License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2018.24
URN: urn:nbn:de:0030-drops-90288
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9028/
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Boyle, Elette ; Jain, Abhishek ; Prabhakaran, Manoj ; Yu, Ching-Hua

The Bottleneck Complexity of Secure Multiparty Computation

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LIPIcs-ICALP-2018-24.pdf (0.5 MB)


Abstract

In this work, we initiate the study of bottleneck complexity as a new communication efficiency measure for secure multiparty computation (MPC). Roughly, the bottleneck complexity of an MPC protocol is defined as the maximum communication complexity required by any party within the protocol execution. We observe that even without security, bottleneck communication complexity is an interesting measure of communication complexity for (distributed) functions and propose it as a fundamental area to explore. While achieving O(n) bottleneck complexity (where n is the number of parties) is straightforward, we show that: (1) achieving sublinear bottleneck complexity is not always possible, even when no security is required. (2) On the other hand, several useful classes of functions do have o(n) bottleneck complexity, when no security is required. Our main positive result is a compiler that transforms any (possibly insecure) efficient protocol with fixed communication-pattern for computing any functionality into a secure MPC protocol while preserving the bottleneck complexity of the underlying protocol (up to security parameter overhead). Given our compiler, an efficient protocol for any function f with sublinear bottleneck complexity can be transformed into an MPC protocol for f with the same bottleneck complexity. Along the way, we build cryptographic primitives - incremental fully-homomorphic encryption, succinct non-interactive arguments of knowledge with ID-based simulation-extractability property and verifiable protocol execution - that may be of independent interest.

BibTeX - Entry

@InProceedings{boyle_et_al:LIPIcs:2018:9028,
  author =	{Elette Boyle and Abhishek Jain and Manoj Prabhakaran and Ching-Hua Yu},
  title =	{{The Bottleneck Complexity of Secure Multiparty Computation}},
  booktitle =	{45th International Colloquium on Automata, Languages, and  Programming (ICALP 2018)},
  pages =	{24:1--24:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9028},
  URN =		{urn:nbn:de:0030-drops-90288},
  doi =		{10.4230/LIPIcs.ICALP.2018.24},
  annote =	{Keywords: distributed protocols, secure computation, communication complexity}
}

Keywords: distributed protocols, secure computation, communication complexity
Collection: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Issue Date: 2018
Date of publication: 04.07.2018


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