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    Information-theoretic secret sharing from correlated Gaussian random variables and public communication

    Date
    2021
    Author
    Rana, Vidhi
    Chou, Rémi
    Kwon, Hyuck M.
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    Citation
    Rana, V., Chou, R. A., & Kwon, H. (2021). Information-theoretic secret sharing from correlated gaussian random variables and public communication. IEEE Transactions on Information Theory, doi:10.1109/TIT.2021.3122808
    Abstract
    Abstract—In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the secret by pooling their shares, and (ii) non-authorized sets of colluding users cannot learn any information about the secret. We assume that the dealer and participants observe the realizations of correlated Gaussian random variables and that the dealer can communicate with participants through a one-way, authenticated, rate-limited, and public channel. Unlike traditional secret sharing protocols, in our setting, no perfectly secure channel is needed between the dealer and the participants. Our main result is a closed-form characterization of the fundamental trade-off between secret rate and public communication rate.
    Description
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    URI
    https://doi.org/10.1109/TIT.2021.3122808
    https://soar.wichita.edu/handle/10057/22308
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