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On a Conjecture by Belfiore and Solé on Some Lattices

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1 Author(s)
Ernvall-Hytonen, A. ; Department of Mathematics and Statistics, University of Helsinki, 00014 Helsinki, Finland

The point of this paper is to show that the secrecy function attains its maximum at $y=1$ on all known extremal unimodular lattices and on some possibly existing even extremal unimodular lattices. This is a special case of a conjecture by Belfiore and Solé. Furthermore, we will give a very simple method to verify or disprove the conjecture on any given unimodular lattice.

Published in:

Information Theory, IEEE Transactions on  (Volume:58 ,  Issue: 9 )

Date of Publication:

Sept. 2012

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