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

 Title: Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80 Author: Kominers, Scott; Elkies, Noam David Note: Order does not necessarily reflect citation order of authors. Citation: 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. Full Text & Related Files: 0905.4306v1.pdf (101.4Kb; PDF) 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 $$min(L)+2$$. Published Version: doi://10.1090/S0002-9939-09-10063-1 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:5351639

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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University