2020
DOI: 10.48550/arxiv.2005.12904
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Post-Quantum Multi-Party Computation

Abstract: We obtain the first constant-round post-quantum multi-party computation protocol for general classical functionalities in the plain model, with security against malicious corruptions. We assume mildly super-polynomial quantum hardness of learning with errors (LWE), and quantum polynomial hardness of an LWE-based circular security assumption. Along the way, we also construct the following protocols that may be of independent interest.

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“…Theorem 4 (MPQC with weaker assumptions [38,44]). Assuming super-polynomial quantum hardness of LWE and quantum AFS-spooky encryption [48], there exists a MPQC secure against quantum adversaries that has a round number O(nd), where n is the number of parties and d is the circuit depth.…”
Section: Mpqc For Multiple Partiesmentioning
confidence: 99%
“…Theorem 4 (MPQC with weaker assumptions [38,44]). Assuming super-polynomial quantum hardness of LWE and quantum AFS-spooky encryption [48], there exists a MPQC secure against quantum adversaries that has a round number O(nd), where n is the number of parties and d is the circuit depth.…”
Section: Mpqc For Multiple Partiesmentioning
confidence: 99%