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arXiv · 0905.4306

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

Noam D. Elkies·Scott D. Kominers
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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.

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Noam D. Elkies, Scott D. Kominers. 2009-05-27. Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80. https://doi.org/10.1090/s0002-9939-09-10063-1

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