Paper 2018/875 Original: eprint.iacr.org/2018/875 ↗

Oblivious Transfer in Incomplete Networks

Varun Narayanan
Vinod M. Prabhakaran
Abstract

Secure message transmission and Byzantine agreement have been studied extensively in incomplete networks. However, information theoretically secure multiparty computation (MPC) in incomplete networks is less well understood. In this paper, we characterize the conditions under which a pair of parties can compute oblivious transfer (OT) information theoretically securely against a general adversary structure in an incomplete network of reliable, private channels. We provide characterizations for both semi-honest and malicious models. A consequence of our results is a complete characterization of networks in which a given subset of parties can compute any functionality securely with respect to an adversary structure in the semi-honest case and a partial characterization in the malicious case.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2020-09-12: last updated
2018-09-23: published
Short URL
https://ia.cr/2018/875
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/875,
      author = {Varun Narayanan and Vinod M.  Prabhakaran},
      title = {Oblivious Transfer in Incomplete Networks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/875},
      year = {2018},
      url = {https://eprint.iacr.org/2018/875}
}
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