English

Gaussian Secure Source Coding and Wyner's Common Information

Information Theory 2015-06-16 v2 math.IT

Abstract

We study secure source-coding with causal disclosure, under the Gaussian distribution. The optimality of Gaussian auxiliary random variables is shown in various scenarios. We explicitly characterize the tradeoff between the rates of communication and secret key. This tradeoff is the result of a mutual information optimization under Markov constraints. As a corollary, we deduce a general formula for Wyner's Common Information in the Gaussian setting.

Keywords

Cite

@article{arxiv.1506.00193,
  title  = {Gaussian Secure Source Coding and Wyner's Common Information},
  author = {Sanket Satpathy and Paul Cuff},
  journal= {arXiv preprint arXiv:1506.00193},
  year   = {2015}
}

Comments

ISIT 2015, 5 pages, uses IEEEtran.cls

R2 v1 2026-06-22T09:44:28.806Z