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arXiv · 0710.5799

Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

Scott D. Kominers·Zachary Abel
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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.

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Scott D. Kominers, Zachary Abel. 2007-12-10. Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3). https://arxiv.org/abs/0710.5799

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