[Resource Topic] 2013/643: There is no Indistinguishability Obfuscation in Pessiland

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Title:
There is no Indistinguishability Obfuscation in Pessiland

Authors: Tal Moran, 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.

ePrint: https://eprint.iacr.org/2013/643

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