Perfect structure on the edge of chaos trapdoor permutations from indistinguishability obfuscation

Nir Bitansky*, Omer Paneth, Daniel Wichs

*Corresponding author for this work

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

Abstract

We construct trapdoor permutations based on (subexponential) indistinguishability obfuscation and one-way functions, thereby providing the first candidate that is not based on the hardness of factoring. Our construction shows that even highly structured primitives, such as trapdoor permutations, can be potentially based on hardness assumptions with noisy structures such as those used in candidate constructions of indistinguishability obfuscation. It also suggest a possible way to construct trapdoor permutations that resist quantum attacks, and that their hardness may be based on problems outside the complexity class SZK — indeed, while factoring-based candidates do not possess such security, future constructions of indistinguishability obfuscation might. As a corollary, we eliminate the need to assume trapdoor permutations and injective one-way function in many recent constructions based on indistinguishability obfuscation.

Original languageEnglish
Title of host publicationTheory of Cryptography - 13th International Conference, TCC 2016-A, Proceedings
EditorsEyal Kushilevitz, Tal Malkin
PublisherSpringer Verlag
Pages474-502
Number of pages29
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
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

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

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