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arXiv · 1707.03809

A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell

Alexander Magazinov
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Abstract

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, Lyubashevsky and Regev. We also characterize those lattice Voronoi cells for which this lower bound is attained.

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Alexander Magazinov. 2017-07-12. A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell. https://arxiv.org/abs/1707.03809

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