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Brief Announcement: Optimally-Resilient Unconditionally-Secure Asynchronous Multi-Party Computation Revisited

Author Ashish Choudhury

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Author Details

Ashish Choudhury
  • International Institute of Information Technology Bangalore, India

Funding

  • Choudhury, Ashish: This research is an outcome of the R & D work undertaken in the project under the Visvesvaraya PhD Scheme of Ministry of Electronics & Information Technology, Government of India, being implemented by Digital India Corporation (formerly Media Lab Asia).

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Ashish Choudhury. Brief Announcement: Optimally-Resilient Unconditionally-Secure Asynchronous Multi-Party Computation Revisited. In 34th International Symposium on Distributed Computing (DISC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 179, pp. 44:1-44:3, Schloss Dagstuhl – Leibniz-Zentrum fΓΌr Informatik (2020)
https://doi.org/10.4230/LIPIcs.DISC.2020.44

Abstract

In this paper, we present an optimally-resilient, unconditionally-secure asynchronous multi-party computation (AMPC) protocol for n parties, tolerating a computationally unbounded adversary, capable of corrupting up to t < n/3 parties. Our protocol needs a communication of π’ͺ(n⁴) field elements per multiplication gate. This is to be compared with previous best AMPC protocol (Patra et al, ICITS 2009) in the same setting, which needs a communication of π’ͺ(n⁡) field elements per multiplication gate. To design our protocol, we present a simple and highly efficient asynchronous verifiable secret-sharing (AVSS) protocol, which is of independent interest.

Subject Classification

ACM Subject Classification
  • Security and privacy β†’ Information-theoretic techniques
  • Theory of computation β†’ Distributed algorithms
  • Theory of computation β†’ Cryptographic protocols
Keywords
  • Verifiable Secret-sharing
  • Secure MPC
  • Fault-tolerance
  • Byzantine faults
  • secret-sharing
  • unconditional-security
  • privacy

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References

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