Welcome to the resource topic for 2019/1025
Title:
On Perfect Correctness without Derandomization
Authors: Gilad Asharov, Naomi Ephraim, Ilan Komargodski, Rafael Pass
Abstract:We give a method to transform any indistinguishability obfuscator that suffers from correctness errors into an indistinguishability obfuscator that is \textit{perfectly} correct, assuming hardness of Learning With Errors (LWE). The transformation requires sub-exponential hardness of the obfuscator and of LWE. Our technique also applies to eliminating correctness errors in general-purpose functional encryption schemes, but here it is sufficient to rely on the polynomial hardness of the given scheme and of LWE. Both of our results can be based \textit{generically} on any perfectly correct, single-key, succinct functional encryption scheme (that is, a scheme supporting Boolean circuits where encryption time is a fixed polynomial in the security parameter and the message size), in place of LWE. Previously, Bitansky and Vaikuntanathan (EUROCRYPT ’17) showed how to achieve the same task using a derandomization-type assumption (concretely, the existence of a function with deterministic time complexity 2^{O(n)} and non-deterministic circuit complexity 2^{\Omega(n)}) which is non-game-based and non-falsifiable.
ePrint: https://eprint.iacr.org/2019/1025
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .