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The second minimum of Barnes-Wall lattices

Year: 2026
Type: preprint
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 $d<a<3d/2$.
Open Access status: green
OpenAlex ID: W7140953410
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