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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Poly-Many Hardcore Bits for Any One-Way Function and a Framework for Differing-Inputs Obfuscation
verfasst von : Mihir Bellare, Igors Stepanovs, Stefano Tessaro
Erschienen in: Advances in Cryptology – ASIACRYPT 2014
Verlag: Springer Berlin Heidelberg
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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.