paper

Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80

arXiv:0905.4306 · doi:10.1090/S0002-9939-09-10063-1

Abstract

We show that, if L is an extremal Type II lattice of rank 40 or 80, then L is generated by its vectors of norm min(L)+2. This sharpens earlier results of Ozeki, and the second author and Abel, which showed that such lattices L are generated by their vectors of norms min(L) and min(L)+2.

arXiv comment3 pages