메뉴 건너뛰기




Volumn 7, Issue 1-3, 2011, Pages 1-336

Pseudorandomness

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE NUMBER THEORY; COMBINATORICS; ERROR CORRECTING CODE; EXPANDER GRAPHS; GRADUATE LEVEL COURSE; PSEUDO RANDOM; PSEUDORANDOM GENERATORS; PSEUDORANDOMNESS; RANDOMNESS EXTRACTORS;

EID: 79959318476     PISSN: 1551305X     EISSN: 15513068     Source Type: Journal    
DOI: 10.1561/0400000010     Document Type: Article
Times cited : (460)

References (428)
  • 5
    • 15944413051 scopus 로고    scopus 로고
    • Primality and identity testing via Chinese remaindering
    • DOI 10.1145/792538.792540
    • M. Agrawal and S. Biswas, "Primality and identity testing via Chinese remaindering," Journal of the ACM, vol. 50, no. 4, pp. 429-443, 2003. (Pubitemid 43906332)
    • (2003) Journal of the ACM , vol.50 , Issue.4 , pp. 429-443
    • Agrawal, M.1    Biswas, S.2
  • 6
    • 15944367466 scopus 로고    scopus 로고
    • PRIMES is in P
    • M. Agrawal, N. Kayal, and N. Saxena, "PRIMES is in P," Annals of Mathematics. Second Series, vol. 160, no. 2, pp. 781-793, 2004. (Pubitemid 40447851)
    • (2004) Annals of Mathematics , vol.160 , Issue.2 , pp. 781-793
    • Agrawal, M.1    Kayal, N.2    Saxena, N.3
  • 7
    • 58049118510 scopus 로고    scopus 로고
    • Arithmetic circuits: A chasm at depth four
    • M. Agrawal and V. Vinay, "Arithmetic circuits: A chasm at depth four," in FOCS, pp. 67-75, 2008
    • (2008) FOCS , pp. 67-75
    • Agrawal, M.1    Vinay, V.2
  • 10
    • 51249184131 scopus 로고
    • Sorting in c logn parallel steps
    • M. Ajtai, J. Komlós, and E. Szemerédi, "Sorting in c logn parallel steps," Combinatorica, vol. 3, no. 1, pp. 1-19, 1983.
    • (1983) Combinatorica , vol.3 , Issue.1 , pp. 1-19
    • Ajtai, M.1    Komlós, J.2    Szemerédi, E.3
  • 12
    • 35048821800 scopus 로고
    • Deterministic simulation of probabilistic constant depth circuits
    • of Advances in Computing Research, (F. P. Preparata and S. Micali, eds.)
    • M. Ajtai and A. Wigderson, "Deterministic simulation of probabilistic constant depth circuits," in Randomness and Computation, vol. 5 of Advances in Computing Research, (F. P. Preparata and S. Micali, eds.), pp. 199-223, 1989.
    • (1989) Randomness and Computation , vol.5 , pp. 199-223
    • Ajtai, M.1    Wigderson, A.2
  • 15
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • N. Alon, "Eigenvalues and expanders," Combinatorica, vol. 6, no. 2, pp. 83-96, 1986.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 83-96
    • Alon, N.1
  • 16
    • 51249178048 scopus 로고
    • Eigenvalues, geometric expanders, sorting in rounds, and Ramsey theory
    • N. Alon, "Eigenvalues, geometric expanders, sorting in rounds, and Ramsey theory," Combinatorica, vol. 6, no. 3, pp. 207-219, 1986.
    • (1986) Combinatorica , vol.6 , Issue.3 , pp. 207-219
    • Alon, N.1
  • 18
    • 38249028223 scopus 로고
    • Explicit construction of linear sized tolerant networks
    • N. Alon and F. R. K. Chung, "Explicit construction of linear sized tolerant networks," Discrete Mathematics, vol. 72, no. 1-3, pp. 15-19, 1988.
    • (1988) Discrete Mathematics , vol.72 , Issue.1-3 , pp. 15-19
    • Alon, N.1    Chung, F.R.K.2
  • 19
    • 84990678058 scopus 로고
    • Simple constructions of almost k-wise independent random variables
    • (See also addendum in issue 4(1), 1993, 199-120)
    • N. Alon, O. Goldreich, J. Håstad, and R. Peralta, "Simple constructions of almost k-wise independent random variables," Random Structures & Algorithms, vol. 3, no. 3, pp. 289-304, 1992. (See also addendum in issue 4(1), 1993, pp. 199-120).
