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In this note, we show that a strong notion of KDM security cannot be obtained by any encryption scheme in the auxiliary input setting, assuming Learning With Errors (LWE) and one-way permutations. The...
Differing-inputs obfuscation (diO), first proposed by Barak et. al. [4], provides stronger security than that provided by indistinguishability obfuscation (iO). An iO scheme provides indistinguishabil...
We construct a simulator for the simulating auxiliary input problem with complexity better than all previous results and prove the optimality up to logarithmic factors by establishing a black-box lowe...
In this work, we study a class of randomized weak pseudorandom functions, which we call weak PRFs with hidden auxiliary input (HIwPRF). Compared to Learning Parity with Noise (LPN) or Learning with Er...
Most cryptographic schemes are designed in a model where perfect secrecy of the secret key is assumed. In most physical implementations, however, some form of information leakage is inherent and unavo...
Dodis, Kalai and Lovett (STOC 2009) initiated the study of the Learning Parity with Noise (LPN) problem with (static) exponentially hard-to-invert auxiliary input. In particular, they showed that un...
In a recent celebrated breakthrough, Garg et al. (FOCS 2013) gave the first candidate for so-called indistinguishability obfuscation (iO) thereby reviving the interest in obfuscation for a general p...
We show that if there exist indistinguishability obfuscators for a certain class C of circuits then there do not exist independent-auxiliary-input virtual-black-box (VBB) obfuscators for any family of...
The notion of differing-inputs obfuscation (diO) was introduced by Barak et al. (CRYPTO 2001). It guarantees that, for any two circuits $C_0, C_1$, if it is difficult to come up with an input $x$ on w...
Consider a joint distribution $(X,A)$ on a set ${\cal X}\times\{0,1\}^\ell$. We show that for any family ${\cal F}$ of distinguishers $f \colon {\cal X} \times \{0,1\}^\ell \rightarrow \{0,1\}$, there...
Extractability, or “knowledge,” assumptions (such as the “knowledge-of-exponent” assumption) have recently gained popularity in the cryptographic community—leading to the study of primitives such as e...
We show that if there exist indistinguishability obfuscators for all circuits then there do not exist auxiliary-input extractable one-way functions. In particular, the knowledge of exponent assumption...
Deterministic public-key encryption, introduced by Bellare, Boldyreva, and O'Neill (CRYPTO '07), provides an alternative to randomized public-key encryption in various scenarios where the latter exhib...
This paper investigates the Learning from Parity with Noise (LPN) problem under the scenario that the unknowns (secret keys) are only unpredictable instead of being uniformly random to the ad- vers...
We introduce a variant of the random oracle model where oracle-dependent auxiliary input is allowed. In this setting, the adversary gets an auxiliary input that can contain information about the rando...

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