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arXiv · 2603.23133

The second minimum of Barnes-Wall lattices

Gabriele Nebe
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Abstract

The paper gives a recursive construction of the Barnes-Wall lattices as subdirect products. This is used to show that the Barnes-Wall lattices of minimum $d$ do not contain any vectors of norm $a$ with $d<a<3d/2$.

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Gabriele Nebe. 2026-06-21. The second minimum of Barnes-Wall lattices. https://arxiv.org/abs/2603.23133

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