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math.NT2009
Rank 72 high minimum norm lattices
Robert L. Griess
Given a polarization of an even unimodular lattice and integer , we define a family of unimodular lattices . Of special interest are certain of rank 72…
math.NT2009
Midwest cousins of Barnes-Wall lattices
Robert L. Griess
Given a rational lattice and suitable set of linear transformations, we construct a cousin lattice. Sufficient conditions are given for integrality, evenness and unimodularity. Whe…