Deterministic Extractors for Independent-Symbol Sources
نویسندگان
چکیده
منابع مشابه
Deterministic Extractors for Algebraic Sources
An algebraic source is a random variable distributed uniformly over the set of common zeros of one or more multivariate polynomials defined over a finite field F. Our main result is the construction of an explicit deterministic extractor for algebraic sources over exponentially large prime fields. More precisely, we give an explicit (and arguably simple) function E : Fn 7→ {0, 1}m such that the...
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We propose a new model of a weakly random source that admits randomness extraction. Our model of additive sources includes such natural sources as uniform distributions on arithmetic progressions (APs), generalized arithmetic progressions (GAPs), and Bohr sets, each of which generalizes affine sources. We give an explicit extractor for additive sources with linear minentropy over both Zp and Z ...
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We give an efficient deterministic algorithm that extracts Ω(n2γ) almost-random bits from sources where n 1 2 +γ of the n bits are uniformly random and the rest are fixed in advance. This improves upon previous constructions, which required that at least n/2 of the bits be random in order to extract many bits. Our construction also has applications in exposure-resilient cryptography, giving exp...
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Randomness is used in many places in our daily lives. Some examples are gambling, statistics, algorithms, cryptography etc. For such applications one typically assumes a supply of completely unbiased and independent randim bits. This raises the problem of where to get these assumed random bits from. We could try and use natural sources of randomness such as sun spots, the stock market or the we...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2010
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2010.2079012