The second minimum of Barnes-Wall lattices

arXiv (Cornell University)

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 $d<a<3d/2$.

Authors 1

1. Gabriele Nebe corresponding Aachen Lehrstuhl für Algebra und Zahlentheorie

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl für Algebra und Zahlentheorie , RWTH Aachen University , Germany