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2018 | OriginalPaper | Buchkapitel

Obfuscation from Polynomial Hardness: Beyond Decomposable Obfuscation

verfasst von : Yuan Kang, Chengyu Lin, Tal Malkin, Mariana Raykova

Erschienen in: Security and Cryptography for Networks

Verlag: Springer International Publishing

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Abstract

Every known construction of general indistinguishability obfuscation (\(\mathsf {i}\mathcal {O}\)) is either based on a family of exponentially many assumptions, or is based on a single assumption – e.g. functional encryption (\(\mathsf {FE}\)) – using a reduction that incurs an exponential loss in security. This seems to be an inherent limitation if we insist on providing indistinguishability for any pair of functionally equivalent circuits.

Recently, Liu and Zhandry (TCC 2017) introduced the notion of decomposable \(\mathsf {i}\mathcal {O}\) (\(\mathsf {d}\mathcal {O}\)), which provides indistinguishability for a restricted class of functionally equivalent circuit pairs, and, as the authors show, can be constructed from polynomially secure \(\mathsf {FE}\).

In this paper we propose a new notion of obfuscation, termed \(\mathsf {rad}{\mathsf {i}\mathcal {O}}\) (repeated-subcircuit and decomposable obfuscation), which allows us to obfuscate a strictly larger class of circuit pairs using a polynomial reduction to \(\mathsf {FE}\). Our notion builds on the equivalence criterion of Liu and Zhandry, combining it with a new incomparable criterion to obtain a strictly larger class.

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Vorheriges Kapitel Quantum Demiric-Selçuk Meet-in-the-Middle Attacks: Applications to 6-Round Generic Feistel Constructions

Nächstes Kapitel Non-trivial Witness Encryption and Null-iO from Standard Assumptions

The authors originally called this exploding obfuscation, and this is the term they use in the eprint version of their paper.

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Titel: Obfuscation from Polynomial Hardness: Beyond Decomposable Obfuscation
verfasst von: Yuan Kang
Chengyu Lin
Tal Malkin
Mariana Raykova
Verlag: Springer International Publishing
Buch: Security and Cryptography for Networks
Print ISBN: 978-3-319-98112-3

Electronic ISBN: 978-3-319-98113-0

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-98113-0_22

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