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Randomness is Linear in Space

Journal of Computer and System SciencesPublished 1 February 1996
Noam Nisan, David Zuckerman
Citations652
SJR quartileQ1
SJR score1.03
SNIP1.08

TL;DR

Of independent interest is the main technical tool: a procedure which extracts randomness from a defective random source using a small additional number of truly random bits.

Abstract

We show that any randomized algorithm that runs in spaceSand timeTand uses poly(S) random bits can be simulated using onlyO(S) random bits in spaceSand timeT+poly(S). A deterministic simulation in spaceSfollows. Of independent interest is our main technical tool: a procedure which extracts randomness from a defective random source using a small additional number of truly random bits.

Keywords

Computer ScienceMathematics