Institute of Information Science Academia Sinica
Topic: Recent Progress on Parallel Repetition
Speaker: Dr. Kai-Ming Chung (Dept. of CS, Cornell University)
Date: 2012-03-28 (Wed) 10:30 – 12:00
Location: Auditorium 106 at new IIS Building
Host: Tsan-sheng Hsu

Abstract:

    

Cryptographic protocols have been developed for a variety of tasks, including verifiable delegation of computation, electronic voting system, privacy preserving data mining and more. A central method for constructing such protocols is to first construct a “basic”protocol satisfying a weak level of security, and then amplify the security of the protocol by running multiple instances of the basic protocol in parallel; this is referred to as a “parallel repetition.”

In this talk we present general *parallel repetition theorems*, identifying general classes of protocols for which such parallel repetition amplifies the security level, while at the same time determining the optimal number of parallel repetitions, and the amount of extra randomness needed, to perform such security amplification.

Taken together, these results resolve several questions left open in the seminal works of [Bellare, Goldreich, Goldwasser, FOCS’90], and [Bellare, Impagliazzo, Naor, FOCS’97].