Private Key and Decoder Side Information for Secure and Private Source Coding

Author:

Günlü OnurORCID,Schaefer Rafael F.ORCID,Boche HolgerORCID,Poor Harold VincentORCID

Abstract

We extend the problem of secure source coding by considering a remote source whose noisy measurements are correlated random variables used for secure source reconstruction. The main additions to the problem are as follows: (1) all terminals noncausally observe a noisy measurement of the remote source; (2) a private key is available to all legitimate terminals; (3) the public communication link between the encoder and decoder is rate-limited; and (4) the secrecy leakage to the eavesdropper is measured with respect to the encoder input, whereas the privacy leakage is measured with respect to the remote source. Exact rate regions are characterized for a lossy source coding problem with a private key, remote source, and decoder side information under security, privacy, communication, and distortion constraints. By replacing the distortion constraint with a reliability constraint, we obtain the exact rate region for the lossless case as well. Furthermore, the lossy rate region for scalar discrete-time Gaussian sources and measurement channels is established. An achievable lossy rate region that can be numerically computed is also provided for binary-input multiple additive discrete-time Gaussian noise measurement channels.

Funder

Swedish Government

Federal Ministry of Education and Research

German Research Foundation (DFG) within Germany’s Excellence Strategy

National Science Foundation

Publisher

MDPI AG

Subject

General Physics and Astronomy

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1. Strong Converses for Memoryless Bi-Static ISAC;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

2. Information Theoretic Methods for Future Communication Systems;Entropy;2023-02-21

3. Key Agreement Using Physical Identifiers for Degraded and Less Noisy Authentication Channels;IEEE Transactions on Information Forensics and Security;2023

4. Private Key and Decoder Side Information for Secure and Private Source Coding;Entropy;2022-11-24

5. Secure and Private Source Coding with Private Key and Decoder Side Information;2022 IEEE Information Theory Workshop (ITW);2022-11-01

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