247 search results - page 1 / 50 » Extracting All the Randomness from a Weakly Random Source |
ECCC
1998
13 years 4 months ago
1998
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 rst extracts any constant fraction ...
FOCS
2002
IEEE
13 years 9 months ago
2002
IEEE
Randomization is vital in cryptography: secret keys should be randomly generated and most cryptographic primitives (e.g., encryption) must be probabilistic. As a bstraction, it is...
CORR
2011
Springer
12 years 11 months ago
2011
Springer
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
FOCS
2004
IEEE
13 years 8 months ago
2004
IEEE
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
FOCS
2000
IEEE
13 years 9 months ago
2000
IEEE
Randomness extractors convert weak sources of randomness into an almost uniform distribution; the conversion uses a small amount of pure randomness. In algorithmic applications, t...