메뉴 건너뛰기




Volumn , Issue , 2011, Pages 247-256

Dispersers for affine sources with sub-polynomial entropy

Author keywords

Dispersers; Explicit construction; Pseudorandomness; Randomness extractors

Indexed keywords

AFFINE SPACE; CHALLENGE RESPONSE; DISPERSERS; EXPLICIT CONSTRUCTIONS; GENERAL SOURCE; HIGH-LEVEL APPROACH; POLYNOMIAL-TIME COMPUTABLE FUNCTIONS; PSEUDORANDOMNESS; RANDOMNESS EXTRACTORS; WIN-WIN;

EID: 84863333239     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2011.37     Document Type: Conference Paper
Times cited : (31)

References (22)
  • 1
    • 77952022169 scopus 로고    scopus 로고
    • Simulating independence: New constructions of condensers, ramsey graphs, dispersers, and extractors
    • B. Barak, G. Kindler, R. Shaltiel, B. Sudakov, and A. Wigderson, "Simulating independence: New constructions of condensers, ramsey graphs, dispersers, and extractors," J. ACM, vol. 57, no. 4, 2010.
    • (2010) J. ACM , vol.57 , Issue.4
    • Barak, B.1    Kindler, G.2    Shaltiel, R.3    Sudakov, B.4    Wigderson, A.5
  • 2
    • 33748118575 scopus 로고    scopus 로고
    • 2-source dispersers for sub-polynomial entropy and ramsey graphs beating the frankl-wilson construction
    • B. Barak, A. Rao, R. Shaltiel, and A. Wigderson, "2-source dispersers for sub-polynomial entropy and ramsey graphs beating the frankl-wilson construction," in STOC, 2006, pp. 671-680.
    • (2006) STOC , pp. 671-680
    • Barak, B.1    Rao, A.2    Shaltiel, R.3    Wigderson, A.4
  • 3
    • 70350588635 scopus 로고    scopus 로고
    • Affine dispersers from subspace polynomials
    • E. Ben-Sasson and S. Kopparty, "Affine dispersers from subspace polynomials," in STOC, 2009, pp. 65-74.
    • (2009) STOC , pp. 65-74
    • Ben-Sasson, E.1    Kopparty, S.2
  • 4
    • 79959733663 scopus 로고    scopus 로고
    • From affine to two-source extractors via approximate duality
    • E. Ben-Sasson and N. Zewi, "From affine to two-source extractors via approximate duality," in STOC, 2011.
    • (2011) STOC
    • Ben-Sasson, E.1    Zewi, N.2
  • 5
    • 34247619858 scopus 로고    scopus 로고
    • On the construction of affine extractors
    • J. Bourgain, "On the construction of affine extractors," Geometric And Functional Analysis, vol. 17, no. 1, pp. 33-57, 2007.
    • (2007) Geometric and Functional Analysis , vol.17 , Issue.1 , pp. 33-57
    • Bourgain, J.1
  • 6
    • 84863299948 scopus 로고    scopus 로고
    • An elementary proof of 3n - O(n) lower bound on the circuit complexity of affine dispersers
    • Tech. Rep.
    • E. Demenkov and A. Kulikov, "An elementary proof of 3n - o(n) lower bound on the circuit complexity of affine dispersers," Electronic Colloquium on Computational Complexity, Tech. Rep., 2011.
    • (2011) Electronic Colloquium on Computational Complexity
    • Demenkov, E.1    Kulikov, A.2
  • 8
    • 58549103289 scopus 로고    scopus 로고
    • Deterministic extractors for affine sources over large fields
    • A. Gabizon and R. Raz, "Deterministic extractors for affine sources over large fields," Combinatorica, vol. 28, no. 4, pp. 415-440, 2008.
    • (2008) Combinatorica , vol.28 , Issue.4 , pp. 415-440
    • Gabizon, A.1    Raz, R.2
  • 9
