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Universally Composable Almost-Everywhere Secure Computation

Authors Nishanth Chandran, Pouyan Forghani, Juan Garay, Rafail Ostrovsky, Rutvik Patel, Vassilis Zikas

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Author Details

Nishanth Chandran
  • Microsoft Research, Bangalore, India
Pouyan Forghani
  • Texas A&M University, College Station, TX, USA
Juan Garay
  • Texas A&M University, College Station, TX, USA
Rafail Ostrovsky
  • University of California, Los Angeles, CA, USA
Rutvik Patel
  • Texas A&M University, College Station, TX, USA
Vassilis Zikas
  • Purdue University, West Lafayette, IN, USA

Funding

  • Garay, Juan: Work partially supported by NSF grants CNS-2001082 and CNS-2055694.
  • Ostrovsky, Rafail: Supported in part by DARPA under Cooperative Agreement HR0011-20-2-0025, NSF grant CNS-2001096, US-Israel BSF grant 2015782, Cisco Research Award, Google Faculty Award, JP Morgan Faculty Award, IBM Faculty Research Award, Xerox Faculty Research Award, OKAWA Foundation Research Award, B. John Garrick Foundation Award, Teradata Research Award, Lockheed-Martin Research Award and Sunday Group. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies, either expressed or implied, of DARPA, the Department of Defense, or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for governmental purposes not withstanding any copyright annotation therein.
  • Zikas, Vassilis: Research supported in part by NSF grants CNS-2055599 and CNS-2001096, BSF grant 2020277, and by Sunday Group.

Acknowledgements

The authors are grateful to Ran Canetti for useful discussions during preliminary stages of this work.

Cite As Get BibTex

Nishanth Chandran, Pouyan Forghani, Juan Garay, Rafail Ostrovsky, Rutvik Patel, and Vassilis Zikas. Universally Composable Almost-Everywhere Secure Computation. In 3rd Conference on Information-Theoretic Cryptography (ITC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 230, pp. 14:1-14:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ITC.2022.14

Abstract

Most existing work on secure multi-party computation (MPC) ignores a key idiosyncrasy of modern communication networks, that there are a limited number of communication paths between any two nodes, many of which might even be corrupted. The problem becomes particularly acute in the information-theoretic setting, where the lack of trusted setups (and the cryptographic primitives they enable) makes communication over sparse networks more challenging. The work by Garay and Ostrovsky [EUROCRYPT'08] on almost-everywhere MPC (AE-MPC), introduced "best-possible security" properties for MPC over such incomplete networks, where necessarily some of the honest parties may be excluded from the computation.
In this work, we provide a universally composable definition of almost-everywhere security, which allows us to automatically and accurately capture the guarantees of AE-MPC (as well as AE-communication, the analogous "best-possible security" version of secure communication) in the Universal Composability (UC) framework of Canetti. Our results offer the first simulation-based treatment of this important but under-investigated problem, along with the first simulation-based proof of AE-MPC. To achieve that goal, we state and prove a general composition theorem, which makes precise the level or "quality" of AE-security that is obtained when a protocol’s hybrids are replaced with almost-everywhere components.

Subject Classification

ACM Subject Classification
  • Theory of computation → Cryptographic protocols
  • Security and privacy → Information-theoretic techniques
  • Security and privacy → Formal security models
Keywords
  • Secure multi-party computation
  • universal composability
  • almost-everywhere secure computation
  • sparse graphs
  • secure message transmission

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