[PDF] Top 20 Indistinguishability Obfuscation from Functional Encryption for Simple Functions

... We highlight a couple of problems with the above approach: first, we note that different invocations of program encoding procedure Enc of known PD-RE schemes critically use cor- related randomness – intuitively, this use ... See full document

... indistinguishable from a random strings (rather than from encryption of random ...suffer from uninstantiability ...assuming indistinguishability obfuscation for Turing machines ... See full document

... procedures from the CLT ...extension functions are built on top of the underlying graded encoding without any modifications to the existing procedures — in particular, no extra terms are needed in the ... See full document

... On the flip side, the tremendous power of IO also begets its reliance on strong and untested computational assumptions. Indeed, it has been a major cryptographic quest to come up with a construction of IO based on ... See full document

... between indistinguishability obfuscations of two circuits that differ on polynomial number of inputs with noticable probability, then there is a PPT extractor that extracts a differing input with overwhelming ... 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

... range from requiring a strict simulation of the view of the adversary, which enlarges the range of applications, but has been shown to either necessitate a secret key whose size grows with the number of ... See full document

... pa-iO from single-program ...transformation from single-program pa-iO to multi-program pa-iO is, however, different from the sequential setting to enable this ...employ functional ... See full document

... Instantiation: We show how to leverage PAFE for degree-5 arithmetic circuits to achieve iO, thus yielding the first iO construction from degree-5 multilinear maps. The crucial step in this transformation is to ... See full document

... witness encryption [GGSW13] on exponential hardness of some simple as- sumptions over multinear encodings—the “multilinear subgroup eliminations assumption” and the “multilinear subgroup decision ... See full document

... a simple one-round process, where decryption of the final ciphertext under the individual keys reveals the decryption under the shared ...an encryption of a function of the secret key under the public ... See full document

... deniable encryption scheme for the ...an obfuscation that takes as input encryptions of inputs of all the parties and computes the desired functionality on their ...with functional encryption ... See full document

... Program obfuscation has been a longstanding goal in cryptography, though for many years general solutions seemed ...eral indistinguishability obfuscation (iO) candidate by Garg, Gentry, Halevi, ... See full document

... 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

... of functions such as the identity function [39, 28, 17, 24, 46, 12, 51, 50], membership checking [25], boolean formulas [26, 89, 36], inner product functions [5, 36, 59] and more recently, even regular ... See full document

... homomorphic encryption [35, 14] which could be constructed from LWE ...hash functions from iO and OWF (even if iO uses OWF in a non-black-box ...iO from private-key functional ... 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 indistinguishability ... See full document

... on functions with single bit output, and their construction does not achieve our desired compactness property for the case of functions with long ... See full document

... on functional encryption schemes that support a single functional key, and where the encryption circuit grows sub-linearly in the circuit-size of the ...any indistinguishability ... See full document

... the indistinguishability obfuscation, we construct a self-bilinear map over the ...construction from GGH encoding system is ...a simple analysis about EDP in the polynomial ring and its ... See full document