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

• DOI: 10.1007/s10623-012-9667-5
• Publication Date: 2012-04-08T21:27:26Z
• Authors: Andries Brouwer; Çiçek Güven
• Keywords: Hyperplane; Lattice (music); Rank (graph theory); Linear space

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