ACM Home Page
Please provide us with feedback. Feedback
The unified theory of pseudorandomness: guest column
Full text PdfPdf (489 KB)
Source
ACM SIGACT News archive
Volume 38 ,  Issue 3  (September 2007) table of contents
COLUMN: Complexity theory table of contents
Pages: 39 - 54  
Year of Publication: 2007
ISSN:0163-5700
Author
S. Vadhan  Harvard University, Cambridge, MA
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 44,   Citation Count: 1
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/1324215.1324225
What is a DOI?

ABSTRACT

We survey the close connections between a variety of "pseudorandom objects," namely pseudorandom generators, expander graphs, list-decodable error-correcting codes, randomness extractors, averaging samplers, and hardness amplifiers.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
 
3
M. Bellare and J. Rompel. Randomness-efficient oblivious sampling. In Proc. 35th FOCS, pages 276--287, 1994.
 
4
 
5
 
6
 
7
A. E. F. Clementi, J. D. P. Rolim, and L. Trevisan. Recent advances towards proving P=BPP. Bull. of the EATCS, 64:96--103, 1998.
 
8
 
9
 
10
O. Goldreich. A sample of samplers - a computational perspective on sampling (survey). Electronic Colloquium on Computational Complexity (ECCC), 4(20), 1997.
 
11
 
12
S. Goldwasser and S. Micali. Probabilistic encryption. J. Computer & System Sci., 28(2):270--299, Apr. 1984.
 
13
 
14
 
15
 
16
S. Hoory, N. Linial, and A. Wigderson. Expander graphs and their applications. Bull. of the AMS, 43(4):439--561, 2006.
 
17
V. Kabanets. Derandomization: a brief overview. Bull. of the EATCS, 76:88--103, 2002.
 
18
P. Miltersen. Handbook of Randomized Computing, chapter Derandomizing Complexity Classes. Kluwer, 2001.
 
19
 
20
 
21
 
22
 
23
 
24
R. Shaltiel. Recent developments in extractors. In Current Trends in Theoretical Computer Science, vol. 1: Algorithms and Complexity. World Scientific, 2004.
25
 
26
27
 
28
A. Ta-Shma and D. Zuckerman. Extractor codes. IEEE Trans. Information Theory, 50(12):3015--3025, 2004.
29
 
30
L. Trevisan. Some applications of coding theory in computational complexity. Quaderni di Matematica, 13:347--424, 2004.
 
31
 
32
S. Vadhan. Lecture notes on pseudorandomness. http://eecs.harvard.edu/~salil/cs225, Spring 2007.
 
33
A. C. Yao. Theory and applications of trapdoor functions (extended abstract). In Proc. 23rd FOCS, pages 80--91, 1982.
 
34
D. Zuckerman. Simulating BPP using a general weak random source. Algorithmica, 16(4/5):367--391, Oct./Nov. 1996.
 
35