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




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Designs, Codes and Cryptography

, Volume 65, Issue 1–2, pp 107–113

First Online: 10 April 2012Received: 06 July 2011Revised: 19 March 2012Accepted: 22 March 2012

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.

KeywordsLeech lattice Universal embedding dimension Generating rank Golay code This is one of several papers published together in Designs, Codes and Cryptography on the special topic: -Geometric and Algebraic Combinatorics-.

Mathematics Subject Classification05B25 11H31 51E26  Download to read the full article text



Author: Andries Brouwer - Çiçek Güven

Source: https://link.springer.com/







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