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On a conjecture by Belfiore and Solé on some lattices

Published 19 Apr 2011 in cs.IT, math.IT, and math.NT | (1104.3739v2)

Abstract: 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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