    • 51849117297 scopus 로고    scopus 로고
    • Increasing the output length of zero-error dispersers
    • A. Gabizon and R. Shaltiel, "Increasing the output length of zero-error dispersers," in APPROX-RANDOM, 2008, pp. 430-443.
    • (2008) Approx-Random , pp. 430-443
    • Gabizon, A.1    Shaltiel, R.2
  • 13
    • 67650164537 scopus 로고    scopus 로고
    • Extractors for a constant number of polynomially small min-entropy independent sources
    • A. Rao, "Extractors for a constant number of polynomially small min-entropy independent sources," SIAM J. Comput., vol. 39, no. 1, pp. 168-194, 2009.
    • (2009) SIAM J. Comput. , vol.39 , Issue.1 , pp. 168-194
    • Rao, A.1
  • 15
    • 33750154710 scopus 로고    scopus 로고
    • Extracting randomness via repeated condensing
    • DOI 10.1137/S0097539703431032
    • O. Reingold, R. Shaltiel, and A. Wigderson, "Extracting randomness via repeated condensing," SIAM J. Comput., vol. 35, no. 5, pp. 1185-1209, 2006. (Pubitemid 44599923)
    • (2006) SIAM Journal on Computing , vol.35 , Issue.5 , pp. 1185-1209
    • Reingold, O.1    Shaltiel, R.2    Wigderson, A.3
  • 16
    • 0012579059 scopus 로고    scopus 로고
    • Recent developments in explicit constructions of extractors
    • R. Shaltiel, "Recent developments in explicit constructions of extractors," Bulletin of the EATCS, vol. 77, pp. 67-95, 2002.
    • (2002) Bulletin of the EATCS , vol.77 , pp. 67-95
    • Shaltiel, R.1
  • 17
    • 52349117291 scopus 로고    scopus 로고
    • How to get more mileage from randomness extractors
    • -, "How to get more mileage from randomness extractors," Random Struct. Algorithms, vol. 33, no. 2, pp. 157-186, 2008.
    • (2008) Random Struct. Algorithms , vol.33 , Issue.2 , pp. 157-186
    • Shaltiel, R.1
  • 18
    • 79959939914 scopus 로고    scopus 로고
    • An introduction to randomness extractors
    • -, "An introduction to randomness extractors," in ICALP (2), 2011, pp. 21-41.
    • (2011) ICALP , Issue.2 , pp. 21-41
    • Shaltiel, R.1
  • 19
    • 27844593208 scopus 로고    scopus 로고
    • Simple extractors for all min-entropies and a new pseudorandom generator
    • DOI 10.1145/1059513.1059516
    • R. Shaltiel and C. Umans, "Simple extractors for all minentropies and a new pseudorandom generator," J. ACM, vol. 52, no. 2, pp. 172-216, 2005. (Pubitemid 41655758)
    • (2005) Journal of the ACM , vol.52 , Issue.2 , pp. 172-216
    • Shaltiel, R.1    Umans, C.2
  • 20
    • 0036954126 scopus 로고    scopus 로고
    • Randomness extractors and their many guises
    • S. Vadhan, "Randomness extractors and their many guises," in FOCS, 2002, pp. 9-12.
    • (2002) FOCS , pp. 9-12
    • Vadhan, S.1
  • 21
    • 51849147757 scopus 로고    scopus 로고
    • The unified theory of pseudorandomness
    • S. P. Vadhan, "The unified theory of pseudorandomness," SIGACT News, vol. 38, no. 3, pp. 39-54, 2007.
    • (2007) SIGACT News , vol.38 , Issue.3 , pp. 39-54
    • Vadhan, S.P.1
  • 22
    • 80051983670 scopus 로고    scopus 로고
    • Affine extractors over prime fields
    • A. Yehudayoff, "Affine extractors over prime fields," Manuscript, 2010.
    • (2010) Manuscript
    • Yehudayoff, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.