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Erschienen in:
Impossibility of VBB Obfuscation with Ideal Constant-Degree Graded Encodings Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Indistinguishability Obfuscation: From Approximate to Exact

verfasst von : Nir Bitansky, Vinod Vaikuntanathan

Erschienen in: Theory of Cryptography

Verlag: Springer Berlin Heidelberg

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Abstract

We show general transformations from subexponentially-secure approximate indistinguishability obfuscation (IO) where the obfuscated circuit agrees with the original circuit on a \(1/2+\epsilon \) fraction of inputs on a certain samplable distribution, into exact indistinguishability obfuscation where the obfuscated circuit and the original circuit agree on all inputs. As a step towards our results, which is of independent interest, we also obtain an approximate-to-exact transformation for functional encryption. At the core of our techniques is a method for “fooling” the obfuscator into giving us the correct answer, while preserving the indistinguishability-based security. This is achieved based on various types of secure computation protocols that can be obtained from different standard assumptions.
Put together with the recent results of Canetti, Kalai and Paneth (TCC 2015), Pass and Shelat (TCC 2016), and Mahmoody, Mohammed and Nemathaji (TCC 2016), we show how to convert indistinguishability obfuscation schemes in various ideal models into exact obfuscation schemes in the plain model.

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Vorheriges Kapitel Lower Bounds on Assumptions Behind Indistinguishability Obfuscation
Nächstes Kapitel Output-Compressing Randomized Encodings and Applications
Fußnoten
1
Graduate students do not count.
 
2
This is just to simplify the construction and is satisfied the instantiation discussed in Sect. 2. In Remark 4.4, we explain how this assumption can be removed (at the cost of complicating the construction).
 
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Metadaten
Titel
Indistinguishability Obfuscation: From Approximate to Exact
verfasst von
Nir Bitansky
Vinod Vaikuntanathan
Copyright-Jahr
2016
Verlag
Springer Berlin Heidelberg
Buch
Theory of Cryptography

Print ISBN: 978-3-662-49095-2

Electronic ISBN: 978-3-662-49096-9

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-662-49096-9_4