Round-Optimal Secure Multiparty Computation with Honest Majority

@article{Ananth2018RoundOptimalSM,
  title={Round-Optimal Secure Multiparty Computation with Honest Majority},
  author={Prabhanjan Vijendra Ananth and Arka Rai Choudhuri and Aarushi Goel and Abhishek Jain},
  journal={IACR Cryptol. ePrint Arch.},
  year={2018},
  volume={2018},
  pages={572}
}
We study the exact round complexity of secure multiparty computation (MPC) in the honest majority setting. We construct several round-optimal n-party protocols, tolerating any \(t<\frac{n}{2}\) corruptions. 
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References

SHOWING 1-10 OF 33 REFERENCES
Secure Computation with Minimal Interaction, Revisited
TLDR
This work revisits the question of MPC with only two rounds of interaction and considers a minimal setting in which parties can communicate over secure point-to-point channels and where no broadcast channel or other form of setup is available.
Multiparty unconditionally secure protocols
TLDR
It is shown that any reasonable multiparty protocol can be achieved if at least 2n/3 of the participants are honest and the secrecy achieved is unconditional.
Constant-Round Multiparty Computation Using a Black-Box Pseudorandom Generator
TLDR
A constant-round protocol for general secure multiparty computation which makes a black-box use of a pseudorandom generator and which withstands an active, adaptive adversary corrupting a minority of the parties.
Two-Round Multiparty Secure Computation from Minimal Assumptions
TLDR
These protocols are provided assuming the minimal assumption that two-round oblivious transfer (OT) exists and that the protocol is secure against semi-honest adversaries and malicious adversaries.
On 2-Round Secure Multiparty Computation
TLDR
This work shows that 3 is the exact round complexity of general secure multiparty computation, assuming the availability of secure point-to-point channels and a broadcast primitive, and presents some positive results by identifying a useful class of functions which can be securely computed in two rounds.
The Exact Round Complexity of Secure Computation
TLDR
The exact round complexity of secure computation in the multi-party and two-party settings is revisited and a variety of results offering trade-offs between rounds and the cryptographic assumptions used are obtained, depending upon the particular instantiations of underlying protocols.
Non-interactive zero-knowledge and its applications
TLDR
It is shown that interaction in any zero-knowledge proof can be replaced by sharing a common, short, random string, and this result is used to construct the first public-key cryptosystem secure against chosen ciphertext attack.
Secure Multiparty Computation with Minimal Interaction
TLDR
This work revisits the question of secure multiparty computation with two rounds of interaction and shows that under a relaxed notion of security, allowing the adversary to selectively decide which honest parties will receive their (correct) output, there is a general 2-round MPC protocol which tolerates t < n/3 corrupted parties.
Publicly Verifiable Non-Interactive Zero-Knowledge Proofs
In this paper we construct the first publicly verifiable non-interactive zero-knowledge proof for any NP statement under the general assumption that one way permutations exist. If the prover is
k-Round Multiparty Computation from k-Round Oblivious Transfer via Garbled Interactive Circuits
TLDR
New constructions of round-efficient, or even round-optimal, Multi-Party Computation (MPC) protocols from Oblivious Transfer (OT) protocols are presented, resolving the round complexity of semi-honest MPC assuming weak and necessary assumption.
...
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