License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2021.26
URN: urn:nbn:de:0030-drops-136715
URL: https://drops.dagstuhl.de/opus/volltexte/2021/13671/
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Dvořák, Pavel ; Koucký, Michal

Barrington Plays Cards: The Complexity of Card-Based Protocols

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LIPIcs-STACS-2021-26.pdf (0.6 MB)


Abstract

In this paper we study the computational complexity of functions that have efficient card-based protocols. A study of card-based protocols was initiated by den Boer [den Boer, 1990] as a means for secure two-party computation. Our contribution is two-fold: We classify a large class of protocols with respect to the computational complexity of functions they compute, and we propose other encodings of inputs which require fewer cards than the usual 2-card representation.

BibTeX - Entry

@InProceedings{dvorak_et_al:LIPIcs.STACS.2021.26,
  author =	{Dvo\v{r}\'{a}k, Pavel and Kouck\'{y}, Michal},
  title =	{{Barrington Plays Cards: The Complexity of Card-Based Protocols}},
  booktitle =	{38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)},
  pages =	{26:1--26:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-180-1},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{187},
  editor =	{Bl\"{a}ser, Markus and Monmege, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13671},
  URN =		{urn:nbn:de:0030-drops-136715},
  doi =		{10.4230/LIPIcs.STACS.2021.26},
  annote =	{Keywords: Efficient card-based protocol, Branching program, Turing machine}
}

Keywords: Efficient card-based protocol, Branching program, Turing machine
Collection: 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)
Issue Date: 2021
Date of publication: 10.03.2021


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