English

On the lattices from elliptic curves over finite fields

Number Theory 2015-01-13 v3

Abstract

In this paper, we continue the recent work of Fukshansky and Maharaj on lattices from elliptic curves over finite fields. We show that there exist bases formed by minimal vectors for these lattices except only one case. We also compute their determinants, and obtain sharp bounds for the covering radius.

Keywords

Cite

@article{arxiv.1406.3086,
  title  = {On the lattices from elliptic curves over finite fields},
  author = {Min Sha},
  journal= {arXiv preprint arXiv:1406.3086},
  year   = {2015}
}