Cryptology ePrint Archive: Report 2015/703

Point-Function Obfuscation: A Framework and Generic Constructions

Mihir Bellare and Igors Stepanovs

Abstract: We unify the many prior variants of point-function obfuscation via a definitional framework in which security is parameterized by a class of algorithms we call target generators, with different notions corresponding to different choices of this class. This leads to an elegant question, namely whether it is possible to provide a generic construction, meaning one that takes an arbitrary class of target generators and returns a point-function obfuscator secure for it. We answer this in the affirmative with three generic constructions, the first based on indistinguishability obfuscation, the second on deterministic public-key encryption and the third on universal computational extractors. By exploiting known constructions of the primitives assumed, we obtain a host of new point-function obfuscators, including many under standard assumptions.

Category / Keywords: foundations / point-function obfuscation, indistinguishability obfuscation, one-way functions, deterministic encryption, UCE

Date: received 13 Jul 2015, last revised 19 Jul 2015

Contact author: istepano at eng ucsd edu

Available format(s): PDF | BibTeX Citation

Version: 20150720:042759 (All versions of this report)

Short URL: ia.cr/2015/703

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