5 citations · 13 across the 6 of their papers we have counts for
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On the secrecy gain of -modular lattices
Esa V. Vesalainen, Anne-Maria Ernvall-Hytönen
We show that for every , there is a counterexample to the -modular secrecy function conjecture by Oggier, Solé and Belfiore. These counterexamples all satisfy the mod…
Counterexample to the -modular Belfiore-Solé Conjecture
Anne-Maria Ernvall-Hytönen, B. A. Sethuraman
We show that the secrecy function conjecture that states that the maximum of the secrecy function of an -modular lattice occurs at is false, by proving that the 4-m…
Some results related to the conjecture by Belfiore and Solé
Anne-Maria Ernvall-Hytönen
In the first part of the paper, we consider the relation between kissing number and the secrecy gain. We show that on an -dimensional even unimodular lattice, if the shor…
On a conjecture by Belfiore and Solé on some lattices
Anne-Maria Ernvall-Hytönen
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 Be…