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How to get more mileage from randomness extractors - Wiley Online
Apr 2, 2008 ... How to Get More Mileage From. Randomness Extractors. Ronen Shaltiel*. Department of Computer Science, University of Haifa,. Mount Carmel ...
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How to get more mileage from randomness extractors - CiteSeerX
How to get more mileage from randomness extractors. Ronen Shaltiel∗. University of Haifa. Haifa 31905,[email protected]. Abstract. Let C be a class ...
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How to get more mileage from randomness extractors
How to get more mileage from randomness extractors. Ronen Shaltiel. ∗. University of Haifa. Haifa 31905,[email protected]. Abstract. Let C be a class ...
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An introduction to randomness extractors
Ronen Shaltiel⋆. University of Haifa ... that computers have access to a sequence of truly random bits (that is a se- ... Randomness extractors are algorithms that when given one sample from a weak ... Definition 1 (Statistical distance). .... 1 It is natural to compare min-entropy with the more standard Shannon entropy given.
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explicit versions of Yao's lemma
Mar 7, 2010 ... Ronen Shaltiel†. University of Haifa ... We introduce a new type of (seedless) extractors that extract randomness from distributions .... high probability on every input, explicitly construct a deterministic algorithm B (with roughly the same .... access to randomness receive one-way access to both the input x ...
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Increasing the Output Length of Zero-Error Dispersers
Ariel Gabizon1 and Ronen Shaltiel2. 1 Department of ... 2 Department of Computer Science, Haifa University, Haifa, Israel ⋆⋆. Abstract. Let C be a class .... [3], and Shaltiel [29] studied sources that are composed of several independent samples from ...... 29. R. Shaltiel. How to get more mileage from randomness extractors.
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An Introduction to Randomness Extractors - Springer
We give an introduction to the area of “randomness extraction” and survey the main concepts of this area: deterministic extractors, seeded extractors and multiple sources extractors. ..... Shaltiel, R.: How to get more mileage from randomness extractors. .... Ronen Shaltiel (19). Author Affiliations. 19. University of Haifa, Israel ...
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Weak Derandomization of Weak Algorithms: Explicit Versions of
... randomized decision trees (here we improve a previous result by Zimand), ... We introduce a new type of (seedless) extractors that extract randomness from ... Derandomization randomness extractors pseudorandomness ..... 1. Department of Computer Science, University of Haifa, Mount Carmel, 31905, Haifa, Israel ...
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Extracting Randomness via Repeated Condensing∗
Ronen Shaltiel‡ ... Science, University of Haifa, Haifa 31905, Israel. [email protected] haifa.ac.il. ... “randomness extractors” that given a sample from an arbitrary source of ... distance between the extracted bits and truly uniform ones. ... increase the fraction extracted at the cost of enlarging the seed length was given in [WZ93]. The.
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2-Source Dispersers for no(1) Entropy, and Ramsey - Boaz Barak
Jul 22, 2008 ... As a corollary, we get a construction of a 22log1−α0 n ... ‡Ronen Shaltiel, University of Haifa, Mount Carmel, Haifa, Israel, ... 2.4 Identifying high entropy parts in the source . ... of randomness extractors and randomness dispersers. .... 5The statistical distance of two distributions W, Z over some range R, ...
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Computational Analogues of Entropy - Boaz Barak
Ronen Shaltiel† ... Let X be a distribution with high computational min-entropy. Does one get a pseudo- random distribution when applying a “randomness extractor” on X? .... they define a distribution to have pseudoentropy k is it is indistinguishable from ... metric on distributions, the statistical distance4 (which is basically 1.
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Simulating Independence: New Constructions of - Boaz Barak
Mar 8, 2010 ... Ronen Shaltiel§ ... §Department of Computer Science, University of Haifa, Israel,[email protected]. ... 3.1.1 Sources, min-entropy, entropy rate and statistical distance . .... The goal of this research is to design a “randomness extractor ... one source with high entropy, we have several independent ones.
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New constructions of condensers, ramsey graphs, dispersers, and
We present new explicit constructions of deterministic randomness extractors, ... 91904, Israel, e-mail:[email protected]; R. Shaltiel, University of Haifa, Mount Carmel, Haifa .... that instead ofonesource with high entropy, we have several independent ones. This ... The distance from the uniform distribution is measured.
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Low-end uniform hardness vs. randomness tradeoffs for AM
May 8, 2008 ... Ronen Shaltiel. ∗. Department of Computer Science. University of Haifa ... with a novel use of extractors that are built from Reed-Muller codes for a sort ... power of randomness in Arthur-Merlin protocols is: Is it true that .... compute any function in EXP).3 Obtaining a high-end version of this result is still open.
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2-Source Dispersers for Sub-Polynomial Entropy and Ramsey
‡Ronen Shaltiel, University of Haifa, Mount Carmel, Haifa, ... derandomization), extractors have found applications in a variety of areas in theoretical computer ...
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Pseudorandom Generators, Typically-Correct - Pages
Aug 16, 2010 ... University of Haifa ... We use our approach to obtain both conditional and unconditional typically- ... typically-correct derandomizations that are more efficient than the ... the shelf” randomness extractors, Shaltiel managed to reproduce .... computed by the algorithm is within distance δ(n) of the function ...
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Incompressible Functions, Relative-Error Extractors, and the Power
Haifa University, Haifa, Israel,[email protected],[email protected]. 3 ... nondeterministic reductions (or even Σi reductions) cannot get ϵ = n−ω(1) for boolean incom- ... Keywords and phrases compression, pseudorandomness, extractors, ... Benny Applebaum, Sergei Artemenko, Ronen Shaltiel, and Guang Yang;.
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journal version - Computer Science - Memorial University
Aug 14, 2014 ... Ronen Shaltiel§ ... find in deterministic time poly(2n) a circuit C (no restriction on the type of C) ... Science, University of Haifa, Haifa, Israel;[email protected] ..... random restrictions (by using randomness extractors), and use the .... are at most L codewords in C within the Hamming distance at most ρn.
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A model and architecture for pseudo-random generation with
Sep 1, 2005 ... Princeton University ... Randomness is a very useful resource, and nowhere more than in cryptographic ... obtaining random bits (called pseudo-random generators) are often not ..... extensive research on randomness extractors as surveyed in [Sha04]. ...... Boaz Barak, Ronen Shaltiel, and Eran Tromer.
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Pseudorandom Generators, Typically-Correct Derandomization, and
Jul 12, 2009 ... done while visiting the University of Haifa and the Weizmann Institute ... Email:[email protected]. .... the shelf” randomness extractors, Shaltiel managed to reproduce ... However, we find the term “seed-extending” more informative. .... within distance δ(n) of the function L. For two classes of languages C1 ...
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Non-interactive Timestamping in the Bounded-Storage - Tal Moran
Ronen Shaltiel2. Department of Computer Science, University of Haifa, Haifa,[email protected] ... Randomness extractors. * A preliminary ... netta [3] improve upon the linking scheme, reducing the communication and storage ...... a timestamp which is far in Hamming distance than the correct one, then with high.
[ MST09-timestamping-full.pdf - Read/Download File

Parallel Hashing via List Recoverability⋆
Iftach Haitner1, Yuval Ishai2, Eran Omri3, and Ronen Shaltiel4 ... 4 Haifa University, Haifa, Israel, ... list-decodable codes that is closely related to the notion of randomness .... Such a construction should maintain the security of the underlying hash func- .... be a well-ordered, (α, ℓ, L)-list recoverable code of distance α. De-.
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