, Volume 65, Issue 1-2, pp 107-113,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 10 Apr 2012

The generating rank of the space of short vectors in the Leech lattice mod 2

Abstract

Consider the partial linear space on the images in Λ/2Λ of the shortest nonzero vectors in the Leech lattice Λ, where the lines are the triples of vectors adding up to zero. We determine the universal embedding dimension and the generating rank of this space (both are 24) and classify its hyperplanes.

This is one of several papers published together in Designs, Codes and Cryptography on the special topic: “Geometric and Algebraic Combinatorics”.