    • (1992) Random Structures & Algorithms , vol.3 , Issue.3 , pp. 289-304
    • Alon, N.1    Goldreich, O.2    Håstad, J.3    Peralta, R.4
  • 21
    • 0029326046 scopus 로고
    • ∈-discrepancy sets and their application for interpolation of sparse polynomials
    • N. Alon and Y. Mansour, "∈-discrepancy sets and their application for interpolation of sparse polynomials," Information Processing Letters, vol. 54, no. 6, pp. 337-342, 1995.
    • (1995) Information Processing Letters , vol.54 , Issue.6 , pp. 337-342
    • Alon, N.1    Mansour, Y.2
  • 22
    • 0033077324 scopus 로고    scopus 로고
    • The space complexity of approximating the frequency moments
    • N. Alon, Y. Matias, and M. Szegedy, "The space complexity of approximating the frequency moments," Journal of Computer and System Sciences, vol. 58, no. 1, pp. 137-147, (Part 2) 1999.
    • (1999) Journal of Computer and System Sciences , vol.58 , Issue.1 PART 2 , pp. 137-147
    • Alon, N.1    Matias, Y.2    Szegedy, M.3
  • 24
    • 84990704735 scopus 로고
    • Random Cayley graphs and expanders
    • N. Alon and Y. Roichman, "Random Cayley graphs and expanders," Random Structures and Algorithms, vol. 5, no. 2, pp. 271-284, 1994.
    • (1994) Random Structures and Algorithms , vol.5 , Issue.2 , pp. 271-284
    • Alon, N.1    Roichman, Y.2
  • 26
    • 0034380791 scopus 로고    scopus 로고
    • Bipartite subgraphs and the smallest eigenvalue
    • N. Alon and B. Sudakov, "Bipartite subgraphs and the smallest eigenvalue," Combinatorics, Probability and Computing, vol. 9, no. 1, pp. 1-12, 2000.
    • (2000) Combinatorics, Probability and Computing , vol.9 , Issue.1 , pp. 1-12
    • Alon, N.1    Sudakov, B.2
  • 27
    • 84951167484 scopus 로고    scopus 로고
    • Worst-Case Hardness Suffices for Derandomization: A New Method for Hardness-Randomness Trade-offs
    • Automata, Languages and Programming: 24th International Colloquium, ICALP '97
    • A. E. Andreev, A. E. F. Clementi, and J. D. P. Rolim, "Worst-case hardness suffices for derandomization: A new method for hardness-randomness trade-offs," in Automata, Languages and Programming, 24th International Colloquium, vol. 1256 of Lecture Notes in Computer Science, (P. Degano, R. Gorrieri, and A. Marchetti-Spaccamela, eds.), pp. 177-187, Bologna, Italy: Springer-Verlag, 7-11 July 1997. (Pubitemid 127097735)
    • (1997) Lecture Notes in Computer Science , Issue.1256 , pp. 177-187
    • Andreev, A.A.1    Clementi, A.E.F.2    Rolim, J.D.P.3
  • 28
    • 0033341167 scopus 로고    scopus 로고
    • Weak random sources, hitting sets, and BPP simulations
    • A. E. Andreev, A. E. F. Clementi, J. D. P. Rolim, and L. Trevisan, "Weak random sources, hitting sets, and BPP simulations," SIAM Journal on Computing, vol. 28, no. 6, pp. 2103-2116, (electronic) 1999. (Pubitemid 30530993)
    • (1999) SIAM Journal on Computing , vol.28 , Issue.6 , pp. 2103-2116
    • Andreev, A.E.1    Clementi, A.E.F.2    Rolim, J.D.P.3    Trevisan, L.4
  • 29
    • 0011208228 scopus 로고
    • Provable security of cryptosystems: A survey
    • Yale University, Department of Computer Science
    • D. Angluin and D. Lichtenstein, "Provable security of cryptosystems: A survey," Technical Report YALEU/DCS/TR-288, Yale University, Department of Computer Science, 1983.
    • (1983) Technical Report YALEU/DCS/TR-288
    • Angluin, D.1    Lichtenstein, D.2
  • 30
    • 0032107942 scopus 로고    scopus 로고
    • Reconstructing algebraic functions from mixed data
    • S. Ar, R. J. Lipton, R. Rubinfeld, and M. Sudan, "Reconstructing algebraic functions from mixed data," SIAM Journal on Computing, vol. 28, no. 2, pp. 487-510, 1999.
    • (1999) SIAM Journal on Computing , vol.28 , Issue.2 , pp. 487-510
    • Ar, S.1    Lipton, R.J.2    Rubinfeld, R.3    Sudan, M.4
  • 32
    • 80355146603 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press, (A modern approach)
    • S. Arora and B. Barak, Computational complexity. Cambridge: Cambridge University Press, 2009. (A modern approach).
