Paper 2015/730

Indistinguishability Obfuscation from Functional Encryption for Simple Functions

Prabhanjan Ananth, Abhishek Jain, and Amit Sahai

Abstract

We show how to construct indistinguishability obfuscation (iO) for circuits from any non-compact functional encryption (FE) scheme with sub-exponential security against unbounded collusions. We accomplish this by giving a generic transformation from any such FE scheme into a compact FE scheme. By composing this with the transformation from sub-exponentially secure compact FE to iO (Ananth and Jain [CRYPTO'15], Bitansky and Vaikuntanathan [FOCS'15]), we obtain our main result. Our result provides a new pathway to iO. We use our technique to identify a simple function family for FE that suffices for our general result. We show that the function family F is complete, where every f in F consists of three evaluations of a Weak PRF followed by finite operations. We believe that this may be useful for realizing iO from weaker assumptions in the future.

Metadata
Available format(s)
PDF
Publication info
Preprint. MINOR revision.
Contact author(s)
prabhanjan va @ gmail com
History
2015-10-28: last of 2 revisions
2015-07-24: received
See all versions
Short URL
https://ia.cr/2015/730
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/730,
      author = {Prabhanjan Ananth and Abhishek Jain and Amit Sahai},
      title = {Indistinguishability Obfuscation from Functional Encryption for Simple Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/730},
      year = {2015},
      url = {https://eprint.iacr.org/2015/730}
}
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