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Poly-Many Hardcore Bits for Any One-Way Function and a Framework for Differing-Inputs Obfuscation

2014; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-662-45608-8_6

1611-3349

Mihir Bellare, Igors Stepanovs, Stefano Tessaro,

Physical Unclonable Functions (PUFs) and Hardware Security

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.