    • (2009) Computational Complexity
    • Arora, S.1    Barak, B.2
  • 33
    • 0032058198 scopus 로고    scopus 로고
    • Proof Verification and the Hardness of Approximation Problems
    • S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy, "Proof verification and the hardness of approximation problems," Journal of the ACM, vol. 45, pp. 501-555, May 1998. (Pubitemid 128506634)
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 34
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • S. Arora and S. Safra, "Probabilistic checking of proofs: A new characterization of NP," Journal of the ACM, vol. 45, pp. 70-122, January 1998. (Pubitemid 128615465)
    • (1998) Journal of the ACM , vol.45 , Issue.1 , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 36
    • 0003956968 scopus 로고
    • Englewood Cliffs, NJ: Prentice Hall Inc
    • M. Artin, Algebra. Englewood Cliffs, NJ: Prentice Hall Inc., 1991.
    • (1991) Algebra
    • Artin, M.1
  • 37
    • 0034909808 scopus 로고    scopus 로고
    • On pseudorandomness and resource-bounded measure
    • DOI 10.1016/S0304-3975(99)00164-4, PII S0304397599001644
    • V. Arvind and J. Köbler, "On pseudorandomness and resource-bounded measure," Theoretical Computer Science, vol. 255, no. 1-2, pp. 205-221, 2001. (Pubitemid 32680449)
    • (2001) Theoretical Computer Science , vol.255 , Issue.1-2 , pp. 205-221
    • Arvind, V.1    Kobler, J.2
  • 38
    • 79960561408 scopus 로고    scopus 로고
    • Derandomizing Arthur-Merlin games and approximate counting implies exponential-size lower bounds
    • B. Aydinliõglu, D. Gutfreund, J. M. Hitchcock, and A. Kawachi, "Derandomizing Arthur-Merlin games and approximate counting implies exponential-size lower bounds," Computational Complexity, vol. 20, no. 2, pp. 329-366, 2011.
    • (2011) Computational Complexity , vol.20 , Issue.2 , pp. 329-366
    • Aydinliõglu, B.1    Gutfreund, D.2    Hitchcock, J.M.3    Kawachi, A.4
  • 40
    • 0040350285 scopus 로고    scopus 로고
    • Approximating probability distributions using small sample spaces
    • Y. Azar, R. Motwani, and J. Naor, "Approximating probability distributions using small sample spaces," Combinatorica, vol. 18, no. 2, pp. 151-171, 1998. (Pubitemid 128341488)
    • (1998) Combinatorica , vol.18 , Issue.2 , pp. 151-171
    • Azar, Y.1    Motwani, R.2    Naor, J.3
  • 41
    • 85028539051 scopus 로고
    • Checking computations in polylogarithmic time
    • (C. Koutsougeras and J. S. Vitter, eds.), ACM
    • L. Babai, L. Fortnow, L. A. Levin, and M. Szegedy, "Checking computations in polylogarithmic time," in STOC, (C. Koutsougeras and J. S. Vitter, eds.), pp. 21-31, ACM, 1991.
    • (1991) STOC , pp. 21-31
    • Babai, L.1    Fortnow, L.2    Levin, L.A.3    Szegedy, M.4
  • 42
    • 0002771903 scopus 로고
    • Nondeterministic exponential time has two-prover interactive protocols
    • L. Babai, L. Fortnow, and C. Lund, "Nondeterministic exponential time has two-prover interactive protocols," Computational Complexity, vol. 1, no. 1, pp. 3-40, 1991.
    • (1991) Computational Complexity , vol.1 , Issue.1 , pp. 3-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 43
    • 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, vol. 3, no. 4, pp. 307-318, 1993.
