Cryptology ePrint Archive: Report 2015/730

Indistinguishability Obfuscation from Functional Encryption for Simple Functions

Prabhanjan Ananth and 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.

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Date: received 21 Jul 2015, last revised 28 Oct 2015

Contact author: prabhanjan va at gmail com

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Version: 20151028:184618 (All versions of this report)

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