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arXiv · 1703.02163

On distances in lattices from algebraic number fields

Arturas Dubickas·Min Sha·Igor E. Shparlinski
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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.

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Arturas Dubickas, Min Sha, Igor E. Shparlinski. 2017-03-07. On distances in lattices from algebraic number fields. https://arxiv.org/abs/1703.02163

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