Paper 2013/873 Original: eprint.iacr.org/2013/873 ↗
Poly-Many Hardcore Bits for Any One-Way Function and a Framework for Differing-Inputs Obfuscation
Abstract
We show how to extract an arbitrary polynomial number of simultaneously hardcore bits from any one-way function. In the case the one-way function is injective or has polynomially-bounded pre-image size, we assume the existence of indistinguishability obfuscation (iO). In the general case, we assume the existence of differing-input obfuscation (diO), but of a form weaker than full auxiliary-input diO. Our construction for injective one-way functions extends to extract hardcore bits on multiple, correlated inputs, yielding new D-PKE schemes. Of independent interest is a definitional framework for differing-inputs obfuscation in which security is parameterized by circuit-sampler classes.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2014-09-15: last updated
- 2013-12-29: published
- Short URL
- https://ia.cr/2013/873
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2013/873,
author = {Mihir Bellare and Igors Stepanovs and Stefano Tessaro},
title = {Poly-Many Hardcore Bits for Any One-Way Function and a Framework for Differing-Inputs Obfuscation},
howpublished = {Cryptology {ePrint} Archive, Paper 2013/873},
year = {2013},
url = {https://eprint.iacr.org/2013/873}
}