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Communication-Efficient MPC for General Adversary Structures

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Security and Cryptography for Networks (SCN 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8642))

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Abstract

A multiparty computation (MPC) protocol allows a set of players to compute a function of their inputs while keeping the inputs private and at the same time securing the correctness of the output. Most MPC protocols assume that the adversary can corrupt up to a fixed fraction of the number of players. Hirt and Maurer initiated the study of MPC under more general corruption patterns, in which the adversary is allowed to corrupt any set of players in some pre-defined collection of sets [1]. In this paper we consider this important direction and present improved communication complexity of MPC protocols for general adversary structures. More specifically, ours is the first unconditionally secure protocol that achieves linear communication in the size of Monotone Span Program representing the adversary structure in the malicious setting against any Q2 adversary structure, whereas all previous protocols were at least cubic.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90095, USA

    Joshua Lampkins

  2. Department of Computer Science and Department of Mathematics, University of California, Los Angeles, CA, 90095, USA

    Rafail Ostrovsky

Authors
  1. Joshua Lampkins
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  2. Rafail Ostrovsky
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Editors and Affiliations

  1. École Normale Supérieure & CNRS, 45 rue d’Ulm, 75005, Paris, France

    Michel Abdalla

  2. Dipartimento di Informatica, Università di Salerno, via Ponte don Melillo, 84084, Fisciano, Italy

    Roberto De Prisco

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Lampkins, J., Ostrovsky, R. (2014). Communication-Efficient MPC for General Adversary Structures. In: Abdalla, M., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2014. Lecture Notes in Computer Science, vol 8642. Springer, Cham. https://doi.org/10.1007/978-3-319-10879-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-10879-7_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10878-0

  • Online ISBN: 978-3-319-10879-7

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