Paper 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.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. MINOR revision.
Keywords
obfuscationone-way functions
Contact author(s)
alon rosen @ idc ac il
History
2013-10-10: received
Short URL
https://ia.cr/2013/643
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2013/643,
      author = {Tal Moran and Alon Rosen},
      title = {There is no Indistinguishability Obfuscation in Pessiland},
      howpublished = {Cryptology ePrint Archive, Paper 2013/643},
      year = {2013},
      note = {\url{https://eprint.iacr.org/2013/643}},
      url = {https://eprint.iacr.org/2013/643}
}
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