Derandomization
Overviews
Derandomizing complexity classes
(Book chapter in Handbook of Randomized Computing, P B Miltersen)
Recent Developments in Explicit Constructions of Extractors
(Ronen Shaltiel)
Derandomization: A Brief Overview
(Vladimir Kabanets (in CC column), 2004)
Courses
Derandomization
(Princeton, 2003, Amit Sahai)
Papers
Almost Optimal Dispersers
(Amnon Ta-Shma, 1998)
Random Walks, Conditional Hitting Sets and Partial Derandomization
(Dimitris A. Fotakis, Paul G. Spirakis, ECCC TR98-049, 1998)
Extracting Randomness: A Survey and New Constructions
(Noam Nisan, Amnon Ta-Shma, 1998)
1999
Extracting all the Randomness and Reducing the Error in Trevisan's Extractors
(Ran Raz, Omer Reingold, Salil Vadhan, 1999)
Extractors and Pseudo-Random Generators With Optimal Seed Length
( Russell Impagliazzo, Ronen Shaltiel, et al., 1999)
Improved Derandomization of BPP Using a Hitting Set Generator
(Oded Goldreich, Avi Wigderson, RANDOM-APPROX 1999)
Weak Random Sources, Hitting Sets, and BPP Simulations
(Alexander Andreev, Andrea E. F. Clementi, Jose D.P. Rolim, Luca Trevisan, SIAM Journal of Computing, 1999)
Derandomizing Arthur-Merlin Games Using Hitting Sets
(Peter Bro Miltersen and N.V. Vinodchandran, FOCS 1999)
Near-Optimal Conversion of Hardness into Pseudo-Randomness
(Impagliazzo, Shaltiel, Wigderson, FOCS 1999)
2000
Extracting Randomness via Repeated Condensing
(Omer Reingold, Ronen Shaltiel, Avi Wigderson, FOCS 2000)
Simplified Derandomization of BPP Using a Hitting Set Generator
( Oded Goldreich, Salil Vadhan, Avi Wigderson, ECCC TR00-004, 2000)
2001
Extractors and Pseudorandom Generators
(L Trevisan, 2001)
On the Derandomization of Constant Depth Circuits
(Adam R. Klivans, RANDOM 2001)
Simple polynomially "optimal" HSG
Simple Extractors for All Min-Entropies and a New Pseudo-Random Generator
(R. Shaltiel and C. Umans, FOCS 2001)
2002
On Constructing Locally Computable Extractors and Cryptosystems In The Bounded Storage Model
(Salil Vadhan, 2002)
Extractors: Optimal up to Constant Factors
(Chi-Jen Lu, Omer Reingold, Salil Vadhan)
Graph Nonisomorphism Has Subexponential Size Proofs Unless The Polynomial-Time Hierarchy Collapses
(A. Klivans and D. van Melkebeek, SIAM JoC, 2002)
Polynomially "optimal" PRG (and HSG)
Pseudo-Random Generators for All Hardnesses
(Chris Umans, STOC/CCC 2002)
2003
Holographic Proofs and Derandomization
(Dieter van Melkebeek, Rahul Santhanam, CCC 2003)
Deterministic Extractors for Bit-Fixing Sources and Exposure-Resilient Cryptography
(Jesse Kamp, David Zuckerman, FOCS 2003)
2004
List-Decoding of Linear Functions and Analysis of a Two-Round Zero-Knowledge Argument
(Cynthia Dwork, Ronen Shaltiel, Adam Smith, and Luca Trevisan, TCC 2004)
Some Results on Derandomization
(Harry Buhrman, Lance Fortnow, A. Pavan, 2004)
Simple Extractors for All Min-Entropies and a New Pseudorandom Generator
(Ronen Shaltiel, Christopher Umans, 2004)
Extractors with Weak Random Seeds
(Ran Raz, ECCC TR04-099)
Deterministic Extractors for Bit-Fixing Sources by Obtaining an Independent Seed
(Ariel Gabizon, Ran Raz, Ronen Shaltiel, FOCS 2004)
2005
STOC 2005
Extractors with Weak Random Seeds
(Ran Raz, STOC 2005)
Derandomization of Auctions
(Gagan Aggarwal, Amos Fiat, Andrew Goldberg, Jason Hartline, Nicole Immorlica, Madhu Sudan, STOC 2005)
Correcting Errors Without Leaking Partial Information
(Yevgeniy Dodis and Adam Smith, STOC 2005)
Simulating independence: New constructions of condensers, Ramsey graphs, dispersers and extractors
(Boaz Barak, Guy Kindler, Ronen Shaltiel, Benny Sudakov, Avi Wigderson, STOC 2005)
Deterministic Extractors for Affine Sources over Large Fields
(Ariel Gabzon, Ran Raz, 2005)
Derandomization of PPSZ for Unique-$k$-SAT
(Daniel Rolf, ECCC TR05-027)
On the Error Parameter of Dispersers, Ronen Gradwohl, Guy Kindler, Omer Reingold, Amnon Ta-Shma, ECCC TR05-061
(04.06.05)
Simple extractors via constructions of cryptographic pseudo-random generators
(Marius Zimand, ECCC TR05-071)
Derandomized Squaring of Graphs
(Eyal Rozenman, Salil Vadhan, ECCC TR05-092)
Linear Degree Extractors and the Inapproximability of Max Clique and Chromatic Number
(David Zuckerman, ECCC TR05-100)
Extracting Kolmogorov Complexity with Applications to Dimension Zero-One Laws
(Lance Fortnow, John M. Hitchcock, A. Pavan, N.V. Vinodchandran, Fengming Wang, ECCC TR05-105)
Extractors for a Constant Number of Polynomial Min-Entropy Independent Sources
(Anup Rao, ECCC TR05-106)
Deterministic Extractors for Affine Sources over Large Fields
(Ariel Gabizon, Ran Raz, ECCC TR05-108)
Deterministic Extractors for Bit-fixing Sources by Obtaining an Independent Seed
(Ariel Gabizon, Ran Raz, Ronen Shaltiel, ECCC TR05-109)
Derandomization in Cryptography
(Boaz Barak, Shien Jin Ong, Salil Vadhan, ECCC TR05-114 (full version))
People
Oded Goldreich
(Weizmann)
Russell Impagliazzo
(UC San Diego)
Adam Klivans
(Toyota Technological Institute)
Dieter van Melkebeek
(U Wisconsin Madison)
Peter Bro Miltersen
(Aarhus)
Noam Nisan
(Hebrew U)
Omer Reingold
(Weizmann)
Ronen Shaltiel
(Weizmann)
Amnon Ta-Shma
(Tel-Aviv U)
Luca Trevisan
(UC Berkeley)
Chris Umans
(Caltech)
Salil Vadhan
(Harvard)
Avi Widgerson
(IAS)
@
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Cryptology Pointers
by
Helger Lipmaa
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(C) Helger Lipmaa 1997-2009.