TY - JOUR
T1 - The generating rank of the space of short vectors in the Leech lattice mod 2
AU - Brouwer, A.E.
AU - Güven, Ç.
PY - 2012
Y1 - 2012
N2 - Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech lattice ¿, 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.
AB - Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech lattice ¿, 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.
U2 - 10.1007/s10623-012-9667-5
DO - 10.1007/s10623-012-9667-5
M3 - Article
VL - 65
SP - 107
EP - 113
JO - Designs, Codes and Cryptography
JF - Designs, Codes and Cryptography
SN - 0925-1022
IS - 1-2
ER -