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arxiv: 1904.03510 · v1 · pith:2TWO4O3Pnew · submitted 2019-04-06 · 💻 cs.IT · math.IT

Well-Rounded Lattices via Polynomials

classification 💻 cs.IT math.IT
keywords well-roundedlatticespolynomialsspaceapplicationsbeencalledchannels
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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.

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