Cryptography, Security and Privacy
Topics in Privacy and Cryptography

Secret Key Generation From Vector Gaussian Sources With Public and Private Communications

Yinfei Xu, Daming Cao

Date & Time

01:00 am – 01:00 am


In this paper, we consider the problem of secret key generation with one-way communication through both a ratelimited public channel and a rate-limited secure channels where the public channel is from Alice to Bob and Eve and the secure channel is from Alice to Bob. In this model, we do not pose any constraints on the sources, i.e. Bob is not degraded to or less noisy than Eve. We obtain the optimal secret key rate in this problem, for the vector Gaussian sources setting. The characterization is derived by suitably applying the enhancement argument, and Proving a new extremal inequality. The extremal inequality can be seen as coupling of two extremal inequalities, which are related to the degraded compound MIMO Gaussian broadcast channel, and the vector generalization of Costa’s entropy power inequality, accordingly.


Yinfei Xu

Southeast University

Daming Cao

National University of Singapore

Session Chair

Yuval Kochman

Hebrew University of Jerusalem