[PDF] Top 20 On Constructing One-Way Permutations from Indistinguishability Obfuscation

... which indistinguishability obfuscation can be used as a building block has been insufficiently ...on indistinguishability obfuscation is based on that of Asharov and Segev [AS15] (which, in ... See full document

... techniques from latter works, they constructed predicate encryption schemes for P/poly, which is weaker than functional encryption in the sense that it only guarantees “one-sided” security, that is, privacy ... See full document

... the indistinguishability obfuscator to any primitive that can be constructed in a fully black-box manner from a one-way permutation (or trapdoor permutations) and ... See full document

... starts from any indistinguishability obfuscator for circuits, and in addition assumes only existence of injective one way ...Our obfuscation mechanism can be used in practically any ... See full document

... Indistinguishability obfuscation for Turing machines has been constructed in the works of Boyle, Chung and Pass [BCP14] and Ananth et ...differing-inputs obfuscation (diO) which extends iO to ... See full document

... Aside from significantly different techniques, the final results obtained by the two works are also ...only one of the ways of achieving iO; we also define an even weaker type of PRG, namely correlated ... See full document

... apparent from executing ...in indistinguishability obfuscation, first defined by Barak et ...guishability obfuscation was proposed by Garg et ...as one-way ... 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

... some way. We cannot let a single CPU perform the update in one time step, because it involves processing Ω(m)-size data, which makes the size of the next-step circuit dependent on Ω(m) ... See full document

... trapdoor permutations (and any primitive implied by TDPs in a black- box way) trivially exist relative to the idealized model of random ...construct from TDPs in a black-box way ...constructed ... See full document

... an indistinguishability obfuscation, whose construction is totally different from ...enable one to make the scheme“no setup” by letting the “master user” publish the public parameter in ... See full document

... Abstract. The bilinear map whose domain and target sets are identical is called the self-bilinear map. Original self-bilinear maps are defined over cyclic groups. This brings a lot of limitations to construct secure ... See full document

... and one-way functions [GGH + 13b, Wat14] or specific assumptions on composite-order multilinear maps ...and one-way ...differing-inputs obfuscation [BGI + 01, BCP14, ABG + ... See full document

... an obfuscation that takes as input encryptions of inputs of all the parties and computes the desired functionality on their ...14]. One might wonder if the use of “two key trick” can help us realize this ... See full document

... the one described above for iO, as a reduction to an instance independent problem should intuitively discover if x is indeed not in ...t from one to index t + 1, as long a t is not a valid witness ... See full document

... Fortunately we can reduce the public-key size to only poly(log N, λ) without affecting secret-key or ciphertext size. We do so by adapting the authenticated encryption approach discussed in the previous section: when ... See full document

... transformation from any single-program patchable iO that maintains state to one that does not maintain any ...hidden from the user and yet the user should be able to compute the secure ... 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

... of indistinguishability obfuscation contradicts the existence of multi-bit point function obfuscation in the presence of computationally hard-to-invert auxiliary information (MB-AIPO), a notion which ... See full document

... information from the function, it is hard for the adversary to distinguish whether the information is obtained from the hash function or a truly random ...this way include correlation robustness 5 ... See full document