Research Topics

Lattices for the Gaussian Wiretap Channel

(A common work with Frédérique Oggier and Patrick Solé)

We use the lattice coset construction with Λ_e being the coarse lattice and Λ_b being the fine lattice. Data bits label the cosets of Λ_e/Λ_b while pseudo-random bits label points in Λ_e. We have found a new lattice invariant called "Secrecy Gain" that characterizes the behavior of Λ_e in terms of physical security. Two conference papers have been published until now,

• The Secrecy Gain

• Secrecy gain of Unimodular Lattices

Physical Network Coding

• Network Coding driven by the PHY layer

Multiuser

• Lattice Coding for the Gaussian Interference Channel
• Space-Time Coding for the Multiple-Access fading Channel

Space-Time Codes

• Reduction and decoding
• Concatenation to error correcting codes
• Distributed Space-Time Codes
• Low Complexity Space-Time Codes

Relaying

• Multi-hop Amplify-and-Forward
• Relaying Protocols

Projects

• SMARTen