On distances in lattices from algebraic number fields
Number Theory
2017-03-08 v1
Abstract
In this paper, we study a classical construction of lattices from number fields and obtain a series of new results about their minimum distance and other characteristics by introducing a new measure of algebraic numbers. In particular, we show that when the number fields have few complex embeddings, the minimum distances of these lattices can be computed exactly.
Cite
@article{arxiv.1703.02163,
title = {On distances in lattices from algebraic number fields},
author = {Arturas Dubickas and Min Sha and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1703.02163},
year = {2017}
}