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

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

2009-05-27

arxiv.org/abs/0905.4306v1

Proceedings of the American Mathematical Society 138(1), (2010), 105-108

Mathematics

Number Theory

3 pages

Scientific paper

10.1090/S0002-9939-09-10063-1

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.

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