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.2020.108
URN: urn:nbn:de:0030-drops-125153
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12515/
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Barak, Boaz ; Crubillé, Raphaëlle ; Dal Lago, Ugo

On Higher-Order Cryptography

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LIPIcs-ICALP-2020-108.pdf (0.6 MB)

Abstract

Type-two constructions abound in cryptography: adversaries for encryption and authentication schemes, if active, are modeled as algorithms having access to oracles, i.e. as second-order algorithms. But how about making cryptographic schemes themselves higher-order? This paper gives an answer to this question, by first describing why higher-order cryptography is interesting as an object of study, then showing how the concept of probabilistic polynomial time algorithm can be generalized so as to encompass algorithms of order strictly higher than two, and finally proving some positive and negative results about the existence of higher-order cryptographic primitives, namely authentication schemes and pseudorandom functions.

BibTeX - Entry

@InProceedings{barak_et_al:LIPIcs:2020:12515,
  author =	{Boaz Barak and Rapha{\"e}lle Crubill{\'e} and Ugo Dal Lago},
  title =	{{On Higher-Order Cryptography}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{108:1--108:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12515},
  URN =		{urn:nbn:de:0030-drops-125153},
  doi =		{10.4230/LIPIcs.ICALP.2020.108},
  annote =	{Keywords: Higher-order computation, probabilistic computation, game semantics, cryptography}
}

Keywords: Higher-order computation, probabilistic computation, game semantics, cryptography
Collection: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue Date: 2020
Date of publication: 29.06.2020

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