On extremal even unimodular 72-dimensional lattices
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- by Gabriele Nebe and Richard Parker PDF
- Math. Comp. 83 (2014), 1489-1494 Request permission
Abstract:
By computer search we show that the lattice $\Gamma$ of Nebe (2012) is the unique extremal even unimodular 72-dimensional lattices that can be constructed as proposed by Griess (2010).References
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Additional Information
- Gabriele Nebe
- Affiliation: Lehrstuhl D für Mathematik, RWTH Aachen university, 52056 Aachen, Germany
- MR Author ID: 344248
- Email: nebe@math.rwth-aachen.de
- Richard Parker
- Affiliation: 62 Devonshire Road, Cambridge CB1 2BL, UK
- Email: richpark54@hotmail.co.uk
- Received by editor(s): August 18, 2011
- Received by editor(s) in revised form: July 10, 2012
- Published electronically: July 16, 2013
- Additional Notes: Parker’s visit to Aachen was financed by the DFG (GRK 1632)
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 83 (2014), 1489-1494
- MSC (2010): Primary 11H06; Secondary 11H31, 11H50, 11H55, 11H56, 11H71
- DOI: https://doi.org/10.1090/S0025-5718-2013-02744-5
- MathSciNet review: 3167468