Title
Deterministic Extractors for Bit-Fixing Sources and Exposure-Resilient Cryptography
Abstract
We give an efficient deterministic algorithm which extracts \Omega (n^{2\gamma } ) almost-random bits from sources where n^{\frac{1}{2} + \gamma } of the n bits are uniformly random and the rest are fixed in advance. This improves on previous constructions which required that at least n/2 of the bits be random. Our construction also gives explicit adaptive exposure-resilient functions and in turn adaptive all-or-nothing transforms. For sources where instead of bits the values are chosen from [d], for d 2, we give an algorithm which extracts a constant fraction of the randomness. We also give bounds on extracting randomness for sources where the fixed bits can depend on the random bits..
Year
DOI
Venue
2007
10.1137/S0097539705446846
SIAM Journal on Computing
Keywords
DocType
Volume
deterministic extractors,n bit,exposure-resilient cryptography,explicit adaptive exposure-resilient function,random bit,randomness,previous construction,bit-fixing sources,bits from sources where n key words. extractors,turn adaptive all-or-nothing,exposure-resilient,random walks,adaptive all-or-nothing,constant fraction,almost-random bit,efficient deterministic algorithm,cryp- tography,resilient function,fixed bit,deterministic,cryptography,random processes,random walk
Journal
36
Issue
ISSN
ISBN
5
0272-5428
0-7695-2040-5
Citations 
PageRank 
References 
69
3.12
20
Authors
2
Name
Order
Citations
PageRank
Jesse Kamp11378.60
David Zucherman22588266.65