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Well-rounded lattices via polynomials with real roots

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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 the well-roundedness of lattices coming from polynomials with integer coefficients and real roots.

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English

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International Journal of Applied Mathematics, v. 33, n. 4, p. 663-672, 2020.

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