Cryptology ePrint Archive: Report 2013/643

There is no Indistinguishability Obfuscation in Pessiland

Tal Moran and Alon Rosen

Abstract: We show that if $\NP \neq co-RP$ then the existence of efficient indistinguishability obfuscation (\iO) implies the existence of one-way functions. Thus, if we live in ``Pessiland", where $\NP$ problems are hard on the average but one-way functions do not exist, or even in ``Heuristica", where $\NP$ problems are hard in the worst case but easy on average, then \iO is impossible. Our result makes it redundant to explicitly assume the existence of one-way functions in most ``cryptographically interesting" applications of \iO.

Category / Keywords: foundations / obfuscation, one-way functions

Date: received 6 Oct 2013, last revised 7 Oct 2013

Contact author: alon rosen at idc ac il

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Version: 20131010:145245 (All versions of this report)

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