[PDF] Top 20 Indistinguishability Obfuscation: from Approximate to Exact

... transformations from subexponentially-secure approximate indistinguisha- bility obfuscation (IO) where the obfuscated circuit agrees with the original circuit on a 1/2 + fraction of inputs on a ... See full document

... 16] from iO for circuits has required a polynomial bound ` to be placed on the input length to the obfuscated Turing ...restriction from iO for circuits – this remains a major open ... See full document

... constructed from LWE ...functions from iO and OWF (even if iO uses OWF in a non-black-box ...iO from private-key functional encryption schemes (PFE), but this result requires the iO to also handle ... See full document

... of indistinguishability obfuscation, positioning it as a central hub for almost all known cryptographic tasks, and as an extremely powerful building block for new cryptographic tasks resolv- ing ... See full document

... Our construction of NLinFE appears much simpler in design than the construction of multilinear map based obfuscators, we refer the reader to [MSZ16, PM18] for a clean description of an abstract obfuscator. Unlike current ... See full document

... obfuscator from a circuit ...or obfuscation procedure will be proportional to |M |, while the evaluation will call the obfuscated program up to T ...of obfuscation where we can treat the obfuscated ... See full document

... There are a couple of difficulties in achieving this compared to the iterated functions case. One is that a transition function for a RAM machine inherently takes two different inputs - its state and the contents of ... See full document

... results from the previous section, point obfuscation— in particular AIPO—and indistinguishability obfuscation (iO) together make a powerful ...point obfuscation scheme which can ... See full document

... on indistinguishability obfuscation and similar to many other recent constructions from iO [SW14, BST14, HSW14, BZ14] our construction also makes use of puncturable PRFs [SW14] which admit the ... See full document

... Finally various other technical challenges arise in the security proof. For example, in the proof of security the simulator needs to hardcode the output that the adversary gets as part of its ciphertext in a way that ... See full document

... evaluator gets only the wire keys corresponding to the output of the FHE evaluation. Once this is achieved, the garbled circuit that is provided as part of the input encoding can then be evaluated to obtain the decrypted ... See full document

... 13b] from multilinear maps and by Gorbunov, Vaikuntanathan and Wee [GVW13] from the learning with errors [Reg05] ...use indistinguishability obfuscation for circuits and punctured PRFs to ... See full document

... indistinguishable from that of (e 0 , Y + e), where e ← χ is a random sample from χ, and e 0 is another independent sample from χ conditioned on agreeing with e at a few, o(λ), ...IO from 1) a ... See full document

... Chen, Gentry and Halevi [11] have extended the annihilation attack introduced by Miles, Sahai and Zhandry [28] to break the GGH13-based branching program obfuscators with the padded random diagonal entries by using the ... See full document

... IPE from SXDH on bilinear maps, which can then be transformed to function hiding IPE using ...built from the ABDP public-key IPE scheme in a modular way, and inherits its efficiency and simplicity: ... See full document

... Proof. The outline of the proof is the following. First, we give a description of our simulator. Then we prove that no environment can distinguish between a real execution and a simulation. We do this in two steps. In ... See full document

... We described a new notion called one way encoding system (OWES). By making use of the indistinguishability obfuscation, we construct a self-bilinear map over the OWES. The EBCDHP is proved to be hard if the ... See full document

... [GW09] from semi-static to adaptive security also applies to private broadcast, and we therefore obtain an adaptively-secure recipient-private broadcast ... See full document

... program obfuscation remained an elusive goal for several decades, this changed recently with the seminal work of Garg et ...of indistinguishability obfuscation [BGI + 01] (iO) for ... 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