SPHF-friendly non-interactive commitments

  • Michel Abdalla
  • , Fabrice Benhamouda
  • , Olivier Blazy
  • , Céline Chevalier
  • , David Pointcheval

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In 2009, Abdalla et al. proposed a reasonably practical password-authenticated key exchange (PAKE) secure against adaptive adversaries in the universal composability (UC) framework. It exploited the Canetti-Fischlin methodology for commitments and the Cramer-Shoup smooth projective hash functions (SPHFs), following the Gennaro-Lindell approach for PAKE. In this paper, we revisit the notion of non-interactive commitments, with a new formalism that implies UC security. In addition, we provide a quite efficient instantiation. We then extend our formalism to SPHF-friendly commitments. We thereafter show that it allows a blackbox application to one-round PAKE and oblivious transfer (OT), still secure in the UC framework against adaptive adversaries, assuming reliable erasures and a single global common reference string, even for multiple sessions. Our instantiations are more efficient than the Abdalla et al. PAKE in Crypto 2009 and the recent OT protocol proposed by Choi et al. in PKC 2013. Furthermore, the new PAKE instantiation is the first one-round scheme achieving UC security against adaptive adversaries.

Original languageEnglish
Title of host publicationAdvances in Cryptology, ASIACRYPT 2013 - 19th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
Pages214-234
Number of pages21
EditionPART 1
DOIs
Publication statusPublished - 1 Dec 2013
Externally publishedYes
Event19th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2013 - Bengaluru, India
Duration: 1 Dec 20135 Dec 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume8269 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2013
Country/TerritoryIndia
CityBengaluru
Period1/12/135/12/13

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