    • (1993) Computational Complexity , vol.3 , Issue.4 , pp. 307-318
    • Babai, L.1    Fortnow, L.2    Nisan, N.3    Wigderson, A.4
  • 44
    • 0023995534 scopus 로고
    • Arthur-merlin games: A randomized proof system, and a hierarchy of complexity classes
    • DOI 10.1016/0022-0000(88)90028-1
    • L. Babai and S. Moran, "Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes," Journal of Computer and System Sciences, vol. 36, no. 2, pp. 254-276, 1988. (Pubitemid 18623335)
    • (1988) Journal of Computer and System Sciences , vol.36 , Issue.2 , pp. 254-276
    • Babai Laszlo1
  • 46
    • 34247566037 scopus 로고    scopus 로고
    • Extracting randomness using few independent sources
    • DOI 10.1137/S0097539705447141
    • B. Barak, R. Impagliazzo, and A. Wigderson, "Extracting randomness using few independent sources," SIAM Journal on Computing, vol. 36, no. 4, pp. 1095-1118, 2006. (Pubitemid 47246878)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.4 , pp. 1095-1118
    • Barak, B.1    Impagliazzo, R.2    Wigderson, A.3
  • 47
    • 77952022169 scopus 로고    scopus 로고
    • Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors
    • 4, Art, 52
    • B. Barak, G. Kindler, R. Shaltiel, B. Sudakov, and A. Wigderson, "Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors," Journal of the ACM, vol. 57, no. 4, no. 4, pp. Art 20, 52, 2010.
    • (2010) Journal of the ACM , vol.57 , Issue.4 , pp. 20
    • Barak, B.1    Kindler, G.2    Shaltiel, R.3    Sudakov, B.4    Wigderson, A.5
  • 48
    • 84872472857 scopus 로고    scopus 로고
    • 2-source dispersers for no(1) entropy and Ramsey graphs beating the Frankl-Wilson construction
    • (To appear. Preliminary version in STOC '06)
    • B. Barak, A. Rao, R. Shaltiel, and A. Wigderson, "2-source dispersers for no(1) entropy and Ramsey graphs beating the Frankl-Wilson construction," Annals of Mathematics, 2012. (To appear. Preliminary version in STOC '06).
    • (2012) Annals of Mathematics
    • Barak, B.1    Rao, A.2    Shaltiel, R.3    Wigderson, A.4
  • 52
    • 0000816264 scopus 로고
    • Asymptotically optimal switching circuits
    • L. A. Bassalygo, "Asymptotically optimal switching circuits," Problems of Information Transmission, vol. 17, no. 3, pp. 206-211, 1981.
    • (1981) Problems of Information Transmission , vol.17 , Issue.3 , pp. 206-211
    • Bassalygo, L.A.1
  • 54
    • 33745511846 scopus 로고
    • Hiding instances in multioracle queries (Extended Abstract)
    • of Lecture Notes in Computer Science, Berlin: Springer
    • D. Beaver and J. Feigenbaum, "Hiding instances in multioracle queries (Extended Abstract)," in STACS 90 (Rouen, 1990), vol. 415 of Lecture Notes in Computer Science, pp. 37-48, Berlin: Springer, 1990.
    • (1990) STACS 90 (Rouen, 1990) , vol.415 , pp. 37-48
    • Beaver, D.1    Feigenbaum, J.2
  • 56
    • 84958656559 scopus 로고    scopus 로고
    • "Pseudo-Random" number generation within cryptographic algorithms: The DSS case
    • Advances in Cryptology - CRYPTO '97
    • M. Bellare, S. Goldwasser, and D. Micciancio, ""Pseudo- Random" number generation within cryptographic algorithms: The DDS case," in CRYPTO, vol. 1294 of Lecture Notes in Computer Science, (B. S. K. Jr., ed.), pp. 277-291, Springer, 1997. (Pubitemid 127112559)
    • (1997) Lecture Notes In Computer Science , Issue.1294 , pp. 277-291
    • Bellare, M.1    Goldwasser, S.2    Micciancio, D.3
  • 57
  • 59
    • 34547829716 scopus 로고    scopus 로고
    • Robust PCPs of proximity, shorter PCPs, and applications to coding
    • DOI 10.1137/S0097539705446810
    • E. Ben-Sasson, O. Goldreich, P. Harsha, M. Sudan, and S. Vadhan, "Robust PCPs of proximity, shorter PCPs and applications to coding," SIAM Journal on Computing, vol. 36, no. 4, pp. 889-974, 2006. (Pubitemid 47246874)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.4 , pp. 889-974
    • Ben-Sasson, E.L.I.1    Goldreich, O.2    Harsha, P.3    Sudan, M.4    Vadhan, S.5
  • 62
    • 79959733663 scopus 로고    scopus 로고
    • From affine to two-source extractors via approximate duality
    • (L. Fortnow and S. P. Vadhan, eds.), ACM
    • E. Ben-Sasson and N. Zewi, "From affine to two-source extractors via approximate duality," in STOC, (L. Fortnow and S. P. Vadhan, eds.), pp. 177-186, ACM, 2011.
