由实根多项式构成的圆角格

International journal of pure and applied mathematics Pub Date : 2020-08-31 DOI:10.12732/ijam.v33i4.10

C. Alves, W.L.S. Pinto, A. A. Andrade

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引用次数: 1

摘要

圆角格已成为近年来在窃听信道和密码学中应用的研究课题。欧几里得空间中的满秩格，如果它的最小向量的集合能张成整个空间，则称其为圆整格。本文研究了整数系数实根多项式的格的圆整性。AMS学科分类:11H31, 11H06, 11H71

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WELL-ROUNDED LATTICES VIA POLYNOMIALS WITH REAL ROOTS

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. AMS Subject Classification: 11H31, 11H06, 11H71

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International journal of pure and applied mathematics

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