Publication: Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80
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Date
2010
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American Mathematical Society
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Elkies, Noam, and Scott Kominers. 2010. Refined configuration results for extremal type II lattices of ranks 40 and 80. Proceedings of the American Mathematical Society 138(1): 105-108.
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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Type II lattice, extremal lattice, weighted theta function, spherical design, configuration result
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