On a conjecture by Belfiore and Solé on some lattices

Details On a conjecture by Belfiore and Solé on some lattices On a conjecture by Belfiore and Solé on some lattices

2011-04-19

arxiv.org/abs/1104.3739v2

Computer Science

Information Theory

Abstract corrected, the case of a 16-dimensional lattice added, and several typos corrected

Scientific paper

The point of this note is to prove that the secrecy function attains its
maximum at y=1 on all known extremal even unimodular lattices. This is a
special case of a conjecture by Belfiore and Sol\'e. Further, we will give a
very simple method to verify or disprove the conjecture on any given unimodular
lattice.

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