Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)
arXiv:0710.5799
Abstract
We show that if L is an extremal even unimodular lattice of rank 40r with r=1,2,3 then L is generated by its vectors of norms 4r and 4r+2. Our result is an extension of Ozeki's result for the case r=1.
arXiv comment5 pages. To appear, Journal de Theorie des Nombres de Bordeaux