A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
ADVANCES IN GEOMETRY(2020)
摘要
In this short note we prove a sharp lower bound for the second moment of a lattice Voronoi cell in terms of the respective covering radius. This gives an affirmative answer to a conjecture by Haviv, Lyuba-shevsky and Regev. We also characterize those lattice Voronoi cells for which this lower bound is attained.
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关键词
Voronoi cell,lattice,covering radius
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