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Volumn 26, Issue 6, 2006, Pages 647-681

Reducing the seed length in the Nisan-Wigderson generator

Author keywords

68Q15

Indexed keywords


EID: 33847321516     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-006-0036-8     Document Type: Article
Times cited : (17)

References (34)
  • 1
    • 84947714938 scopus 로고    scopus 로고
    • A. E. ANDREEV, A. E. F. CLEMENTI and J. D. P. ROLIM: Hitting sets derandomize BPP, in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, Automata, Languages and Programming, 23rd International Colloquium, 1099 of Lecture Notes in Computer Science, pages 357-368, Paderborn, Germany, 8-12 July 1996, Springer-Verlag.
    • A. E. ANDREEV, A. E. F. CLEMENTI and J. D. P. ROLIM: Hitting sets derandomize BPP, in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, Automata, Languages and Programming, 23rd International Colloquium, volume 1099 of Lecture Notes in Computer Science, pages 357-368, Paderborn, Germany, 8-12 July 1996, Springer-Verlag.
  • 3
    • 0001338853 scopus 로고
    • BPP has subexponential time simulations unless EXPTIME has publishable proofs
    • L. BABAI, L. FORTNOW, N. NISAN and A. WIGDERSON: BPP has subexponential time simulations unless EXPTIME has publishable proofs, Computational Complexity 3(4) (1993), 307-318.
    • (1993) Computational Complexity , vol.3 , Issue.4 , pp. 307-318
    • BABAI, L.1    FORTNOW, L.2    NISAN, N.3    WIGDERSON, A.4
  • 4
    • 51249178917 scopus 로고
    • Independent unbiased coin flips from a correlated biased source - A finite state Markov chain
    • M. BLUM: Independent unbiased coin flips from a correlated biased source - A finite state Markov chain, Combinatorica 6(2) (1986), 97-108.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 97-108
    • BLUM, M.1
  • 5
    • 0021522644 scopus 로고
    • How to generate cryptographically strong sequences of pseudo-random bits
    • M. BLUM and S. MICALI: How to generate cryptographically strong sequences of pseudo-random bits, SIAM Journal on Computing 13(4) (1984), 850-864.
    • (1984) SIAM Journal on Computing , vol.13 , Issue.4 , pp. 850-864
    • BLUM, M.1    MICALI, S.2
  • 6
    • 0002739272 scopus 로고
    • On the power of two-point based sampling
    • B. CHOR and O. GOLDREICH: On the power of two-point based sampling, Journal of Complexity 5(1) (1989), 96-106.
    • (1989) Journal of Complexity , vol.5 , Issue.1 , pp. 96-106
    • CHOR, B.1    GOLDREICH, O.2
  • 10
    • 0029516814 scopus 로고
    • Hard-core distributions for somewhat hard problems
    • Milwaukee, Wisconsin, 23-25 October, IEEE
    • R. IMPAGLIAZZO: Hard-core distributions for somewhat hard problems, in 36th Annual Symposium on Foundations of Computer Science, pages 538-545, Milwaukee, Wisconsin, 23-25 October 1995, IEEE.
    • (1995) 36th Annual Symposium on Foundations of Computer Science , pp. 538-545
    • IMPAGLIAZZO, R.1
  • 14
    • 0035734550 scopus 로고    scopus 로고
    • Randomness vs time: Derandomization under a uniform assumption
    • R. IMPAGLIAZZO and A. WIGDERSON: Randomness vs time: Derandomization under a uniform assumption, Journal of Computer and System Sciences 63(4) (2001), 672-688.
    • (2001) Journal of Computer and System Sciences , vol.63 , Issue.4 , pp. 672-688
    • IMPAGLIAZZO, R.1    WIGDERSON, A.2
  • 15
    • 0036588881 scopus 로고    scopus 로고
    • Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • A. R. KLIVANS and D. VAN MELKEBEEK: Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses, SIAM Journal on Computing 31(5) (2002), 1501-1526.
    • (2002) SIAM Journal on Computing , vol.31 , Issue.5 , pp. 1501-1526
    • KLIVANS, A.R.1    VAN MELKEBEEK, D.2
  • 17
    • 0029697053 scopus 로고    scopus 로고
    • Extracting randomness: How and why: A survey
    • Philadelphia, Pennsylvania, 24-27 May, IEEE Computer Society Press
    • N. NISAN: Extracting randomness: How and why: A survey, in Proceedings, Eleventh Annual IEEE Conference on Computational Complexity, pages 44-58, Philadelphia, Pennsylvania, 24-27 May 1996, IEEE Computer Society Press.
    • (1996) Proceedings, Eleventh Annual IEEE Conference on Computational Complexity , pp. 44-58
    • NISAN, N.1
  • 18
    • 0033075850 scopus 로고    scopus 로고
    • Extracting randomness: A survey and new constructions
    • N. NISAN and A. TA-SHMA: Extracting randomness: A survey and new constructions, Journal of Computer and System Sciences 58(1) (1999), 148-173.
    • (1999) Journal of Computer and System Sciences , vol.58 , Issue.1 , pp. 148-173
    • NISAN, N.1    TA-SHMA, A.2
  • 22
    • 0038309373 scopus 로고    scopus 로고
    • Extracting all the randomness and reducing the error in Trevisan's extractors
    • R. RAZ, O. REINGOLD and S. VADHAN: Extracting all the randomness and reducing the error in Trevisan's extractors, Journal of Computer and System Sciences 65(1) (2002), 97-128.
    • (2002) Journal of Computer and System Sciences , vol.65 , Issue.1 , pp. 97-128
    • RAZ, R.1    REINGOLD, O.2    VADHAN, S.3
  • 24
    • 0002956996 scopus 로고    scopus 로고
    • Bounds for dispersers, extractors, and depth-two superconcentrators
    • J. RADHAKRISHNAN and A. TA-SHMA: Bounds for dispersers, extractors, and depth-two superconcentrators; SIAM Journal on Discrete Mathematics 13(1) (2000), 2-24.
    • (2000) SIAM Journal on Discrete Mathematics , vol.13 , Issue.1 , pp. 2-24
    • RADHAKRISHNAN, J.1    TA-SHMA, A.2
  • 28
    • 0021469810 scopus 로고
    • Generating quasi-random sequences from semirandom sources
    • M. SANTHA and U. V. VAZIRANI: Generating quasi-random sequences from semirandom sources, Journal of Computer and System Sciences 33(1) (1986), 75-87.
    • (1986) Journal of Computer and System Sciences , vol.33 , Issue.1 , pp. 75-87
    • SANTHA, M.1    VAZIRANI, U.V.2
  • 29
    • 0005314594 scopus 로고    scopus 로고
    • Extractors and pseudorandom generators
    • L. TREVISAN: Extractors and pseudorandom generators, Journal of the ACM 48(4) (2001), 860-879.
    • (2001) Journal of the ACM , vol.48 , Issue.4 , pp. 860-879
    • TREVISAN, L.1
  • 33
    • 0020301290 scopus 로고
    • Theory and applications of trapdoor functions (extended abstract)
    • Chicago, Illinois, 3-5 November, IEEE
    • A. C. YAO: Theory and applications of trapdoor functions (extended abstract), in 23rd Annual Symposium on Foundations of Computer Science, pages 80-91, Chicago, Illinois, 3-5 November 1982, IEEE.
    • (1982) 23rd Annual Symposium on Foundations of Computer Science , pp. 80-91
    • YAO, A.C.1
  • 34
    • 0031507665 scopus 로고    scopus 로고
    • Randomness-optimal oblivious sampling
    • D. ZUCKERMAN: Randomness-optimal oblivious sampling, Random Structures & Algorithms 11(4) (1997), 345-367.
    • (1997) Random Structures & Algorithms , vol.11 , Issue.4 , pp. 345-367
    • ZUCKERMAN, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.