Pseudorandomness for Network Algorithms
Pseudorandomness for Network Algorithms Russell Impagliazzo
Noam Nisan y
Abstract We de ne pseudorandom generators for Yao's twoparty communication complexity model and exhibit a simple construction, based on expanders, for it. We then use a recursive composition of such generators to obtain pseudorandom generators that fool distributed network algorithms. While the construction and the proofs are simple, we demonstrate the generality of such generators by giving several applications.
1 Introduction The theory of pseudorandomness is aimed at understanding the minimum amount of randomness that a probabilistic model of computation actually needs. A typical result shows that n truly random bits used by the model can be replaced by n pseudorandom ones, generated deterministically from m
Noam Nisan y
Abstract We de ne pseudorandom generators for Yao's twoparty communication complexity model and exhibit a simple construction, based on expanders, for it. We then use a recursive composition of such generators to obtain pseudorandom generators that fool distributed network algorithms. While the construction and the proofs are simple, we demonstrate the generality of such generators by giving several applications.
1 Introduction The theory of pseudorandomness is aimed at understanding the minimum amount of randomness that a probabilistic model of computation actually needs. A typical result shows that n truly random bits used by the model can be replaced by n pseudorandom ones, generated deterministically from m
