Title
Robust pseudorandom generators
Abstract
Let G:{0,1}n→{0,1}m be a pseudorandom generator. We say that a circuit implementation of G is (k,q)-robust if for every set S of at most k wires anywhere in the circuit, there is a set T of at most q|S| outputs, such that conditioned on the values of S and T the remaining outputs are pseudorandom. We initiate the study of robust PRGs, presenting explicit and non-explicit constructions in which k is close to n, q is constant, and mn. These include unconditional constructions of robust r-wise independent PRGs and small-bias PRGs, as well as conditional constructions of robust cryptographic PRGs. In addition to their general usefulness as a more resilient form of PRGs, our study of robust PRGs is motivated by cryptographic applications in which an adversary has a local view of a large source of secret randomness. We apply robust r-wise independent PRGs towards reducing the randomness complexity of private circuits and protocols for secure multiparty computation, as well as improving the "black-box complexity" of constant-round secure two-party computation.
Year
DOI
Venue
2013
10.1007/978-3-642-39206-1_49
ICALP
Keywords
DocType
Volume
private circuit,black-box complexity,robust cryptographic prgs,robust r-wise independent prgs,robust prgs,cryptographic application,constant-round secure two-party computation,robust pseudorandom generator,k wire,circuit implementation,small-bias prgs
Journal
2013
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
41
7
Name
Order
Citations
PageRank
Yuval Ishai14364246.22
Eyal Kushilevitz25525478.96
Xin Li310.72
Rafail Ostrovsky48743588.15
Manoj Prabhakaran500.34
Amit Sahai613566545.52
David Zucherman72588266.65