[PDF] Top 20 There is no Indistinguishability Obfuscation in Pessiland

... We show that if NP , co −RP then the existence of e ffi cient indistinguishability obfuscation (iO) implies the existence of one-way functions. Thus, if we live in “Pessiland”, where NP problems are ... See full document

... secure indistinguishability obfuscation (iO, a very strong but generic assumption), a perfectly correct additively homomorphic encryption scheme for addition modulo a given prime, and a pairing-friendly ... See full document

... the obfuscation construction that treat the Multilinear Jigsaw Puzzle as an ideal black ...candidate obfuscation schemes, or whether any attack against the scheme must rely on some weakness of the ... See full document

... We prove Theorem 1.1 by presenting an oracle Γ relative to which the following three properties hold: (1) there exists an exponentially-secure one-way permutation (and even a trapdoor permu- tation family), (2) there ... See full document

... There are two ways of formalizing SOA security: indistinguishability-based (IND-SO) and simulation- based (SIM-SO). According to whether the adversary is able to access to a decryption oracle during its attack, ... See full document

... an obfuscation of a program M , the obfuscator may simply release a fresh obfuscation of M 0 where M 0 is the patched version of M ...program obfuscation that approximately preserves this ... See full document

... Abstract. Since the seminal work of Garg et al. (FOCS’13) in which they proposed the first candidate construction for indistinguishability ob- fuscation (iO for short), iO has become a central cryptographic ... See full document

... Theorem 2 (Informally stated). Assume the existence of semantically secure multilinear encodings and a leveled FHE with decryption in NC 1 . Then there exists indistinguishability obfuscators for P/poly. ... See full document

... computational assumptions (much stronger than MDDH) or require asymmetric multilinear maps. On the other hand, we use iO to construct symmetric MLMs in which we can (at this point) only prove compara- tively mild (though ... See full document

... candidate indistinguishability obfuscator, many researchers have studied the implications of in- distinguishability obfuscation as well as other obfuscation ...differing-inputs obfuscation [1, ... See full document

... The proof is carried out by a sequence of hybrids. We shall begin with a hybrid that is identical to the ideal-world execution. Note that the main difference from the real-world execution is the ciphertext randomisation. ... See full document

... It is natural to ask if CGH-like techniques can be directly applied here so as to obtain uninstantiability results that do not rely on the iO machinery. For uninstantiability with respect to unkeyed hash functions, one ... See full document

... If we used VBB obfuscation, we could argue security intuitively as follows. Imagine an aug- mented version of the underlying MPC protocol, where we prepend a round of commitment to the inputs and randomness, after ... See full document

... in the case of [GGH + 13b], the assumption chosen simply embeds an actual obfuscation of one of the program descriptions. If one ever fed the reduction a pair of non-functionally equivalent programs, then the ... See full document

... exponentially-secure indistinguishability obfuscator iO for the class of all polynomial-size oracle-aided circuits C f ...(an obfuscation of an oracle-aided circuit C is a “handle” O(C, r) for a ... See full document

... However, ideally, we would like our security definition to capture a scenario where sampler parameters U are set, and then an adversary can potentially adaptively choose a program d for generating samples for some ... See full document

... A very recent elegant work by Pandey, Prabhakaran and Sahai [PPS13] takes a different ap- proach and instead demonstrates the existence of constant-round concurrent zero-knowledge pro- tocol with an explicit simulator ... See full document

... on indistinguishability obfuscation due to [GGH + ...the indistinguishability security game, the adversary is allowed to get secret keys for any function f , as long as this function does not “split” ... See full document

... Program obfuscation, aiming to turn programs into “unintelligible” ones while preserving functionality, has been a holy grail in cryptography for over a ...of obfuscation are widely used in practice, our ... See full document

... point obfuscation scheme of Canetti [Can97] composes in the so-called virtual grey-box (VGB) ...strongest obfuscation setting the virtual black-box (VBB) setting [BGI + 01, BGI + ...VBB obfuscation, ... See full document