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Randomness is linear in space


Author(s) : David Zuckerman Noam Nisan, 
Publisher : N/A
Publication Date : 1996
ISSN : N/A
Abstract : We show that any randomized algorithm that runs in space S and time T and uses poly(S) random bits can be simulated using only O(S) random bits in space S and time T + poly(S). A deterministic simulation in space S follows. 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. 1,