Well-Rounded Lattices via Polynomials

04/06/2019

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by   Carina Alves, et al.

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Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounded if its set of minimal vectors spans the whole space. In this paper, we investigate when lattices coming from polynomials with integer coefficients are well-rounded.