Paper 2015/703

Point-Function Obfuscation: A Framework and Generic Constructions

Mihir Bellare and Igors Stepanovs

Abstract

We give a definitional framework for point-function obfuscation in which security is parameterized by a class of algorithms we call target generators. Existing and new notions are captured and explained as corresponding to different choices of this class. This leads to an elegant question: Is it 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 new point-function obfuscators, including many under standard assumptions. We end with a broader look that relates different known and possible notions of point function obfuscation to each other and to ours.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
A major revision of an IACR publication in Tcc 2016
Keywords
point-function obfuscationindistinguishability obfuscationone-way functionsdeterministic encryptionUCE
Contact author(s)
istepano @ eng ucsd edu
History
2016-03-03: last of 5 revisions
2015-07-14: received
See all versions
Short URL
https://ia.cr/2015/703
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/703,
      author = {Mihir Bellare and Igors Stepanovs},
      title = {Point-Function Obfuscation: A Framework and Generic Constructions},
      howpublished = {Cryptology ePrint Archive, Paper 2015/703},
      year = {2015},
      note = {\url{https://eprint.iacr.org/2015/703}},
      url = {https://eprint.iacr.org/2015/703}
}
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