Generating quasi-random sequences from semi-random sources
Journal of Computer and System Sciences
Deterministic simulation in LOGSPACE
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Efficiency considerations in using semi-random sources
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Unbiased bits from sources of weak randomness and probabilistic communication complexity
SIAM Journal on Computing - Special issue on cryptography
Journal of Computer and System Sciences
Eigenvalues and expansion of regular graphs
Journal of the ACM (JACM)
Journal of Computer and System Sciences
Explicit OR-dispersers with polylogarithmic degree
Journal of the ACM (JACM)
Randomness-optimal oblivious sampling
Proceedings of the workshop on Randomized algorithms and computation
A Chernoff Bound for Random Walks on Expander Graphs
SIAM Journal on Computing
Extracting randomness: a survey and new constructions
Journal of Computer and System Sciences
Bounds for Dispersers, Extractors, and Depth-Two Superconcentrators
SIAM Journal on Discrete Mathematics
Extractors and pseudorandom generators
Journal of the ACM (JACM)
Randomness conductors and constant-degree lossless expanders
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Extracting all the randomness and reducing the error in Trevisan's extractors
Journal of Computer and System Sciences - STOC 1999
Extractors: optimal up to constant factors
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Extracting randomness from samplable distributions
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Simple extractors for all min-entropies and a new pseudorandom generator
Journal of the ACM (JACM)
Extractors with weak random seeds
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Correcting Errors Beyond the Guruswami-Sudan Radius in Polynomial Time
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Extractors from Reed-Muller codes
Journal of Computer and System Sciences - Special issue on FOCS 2001
Constructing Ramsey Graphs from Boolean Function Representations
CCC '06 Proceedings of the 21st Annual IEEE Conference on Computational Complexity
Deterministic Extractors for Bit-Fixing Sources and Exposure-Resilient Cryptography
SIAM Journal on Computing
Algorithmic results in list decoding
Foundations and Trends® in Theoretical Computer Science
The unified theory of pseudorandomness: guest column
ACM SIGACT News
Deterministic Extractors for Bit-Fixing Sources by Obtaining an Independent Seed
SIAM Journal on Computing
Extracting Randomness Using Few Independent Sources
SIAM Journal on Computing
The bit extraction problem or t-resilient functions
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Random polynomial time is equal to slightly-random polynomial time
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
How to get more mileage from randomness extractors
Random Structures & Algorithms
Increasing the Output Length of Zero-Error Dispersers
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
Extractors for Three Uneven-Length Sources
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Extractors And Rank Extractors For Polynomial Sources
Computational Complexity
Affine dispersers from subspace polynomials
Proceedings of the forty-first annual ACM symposium on Theory of computing
Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes
Journal of the ACM (JACM)
Computational Complexity: A Modern Approach
Computational Complexity: A Modern Approach
Extractors for Low-Weight Affine Sources
CCC '09 Proceedings of the 2009 24th Annual IEEE Conference on Computational Complexity
CCC '09 Proceedings of the 2009 24th Annual IEEE Conference on Computational Complexity
Weak Derandomization of Weak Algorithms: Explicit Versions of Yao's Lemma
CCC '09 Proceedings of the 2009 24th Annual IEEE Conference on Computational Complexity
Pseudorandom Generators and Typically-Correct Derandomization
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Extractors for a Constant Number of Polynomially Small Min-Entropy Independent Sources
SIAM Journal on Computing
Simulating independence: New constructions of condensers, ramsey graphs, dispersers, and extractors
Journal of the ACM (JACM)
Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
2-Source Extractors under Computational Assumptions and Cryptography with Defective Randomness
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Simple Affine Extractors Using Dimension Expansion
CCC '10 Proceedings of the 2010 IEEE 25th Annual Conference on Computational Complexity
Deterministic extractors for small-space sources
Journal of Computer and System Sciences
From affine to two-source extractors via approximate duality
Proceedings of the forty-third annual ACM symposium on Theory of computing
Improved Constructions of Three Source Extractors
CCC '11 Proceedings of the 2011 IEEE 26th Annual Conference on Computational Complexity
A New Approach to Affine Extractors and Dispersers
CCC '11 Proceedings of the 2011 IEEE 26th Annual Conference on Computational Complexity
Generalized strong extractors and deterministic privacy amplification
IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
IEEE Transactions on Information Theory
Extractors and Lower Bounds for Locally Samplable Sources
ACM Transactions on Computation Theory (TOCT)
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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. For each one we briefly discuss background, definitions, explicit constructions and applications.