Paper 2022/077

Multiple Noisy Private Remote Source Observations for Secure Function Computation

Onur Gunlu, University of Siegen
Matthieu Bloch
Rafael F. Schaefer

The problem of reliable function computation is extended by imposing privacy, secrecy, and storage constraints on a remote source whose noisy measurements are observed by multiple parties. The main additions to the classic function computation problem include 1) privacy leakage to an eavesdropper is measured with respect to the remote source rather than the transmitting terminals' observed sequences; 2) the information leakage to a fusion center with respect to the remote source is considered as another privacy leakage metric; 3) two transmitting node observations are used to compute a function. Inner and outer bounds on the rate regions are derived for lossless single-function computation with two transmitting nodes, which recover previous results in the literature, and for special cases that consider invertible functions simplified bounds are established.

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secure function computations remote source information theoretic security
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onur guenlue @ uni-siegen de
rafael schaefer @ uni-siegen de
2022-07-29: last of 3 revisions
2022-01-20: received
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      author = {Onur Gunlu and Matthieu Bloch and Rafael F.  Schaefer},
      title = {Multiple Noisy Private Remote Source Observations for Secure Function Computation},
      howpublished = {Cryptology ePrint Archive, Paper 2022/077},
      year = {2022},
      note = {\url{}},
      url = {}
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