Secure Multiterminal Source Coding with Side Information at the Eavesdropper
Joffrey Villard, Pablo Piantanida

TL;DR
This paper investigates secure multiterminal source coding with side information at the eavesdropper, deriving bounds and optimal schemes to ensure data secrecy while satisfying distortion constraints in complex network settings.
Contribution
It introduces new bounds on the rate-distortion-equivocation region for secure source coding with multiple encoders and side information, unifying existing models and providing optimal coding schemes.
Findings
Inner and outer bounds on the rates-distortion-equivocation region are derived.
The bounds are tight for certain cases like lossless reconstruction and uncoded side information.
Application to Gaussian and binary sources demonstrates the practical relevance.
Abstract
The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously satisfying the desired requirements on the distortion level at a legitimate receiver (referred to as Bob) and the equivocation rate --average uncertainty-- at an eavesdropper (referred to as Eve). It is further assumed the presence of a (public) rate-limited link between Alice and Bob. In this setting, Eve perfectly observes the information bits sent by Alice to Bob and has also access to a correlated source which can be used as side information. A second encoder (referred to as Charlie) helps Bob in estimating Alice's source by sending a compressed version of its own correlated observation via a (private) rate-limited link, which is only observed by Bob. For…
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