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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

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