    • (2011) STOC , pp. 177-186
    • Ben-Sasson, E.1    Zewi, N.2
  • 63
    • 0023985539 scopus 로고
    • Privacy amplification by public discussion
    • Special issue on cryptography
    • C. H. Bennett, G. Brassard, and J.-M. Robert, "Privacy amplification by public discussion," SIAM Journal on Computing, vol. 17, no. 2, pp. 210-229, 1988. Special issue on cryptography.
    • (1988) SIAM Journal on Computing , vol.17 , Issue.2 , pp. 210-229
    • Bennett, C.H.1    Brassard, G.2    Robert, J.-M.3
  • 64
    • 0021388907 scopus 로고
    • On computing the determinant in small parallel time using a small number of processors
    • S. J. Berkowitz, "On computing the determinant in small parallel time using a small number of processors," Information Processing Letters, vol. 18, no. 3, pp. 147-150, 1984.
    • (1984) Information Processing Letters , vol.18 , Issue.3 , pp. 147-150
    • Berkowitz, S.J.1
  • 66
    • 84968518238 scopus 로고
    • Factoring polynomials over large finite fields
    • E. R. Berlekamp, "Factoring polynomials over large finite fields," Mathematics of Computation, vol. 24, pp. 713-735, 1970.
    • (1970) Mathematics of Computation , vol.24 , pp. 713-735
    • Berlekamp, E.R.1
  • 68
    • 33847367664 scopus 로고    scopus 로고
    • Lifts, discrepancy and nearly optimal spectral gap
    • Y. Bilu and N. Linial, "Lifts, discrepancy and nearly optimal spectral gap," Combinatorica, vol. 26, no. 5, pp. 495-519, 2006.
    • (2006) Combinatorica , vol.26 , Issue.5 , pp. 495-519
    • Bilu, Y.1    Linial, N.2
  • 69
    • 51249178917 scopus 로고
    • Independent unbiased coin flips from a correlated biased source - A finite state Markov chain
    • Theory of computing (Singer Island, Fla., 1984)
    • M. Blum, "Independent unbiased coin flips from a correlated biased source - a finite state Markov chain," Combinatorica, vol. 6, no. 2, pp. 97-108, 1986. Theory of computing (Singer Island, Fla., 1984).
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 97-108
    • Blum, M.1
  • 70
    • 0029214558 scopus 로고
    • Designing programs that check their work
    • M. Blum and S. Kannan, "Designing programs that check their work," Journal of the ACM, vol. 42, no. 1, pp. 269-291, 1995.
    • (1995) Journal of the ACM , vol.42 , Issue.1 , pp. 269-291
    • Blum, M.1    Kannan, S.2
  • 71
    • 0000619172 scopus 로고
    • Self-testing/correcting with applications to numerical problems
    • M. Blum, M. Luby, and R. Rubinfeld, "Self-testing/correcting with applications to numerical problems," Journal of Computer and System Sciences, vol. 47, no. 3, pp. 549-595, 1993.
    • (1993) Journal of Computer and System Sciences , vol.47 , Issue.3 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 72
    • 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 pseudorandom bits," SIAM Journal on Computing, vol. 13, no. 4, pp. 850-864, 1984. (Pubitemid 15510668)
    • (1984) SIAM Journal on Computing , vol.13 , Issue.4 , pp. 850-864
    • Blum Manuel1    Micali Silvio2
  • 75
    • 77952257894 scopus 로고    scopus 로고
    • Pseudorandom bits for polynomials
    • A. Bogdanov and E. Viola, "Pseudorandom bits for polynomials," SIAM Journal on Computing, vol. 39, no. 6, pp. 2464-2486, 2010.
    • (2010) SIAM Journal on Computing , vol.39 , Issue.6 , pp. 2464-2486
    • Bogdanov, A.1    Viola, E.2
  • 76
  • 77
    • 38049035373 scopus 로고    scopus 로고
    • Does privacy require true randomness?
    • of Lecture Notes in Computer Science, Berlin: Springer
    • C. Bosley and Y. Dodis, "Does privacy require true randomness?," in Theory of cryptography, vol. 4392 of Lecture Notes in Computer Science, pp. 1-20, Berlin: Springer, 2007.
    • (2007) Theory of Cryptography , vol.4392 , pp. 1-20
    • Bosley, C.1    Dodis, Y.2
  • 78
    • 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
  • 79
    • 2442427378 scopus 로고    scopus 로고
    • A sum-product estimate in finite fields, and applications
    • DOI 10.1007/s00039-004-0451-1
    • J. Bourgain, N. Katz, and T. Tao, "A sum-product estimate in finite fields, and applications," Geometric and Functional Analysis, vol. 14, no. 1, pp. 27-57, 2004. (Pubitemid 38640645)
    • (2004) Geometric and Functional Analysis , vol.14 , Issue.1 , pp. 27-57
    • Bourgain, J.1    Katz, N.2    Tao, T.3
  • 80
    • 0024303956 scopus 로고
    • Inferring sequences produced by pseudo-random number generators
    • J. Boyar, "Inferring sequences produced by pseudo-random number generators," Journal of the Association for Computing Machinery, vol. 36, no. 1, pp. 129-141, 1989.
