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

Noam D. Elkies; Scott Duke Kominers

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Article | Proceedings of the American Mathematical Society

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

by Noam D. Elkies and Scott Duke Kominers

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.

Keywords: Mathematical Methods;

Format: Print

4 pages

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Citation:

Elkies, Noam D., and Scott Duke Kominers. "Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80." Proceedings of the American Mathematical Society 138, no. 1 (January 2010): 105–108.

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Scott Duke Kominers

MBA Class of 1960 Associate Professor of Business Administration

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

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