From non-adaptive to adaptive pseudorandom functions

Itay Berman, Iftach Haitner

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

Abstract

Unlike the standard notion of pseudorandom functions (PRF), a non-adaptive PRF is only required to be indistinguishable from random in the eyes of a non-adaptive distinguisher (i.e., one that prepares its oracle calls in advance). A recent line of research has studied the possibility of a direct construction of adaptive PRFs from non-adaptive ones, where direct means that the constructed adaptive PRF uses only few (ideally, constant number of) calls to the underlying non-adaptive PRF. Unfortunately, this study has only yielded negative results, showing that "natural" such constructions are unlikely to exist (e.g., Myers [EUROCRYPT '04], Pietrzak [CRYPTO '05, EUROCRYPT '06]).. We give an affirmative answer to the above question, presenting a direct construction of adaptive PRFs from non-adaptive ones. Our construction is extremely simple, a composition of the non-adaptive PRF with an appropriate pairwise independent hash function.

Original languageEnglish
Title of host publicationTheory of Cryptography - 9th Theory of Cryptography Conference, TCC 2012, Proceedings
Pages357-368
Number of pages12
DOIs
StatePublished - 2012
Event9th Theory of Cryptography Conference, TCC 2012 - Taormina, Sicily, Italy
Duration: 19 Mar 201221 Mar 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7194 LNCS

Conference

Conference9th Theory of Cryptography Conference, TCC 2012
Country/TerritoryItaly
CityTaormina, Sicily
Period19/03/1221/03/12

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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