5 citations · 13 across the 6 of their papers we have counts for
6 papers
Euler's divergent series in arithmetic progressions
Anne-Maria Ernvall-Hytönen, Tapani Matala-aho, Louna Seppälä
Let and be integers satisfying and . We show that for any given integers and , , there are reduced residue classes modulo…
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…
A short note on the kissing number of the lattice in Gaussian wiretap coding
Anne-Maria Ernvall-Hytönen
We show that on an -dimensional even unimodular lattice, if the shortest vector length is , then as the number of vectors of length decreases, the secrecy g…
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…