    • (1989) Journal of the Association for Computing Machinery , vol.36 , Issue.1 , pp. 129-141
    • Boyar, J.1
  • 81
    • 77954011327 scopus 로고    scopus 로고
    • Polylogarithmic independence fools AC0 circuits
    • Art, 10
    • M. Braverman, "Polylogarithmic independence fools AC0 circuits," Journal of the ACM, vol. 57, no. 5, pp. Art 28, 10, 2010.
    • (2010) Journal of the ACM , vol.57 , Issue.5 , pp. 28
    • Braverman, M.1
  • 82
    • 78751520954 scopus 로고    scopus 로고
    • Pseudorandom generators for regular branching programs
    • IEEE Computer Society
    • M. Braverman, A. Rao, R. Raz, and A. Yehudayoff, "Pseudorandom generators for regular branching programs," in FOCS, pp. 40-47, IEEE Computer Society, 2010.
    • (2010) FOCS , pp. 40-47
    • Braverman, M.1    Rao, A.2    Raz, R.3    Yehudayoff, A.4
  • 84
    • 78751533313 scopus 로고    scopus 로고
    • The coin problem and pseudorandomness for branching programs
    • IEEE Computer Society
    • J. Brody and E. Verbin, "The coin problem and pseudorandomness for branching programs," in FOCS, pp. 30-39, IEEE Computer Society, 2010.
    • (2010) FOCS , pp. 30-39
    • Brody, J.1    Verbin, E.2
  • 85
    • 84874144431 scopus 로고    scopus 로고
    • One-sided two-sided error in probabilistic computation
    • of Lecture Notes in Computer Science, Berlin: Springer
    • H. Buhrman and L. Fortnow, "One-sided two-sided error in probabilistic computation," in STACS 99 (Trier), vol. 1563 of Lecture Notes in Computer Science, pp. 100-109, Berlin: Springer, 1999.
    • (1999) STACS 99 (Trier) , vol.1563 , pp. 100-109
    • Buhrman, H.1    Fortnow, L.2
  • 89
    • 0039324528 scopus 로고    scopus 로고
    • of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Berlin: Springer-Verlag, (With the collaboration of Thomas Lickteig)
    • P. Bürgisser, M. Clausen, and M. A. Shokrollahi, Algebraic Complexity Theory, volume 315 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Berlin: Springer-Verlag, 1997. (With the collaboration of Thomas Lickteig).
    • (1997) Algebraic Complexity Theory , vol.315
    • Bürgisser, P.1    Clausen, M.2    Shokrollahi, M.A.3
  • 91
    • 0029220110 scopus 로고
    • Lower bounds for sampling algorithms for estimating the average
    • R. Canetti, G. Even, and O. Goldreich, "Lower bounds for sampling algorithms for estimating the average," Information Processing Letters, vol. 53, no. 1, pp. 17-25, 1995.
    • (1995) Information Processing Letters , vol.53 , Issue.1 , pp. 17-25
    • Canetti, R.1    Even, G.2    Goldreich, O.3
  • 94
    • 20344362744 scopus 로고
    • A lower bound for the smallest eigenvalue of the Laplacian
    • Princeton, NJ: Princeton Univ. Press
    • J. Cheeger, "A lower bound for the smallest eigenvalue of the Laplacian," in Problems in analysis (Papers dedicated to Salomon Bochner, 1969), pp. 195-199, Princeton, NJ: Princeton Univ. Press, 1970.
    • (1970) Problems in Analysis (Papers Dedicated to Salomon Bochner, 1969) , pp. 195-199
    • Cheeger, J.1
  • 95
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
    • H. Chernoff, "A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations," Annals of Mathematical Statistics, vol. 23, pp. 493-507, 1952.
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 96
    • 0023985259 scopus 로고
    • Unbiased bits from sources of weak randomness and probabilistic communication complexity
    • April
    • B. Chor and O. Goldreich, "Unbiased bits from sources of weak randomness and probabilistic communication complexity," SIAM Journal on Computing, vol. 17, pp. 230-261, April 1988.
    • (1988) SIAM Journal on Computing , vol.17 , pp. 230-261
    • Chor, B.1    Goldreich, O.2
  • 97
    • 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, vol. 5, no. 1, pp. 96-106, 1989.
