Ateş - 2017 - research.sabanciuniv.edu
In this thesis, we study the lattices∧ p associated to a function eld F/Fq and a subset P⊆ P
(F), which are the so-called function eld lattices. We mainly explore the well-roundedness …

[PDF][PDF] Lattices from Abelian groups

L Fukshansky, SR Garcia, H Maharaj - Workshop on “Lattices and …, 2016 - cmc.edu
Lattices from Abelian groups Page 1 Function field lattices and generalization Notation
Lattices from a full group More general lattices Lattices from Abelian groups Lenny …

[引用][C] Construção de Reticulados via Corpos de Funções