How to generate and use universal samplers

Dennis Hofheinz, Tibor Jager, Dakshita Khurana, Amit Sahai, Brent Waters, Mark Zhandry

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

A random oracle is an idealization that allows us to model a hash function as an oracle that will output a uniformly random string given any input. We introduce the notion of a universal sampler scheme that extends the notion of a random oracle, to a method of sampling securely from arbitrary distributions. We describe several applications that provide a natural motivation for this notion; these include generating the trusted parameters for many schemes from just a single trusted setup. We further demonstrate the versatility of universal samplers by showing how they give rise to simple constructions of identity-based encryption and multiparty key exchange. In particular, we construct adaptively secure non-interactive multiparty key exchange in the random oracle model based on indistinguishability obfuscation; obtaining the first known construction of adaptively secure NIKE without complexity leveraging. We give a solution that shows how to transform any random oracle into a universal sampler scheme, based on indistinguishability obfuscation. At the heart of our construction and proof is a new technique we call “delayed backdoor programming” that we believe will have other applications.

Original languageEnglish (US)
Title of host publicationAdvances in Cryptology - ASIACRYPT 2016 - 22nd International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
EditorsJung Hee Cheon, Tsuyoshi Takagi
PublisherSpringer Verlag
Pages715-744
Number of pages30
ISBN (Print)9783662538890
DOIs
StatePublished - Jan 1 2016
Event22nd International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2016 - Hanoi, Viet Nam
Duration: Dec 4 2016Dec 8 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10032 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other22nd International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2016
CountryViet Nam
CityHanoi
Period12/4/1612/8/16

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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