Combinatorics Seminar 2015

Speaker: Patrick Solé, CNRS/LTCI Telecom ParisTech

Date: Fri, Sep 11, 2015

Time: 16:30 - 17:30

Venue: Middle Meeting Room

Title: The secrecy gain of unimodular lattices


Motivated by physical layer security (Gaussian wiretap channel model) the secrecy ratio of a lattice is introduced as the quotient of its theta function to the theta function of the integer lattice. We conjecture based on empirical evidence (Belfiore-Sole' conjecture) that it meets an absolute maximum in $z=i.$ We survey partial results by several authors in that direction.