Paper 2026/378

Information-Theoretic Network-Agnostic MPC with Polynomial Communication

Xiaoyu Ji, Tsinghua University
Chen-Da Liu-Zhang, Lucerne University of Applied Sciences and Arts
Daniel Pöllmann, Lucerne University of Applied Sciences and Arts, ETH Zurich
Yifan Song, Tsinghua University, Shanghai Qi Zhi Institute
Abstract

Network-agnostic MPC protocols tolerate simultaneously a higher number of corruptions $t_s < n/2$ when the network is synchronous, and a lower number $t_a < n/3$ when the network is asynchronous. As such, they provide strong resilience, irrespective of the type of underlying communication network. We focus on improving the communication complexity of network-agnostic MPC with optimal resilience $2t_s + t_a < n$. In this regime, there are no polynomial-time information-theoretic solutions and current computational protocols (without fully-homomorphic encryption) communicate $O(n^2)$ elements per multiplication gate. In this work, we significantly advance the landscape by introducing the first information-theoretic protocol with quadratic communication per multiplication gate and the first computational protocol with linear communication per multiplication gate based solely on signatures and symmetric-key encryption.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
A minor revision of an IACR publication in EUROCRYPT 2026
Keywords
MPCNetwork-AgnosticInformation-Theoretic SecureGuarantee Output Delivery
Contact author(s)
jixy23 @ mails tsinghua edu cn
chen-da liuzhang @ hslu ch
daniel poellmann @ hslu ch
yfsong @ mail tsinghua edu cn
History
2026-02-25: approved
2026-02-24: received
See all versions
Short URL
https://ia.cr/2026/378
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/378,
      author = {Xiaoyu Ji and Chen-Da Liu-Zhang and Daniel Pöllmann and Yifan Song},
      title = {Information-Theoretic Network-Agnostic {MPC} with Polynomial Communication},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/378},
      year = {2026},
      url = {https://eprint.iacr.org/2026/378}
}
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