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Gaussian Secure Source Coding and Wyner's Common Information

2015/05/31 by Sanket Satpathy, Satpathy, Sanket, Paul Cuff +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Chaos-based Image/Signal Encryption #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1506.00193

ISIT 2015, 5 pages, uses IEEEtran.cls

openalex publication_date 2015/05/31 · arxiv created 2015/06/14 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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