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

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

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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.
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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 \(min(L)+2\).
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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  • FAS Scholarly Articles [6948]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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