    • (1989) Journal of Complexity , vol.5 , Issue.1 , pp. 96-106
    • Chor, B.1    Goldreich, O.2
  • 100
    • 0036332631 scopus 로고    scopus 로고
    • Sparse quasi-random graphs
    • (Special issue: Paul Erdo{double acute}s and his mathematics)
    • F. Chung and R. Graham, "Sparse quasi-random graphs," Combinatorica, vol. 22, no. 2, pp. 217-244, 2002. (Special issue: Paul Erdo{double acute}s and his mathematics).
    • (2002) Combinatorica , vol.22 , Issue.2 , pp. 217-244
    • Chung, F.1    Graham, R.2
  • 101
    • 38049129887 scopus 로고    scopus 로고
    • Quasi-random graphs with given degree sequences
    • F. Chung and R. Graham, "Quasi-random graphs with given degree sequences," Random Structures and Algorithms, vol. 32, no. 1, pp. 1-19, 2008.
    • (2008) Random Structures and Algorithms , vol.32 , Issue.1 , pp. 1-19
    • Chung, F.1    Graham, R.2
  • 106
    • 80051994919 scopus 로고    scopus 로고
    • Memory delegation
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • K.-M. Chung, Y. T. Kalai, F.-H. Liu, and R. Raz, "Memory delegation," in Advances in Cryptology - CRYPTO 2011, vol. 6841 of Lecture Notes in Computer Science, pp. 151-168, Heidelberg: Springer, 2011.
    • (2011) Advances in Cryptology - CRYPTO 2011 , vol.6841 , pp. 151-168
    • Chung, K.-M.1    Kalai, Y.T.2    Liu, F.-H.3    Raz, R.4
  • 108
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • D. Coppersmith and S. Winograd, "Matrix multiplication via arithmetic progressions," Journal of Symbolic Computation, vol. 9, no. 3, pp. 251-280, 1990.
    • (1990) Journal of Symbolic Computation , vol.9 , Issue.3 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 110
    • 84889281816 scopus 로고
    • Wiley Series in Telecommunications: John Wiley & Sons, Inc., Second Edition
    • T. M. Cover and J. A. Thomas, Elements of Information Theory. Wiley Series in Telecommunications: John Wiley & Sons, Inc., Second Edition, 1991.
    • (1991) Elements of Information Theory
    • Cover, T.M.1    Thomas, J.A.2
  • 111
    • 0000538288 scopus 로고
    • Fast parallel matrix inversion algorithms
    • L. Csanky, "Fast parallel matrix inversion algorithms," SIAM Journal on Computing, vol. 5, no. 4, pp. 618-623, 1976.
    • (1976) SIAM Journal on Computing , vol.5 , Issue.4 , pp. 618-623
    • Csanky, L.1
  • 112
    • 13244290415 scopus 로고    scopus 로고
    • Elementary number theory, group theory, and Ramanujan graphs
    • in of, Cambridge: Cambridge University Press
    • G. Davidoff, P. Sarnak, and A. Valette, "Elementary number theory, group theory, and Ramanujan graphs," in vol. 55 of London Mathematical Society Student Texts, Cambridge: Cambridge University Press, 2003.
    • (2003) London Mathematical Society Student Texts , vol.55
    • Davidoff, G.1    Sarnak, P.2    Valette, A.3
  • 113
    • 80052007561 scopus 로고    scopus 로고
    • Pseudorandomness for permutation and regular branching programs
    • A. De, "Pseudorandomness for permutation and regular branching programs," in IEEE Conference on Computational Complexity, pp. 221-231, 2011
    • (2011) IEEE Conference on Computational Complexity , pp. 221-231
    • De, A.1
  • 114
    • 80052377551 scopus 로고    scopus 로고
    • Extractors and lower bounds for locally samplable sources
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • A. De and T. Watson, "Extractors and lower bounds for locally samplable sources," in Approximation, Randomization, and Combinatorial Optimization, vol. 6845 of Lecture Notes in Computer Science, pp. 483-494, Heidelberg: Springer, 2011.
    • (2011) Approximation, Randomization, and Combinatorial Optimization , vol.6845 , pp. 483-494
    • De, A.1    Watson, T.2
  • 115
    • 77954628286 scopus 로고    scopus 로고
    • A Brief Introduction to Fourier analysis on the Boolean cube
    • R. de Wolf, "A Brief Introduction to Fourier analysis on the Boolean cube," Theory of Computing, Graduate Surveys, vol. 1, pp. 1-20, 2008.
