The generating rank of the space of short vectors in the Leech lattice mod 2
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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
Mathematics Subject Classification05B25 11H31 51E26
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- Martin W.J.: http://users.wpi.edu/~martin/RESEARCH/QPOL/. Accessed 19 March 2012.