On the error parameter of dispersers

Lecture Notes in Computer Science

Volumn 3624, Issue , 2005, Pages 294-305

  Gradwohl, Ronen ^a   Kindler, Guy ^b   Reingold, Orner ^a   Ta Shma, Amnon ^c  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ERRORS; GRAPH THEORY; PARAMETER ESTIMATION;

ERROR PARAMETERS; OPTIMAL EXTRACTORS; RAMSEY GRAPH CONSTRUCTION;

ERROR ANALYSIS;

EID: 26944464561     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11538462_25     Document Type: Conference Paper

References (18)

1. N. Alon, J. Bruck, J. Naor, M. Naor and R. Roth. Construction of asymptotically good, lowrate error-correcting codes through pseudo-random graphs. In Transactions on Information Theory, 38:509-516, 1992. IEEE.
2. Boaz Barak, Guy Kindler, Ronen Shaltiel, Benny Sudakov, and Avi Wigderson. Simulating independence: New constructions of condensers, Ramsey graphs, dispersere, and extractors. In 37th STOC, 2005.
3. Aviad Cohen and Avi Wigderson. Dispersers, deterministic amplification, and weak random sources. In Proc. of 30th FOCS, pages 14-19, 1989.
4. Oded Goldreich, Avi Wigderson. Tiny families of functions with random properties: a quality-size trade-off for hashing. Random Structures and Algorithms 11:4, 1997.
5. Nabil Kanale. Better expansion for Ramanujan graphs. In 33rd FOCS, 1992, pages 398-404.
6. A. Lubotzky, R. Phillips, and P. Sarnak. Explicit expanders and the Ramanujan conjectures. In 18th STOC, 1986, pages 240-246.
7. Noam Nisan and Amnon Ta-Shma. Extracting randomness: A survey and new constructions. Journal of Computer and System Sciences, 58(1):148-173, 1999.
8. Noam Nisan and David Zuckerman. More deterministic simulation in logspace. In 25th STOC, 1993, pages 235-244.
9. Ran Raz. Extractors with weak random seeds. In 37th STOC, 2005.
10. Jaikumar Radhakrishnan and Amnon Ta-Shma. Tight bounds for depth-two superconcentrators. In 38th FOCS, pages 585-594, Miami Beach, Florida, 20-22 October 1997. IEEE.
11. Ran Raz, Omer Reingold, and Salil Vadhan. Error reduction for extractors. In 40th FOCS, 1999. IEEE.
12. Omer Reingold, Salil Vadhan, and Avi Wigderson. Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors. In Proc. 41st FOCS, pages 3-13, 2000.
13. Michael Sipser. Expanders, randomness, or time versus space. Journal of Computer and System Sciences, 36(3):379-383, June 1988.
14. Aravind Srinivasan and David Zuckerman. Computing with very weak random sources. In 35th FOCS, 1994, pages 264-275.
15. Amnon Ta-Shma. Almost optimal dispersers. In 30th STOC, pages 196-202, Dallas, TX, May 1998. ACM.
16. Amnon Ta-Shma, Christopher Umans, and David Zuckerman. Loss-less condensers, unbalanced expanders, and extractors. In Proc. 33rd STOC, pages 143-152, 2001.
17. Amnon Ta-Shma and David Zuckerman. Personal communication.
18. David Zuckerman. General weak random sources. In 31st FOCS, 1990.