Secure Cooperative Source-Coding With Side Information at the Eavesdropper

• Published in: IEEE transactions on information theory Vol. 62; no. 8; pp. 4544 - 4558
• Main Author: Bross, Shraga I.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channels; Coders; Codes; Cooperation; cooperative transmission; Correlation; Correlation analysis; Decoders; Decoding; Distortion; Electronic eavesdropping; Encoders; Information theory; Loss measurement; Measurement uncertainty; Messages; Secure multi-terminal source coding; Source coding; Uncertainty
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2016.2572727

In the secure cooperative source-coding problem that we consider, Encoder 1 and Decoder 1 observe, respectively, a pair of independent identically distributed (i.i.d.) correlated sources and wish to communicate the first source to Decoder 2 subject to a distortion constraint. Encoder 1 sends a message to both the decoders over a public nonsecure channel, and then Decoder 1-the helper-sends a message just to Decoder 2 over a secure channel. An eavesdropper, which has access to memoryless side-information that is correlated with the first source, intercepts the message sent by Encoder 1 and based on both wishes to minimize its uncertainty about the first source. The secrecy measure of the system is the equivocation of the first source at the eavesdropper. We determine the rates equivocation region for this problem assuming that conditioned on the side-information of Decoder 1 the eavesdropper's side-information is independent of the first source. To that end, we derive an inner and an outer bound that depend explicitly on the proportional rate that Encoder 1 spends in the cooperation process. Subsequently, we evaluate this region for the case of a doubly symmetric binary source and Hamming distortion.