Conference paper
Hardness of learning DNFs using halfspaces
Suprovat Ghoshal, Rishi Saket
STOC 2021
We show the existence of indistinguishability obfuscators (iO) for general circuits assuming subexponential security of: (a) the Learning with Errors (LWE) assumption (with subexponential modulus-to-noise ratio); (b) a circular security conjecture regarding the Gentry-Sahai-Waters' (GSW) encryption scheme and a Packed version of Regev's encryption scheme. The circular security conjecture states that a notion of leakage-resilient security, that we prove is satisfied by GSW assuming LWE, is retained in the presence of an encrypted key-cycle involving GSW and Packed Regev.
Suprovat Ghoshal, Rishi Saket
STOC 2021
Boaz Barak, Ran Canetti, et al.
Journal of Cryptology
Boaz Barak, Ran Canetti, et al.
FOCS 2004