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.MFCS.2016.57
URN: urn:nbn:de:0030-drops-64696
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6469/
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Kerenidis, Iordanis ; Rosén, Adi ; Urrutia, Florent

Multi-Party Protocols, Information Complexity and Privacy

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LIPIcs-MFCS-2016-57.pdf (0.5 MB)

Abstract

We introduce the new measure of Public Information Complexity (PIC), as a tool for the study of multi-party computation protocols, and of quantities such as their communication complexity, or the amount of randomness they require in the context of information-theoretic private computations. We are able to use this measure directly in the natural asynchronous message-passing peer-to-peer model and show a number of interesting properties and applications of our new notion:
the Public Information Complexity is a lower bound on the Communication Complexity and an upper bound on the Information Complexity; the difference between the Public Information Complexity and the Information Complexity provides a lower bound on the amount of randomness used in a protocol; any communication protocol can be compressed to its Public Information Cost; an explicit calculation of the zero-error Public Information Complexity of the k-party, n-bit Parity function, where a player outputs the bit-wise parity of the inputs. The latter result establishes that the amount of randomness needed for a private protocol that computes this function is Omega(n).

BibTeX - Entry

@InProceedings{kerenidis_et_al:LIPIcs:2016:6469,
  author =	{Iordanis Kerenidis and Adi Ros{\'e}n and Florent Urrutia},
  title =	{{Multi-Party Protocols, Information Complexity and Privacy}},
  booktitle =	{41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
  pages =	{57:1--57:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-016-3},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{58},
  editor =	{Piotr Faliszewski and Anca Muscholl and Rolf Niedermeier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6469},
  URN =		{urn:nbn:de:0030-drops-64696},
  doi =		{10.4230/LIPIcs.MFCS.2016.57},
  annote =	{Keywords: multi-party protocols,  information theory, communication complexity, multi-party private computation (MPC), randomness}
}

Keywords: multi-party protocols, information theory, communication complexity, multi-party private computation (MPC), randomness
Collection: 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
Issue Date: 2016
Date of publication: 19.08.2016

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