Extracting all the Randomness from a Weakly Random Source
Name
MIT-LCS-TM-585.pdf
Size
2.02 MB
Format
Adobe PDF
Checksum (MD5)
55232bfcd4f8ec4968ef945ee68ad1cd
Author(s)
Vadhan, Salil
Date Issued
August 1998
Series/Report no.
MIT-LCS-TM-585
Abstract
In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The first extracts any constant fraction of the min-entropy using O(log^2 n) additional random bits. The second extracts all the min-entropy using O(log 3 n) additional random bits. Both constructions use fewer truly random bits than any previous. construction which works for all min-entropies ans extracts a constant fraction of the min-entropy.
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