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

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Authors
Rana, Vidhi
Chou, Rémi
Kwon, Hyuck M.
Advisors
Issue Date
2021
Type
Article
Keywords
Secret sharing , Information-theoretic security , Rate-limited communication , Gaussian sources
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Organizational Units
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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.

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Publisher
IEEE
Journal
Book Title
Series
IEEE Transactions on Information Theory;
PubMed ID
DOI
ISSN
0018-9448
1557-9654
EISSN