Impossibility of VBB Obfuscation with Ideal Constant-Degree Graded Encodings

Paper 2015/383

Impossibility of VBB Obfuscation with Ideal Constant-Degree Graded Encodings

Rafael Pass and abhi shelat

Abstract

A celebrated result by Barak et al (JACM’12) shows the impossibility of general-purpose virtual black-box (VBB) obfuscation in the plain model. A recent work by Canetti, Kalai, and Paneth (TCC’15) extends this result also to the random oracle model (assuming trapdoor per- mutations). In contrast, Brakerski-Rothblum (TCC’15) and Barak et al (EuroCrypt’14) show that in idealized graded encoding models, general-purpose VBB obfuscation indeed is possible; these construction require graded encoding schemes that enable evaluating high-degree (polynomial in the size of the circuit to be obfuscated) polynomials on encodings. We show a complementary impossibility of general-purpose VBB obfuscation in idealized graded encoding models that enable only evaluation of constant-degree polynomials (assuming trapdoor permutations).

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. MINOR revision.
Keywords
VBB obfuscationgraded encodings
Contact author(s)
rafael @ cs cornell edu
History
2015-04-28: received
Short URL
https://ia.cr/2015/383
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/383,
      author = {Rafael Pass and abhi shelat},
      title = {Impossibility of {VBB} Obfuscation with Ideal Constant-Degree Graded Encodings},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/383},
      year = {2015},
      url = {https://eprint.iacr.org/2015/383}
}
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