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.