Thesis Defense: On Foundations of Public-Key Encryption and Secret Sharing
Date: Thursday, May 02, 2019
Time: 2:00 PM to 3:00 PM
Event Type: Thesis Defense
Host: Vinod Vaikuntanathan
Speaker URL: None
TALK: Thesis Defense: Akshay Degwekar, "On Foundations of Public-Key Encryption and Secret Sharing," Thursday, May 2 at 2pm!
Abstract: Since the inception of Cryptography, Information theory and Coding theory have influenced cryptography in myriad ways including numerous information-theoretic notions of security in secret sharing, multiparty computation and statistical zero knowledge; and by providing a large toolbox used extensively in cryptography. This thesis addresses two questions in this realm:
1. Leakage Resilience of Secret Sharing Schemes. We show that classical secret sharing schemes like Shamir secret sharing and additive secret sharing over prime order fields are leakage resilient. Leakage resilience of secret sharing schemes is closely related to locally repairable codes and our results can be viewed as impossibility results for local recovery over prime order fields. As an application of the result, we show the leakage resilience of a variant of the Goldreich-Micali-Wigderson protocol.
2. From Laconic Statistical Zero Knowledge Proofs to Public Key Encryption. Languages with statistical zero knowledge proofs that are also average-case hard have been used to construct various cryptographic primitives. We show that hard languages with laconic SZK proofs, that is proof systems where the communication from the prover to the verifier is small, imply public key encryption.
Committee: Vinod Vaikuntanathan(Adviser), Yael Kalai, Ron Rivest.
Created by Joanne Talbot Hanley at Monday, April 29, 2019 at 3:45 PM.