Impossibility of VBB obfuscation with ideal constant-degree graded encodings

Rafael Pass, Abhi Shelat

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

Abstract

A celebrated result by Barak et al. (Crypto’01) shows the impossibility of general-purpose virtual black-box (VBB) obfuscation in the plain model. A recent work by Canetti, Kalai, and Paneth (TCC’15) extends this impossibility result to the random oracle model (assuming trapdoor permutations). In contrast, Brakerski-Rothblum (TCC’14) and Barak et al. (Euro- Crypt’14) show that in idealized graded encoding models, general-purpose VBB obfuscation indeed is possible; these constructions require graded encoding schemes that enable evaluating high-degree (polynomial in the size of the circuit to be obfuscated) polynomials on encodings. We show a complementary impossibility of general-purpose VBB obfuscation in idealized graded encoding models that enable only evaluation of constant-degree polynomials (assuming trapdoor permutations).

Original languageEnglish
Title of host publicationTheory of Cryptography - 13th International Conference, TCC 2016-A, Proceedings
EditorsEyal Kushilevitz, Tal Malkin
PublisherSpringer Verlag
Pages3-17
Number of pages15
ISBN (Print)9783662490952
DOIs
StatePublished - 2016
Externally publishedYes
Event13th International Conference on Theory of Cryptography, TCC 2016 - Tel Aviv, Israel
Duration: 10 Jan 201613 Jan 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9562

Conference

Conference13th International Conference on Theory of Cryptography, TCC 2016
Country/TerritoryIsrael
CityTel Aviv
Period10/01/1613/01/16

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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