    • (2008) Theory of Computing, Graduate Surveys , vol.1 , pp. 1-20
    • De Wolf, R.1
  • 116
    • 0000006297 scopus 로고
    • A probabilistic remark on algebraic program testing
    • R. A. DeMillo and R. J. Lipton, "A probabilistic remark on algebraic program testing," Information Processing Letters, vol. 7, no. 4, pp. 193-195, 1978.
    • (1978) Information Processing Letters , vol.7 , Issue.4 , pp. 193-195
    • Demillo, R.A.1    Lipton, R.J.2
  • 118
    • 34250354807 scopus 로고    scopus 로고
    • The PCP theorem by gap amplification
    • article 12, (electronic)
    • I. Dinur, "The PCP theorem by gap amplification," Journal of the ACM, vol. 54, no. 3, article 12, p. 44 (electronic), 2007.
    • (2007) Journal of the ACM , vol.54 , Issue.3 , pp. 44
    • Dinur, I.1
  • 119
    • 70350281850 scopus 로고    scopus 로고
    • Security amplification for interactive cryptographic primitives
    • of Lecture Notes in Computer Science, Berlin: Springer
    • Y. Dodis, R. Impagliazzo, R. Jaiswal, and V. Kabanets, "Security amplification for interactive cryptographic primitives," in Theory of Cryptography, vol. 5444 of Lecture Notes in Computer Science, pp. 128-145, Berlin: Springer, 2009.
    • (2009) Theory of Cryptography , vol.5444 , pp. 128-145
    • Dodis, Y.1    Impagliazzo, R.2    Jaiswal, R.3    Kabanets, V.4
  • 120
    • 84858307660 scopus 로고    scopus 로고
    • Randomness condensers for efficiently samplable, seed-dependent sources
    • of Lecture Notes in Computer Science, (R. Cramer, ed.), Springer-Verlag, 19-21 March
    • Y. Dodis, T. Ristenpart, and S. Vadhan, "Randomness condensers for efficiently samplable, seed-dependent sources," in Proceedings of the IACR Theory of Cryptography Conference (TCC '12), vol. 7194 of Lecture Notes in Computer Science, (R. Cramer, ed.), pp. 618-635, Springer-Verlag, 19-21 March 2012.
    • (2012) Proceedings of the IACR Theory of Cryptography Conference (TCC '12) , vol.7194 , pp. 618-635
    • Dodis, Y.1    Ristenpart, T.2    Vadhan, S.3
  • 123
    • 67349179079 scopus 로고    scopus 로고
    • Extractors and rank extractors for polynomial sources
    • Z. Dvir, A. Gabizon, and A. Wigderson, "Extractors and rank extractors for polynomial sources," Computational Complexity, vol. 18, no. 1, pp. 1-58, 2009.
    • (2009) Computational Complexity , vol.18 , Issue.1 , pp. 1-58
    • Dvir, Z.1    Gabizon, A.2    Wigderson, A.3
  • 125
    • 84862590740 scopus 로고    scopus 로고
    • Subspace evasive sets
    • (H. J. Karloff and T. Pitassi, eds.), ACM
    • Z. Dvir and S. Lovett, "Subspace evasive sets," in Symposium on Theory of Computing, (H. J. Karloff and T. Pitassi, eds.), pp. 351-358, ACM, 2012.
    • (2012) Symposium on Theory of Computing , pp. 351-358
    • Dvir, Z.1    Lovett, S.2
  • 126
    • 35448994446 scopus 로고    scopus 로고
    • Locally decodable codes with two queries and polynomial identity testing for depth 3 circuits
    • DOI 10.1137/05063605X
    • Z. Dvir and A. Shpilka, "Locally decodable codes with two queries and polynomial identity testing for depth 3 circuits," SIAM Journal on Computing, vol. 36, no. 5, pp. 1404-1434 (electronic), 2006/07. (Pubitemid 47632453)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.5 , pp. 1404-1434
    • Dvir, Z.1    Shpilka, A.2
  • 129
    • 0003469050 scopus 로고
    • Research Laboratory of Electronics, Massachusetts Institute of Technology. Rep. 335: Cambridge, MA
    • P. Elias, List Decoding for Noisy Channels, Research Laboratory of Electronics, Massachusetts Institute of Technology. Rep. No. 335: Cambridge, MA, 1957.
    • (1957) List Decoding for Noisy Channels
    • Elias, P.1
  • 130
    • 0012578418 scopus 로고
    • The efficient construction of an unbiased random sequence
    • June
    • P. Elias, "The efficient construction of an unbiased random sequence," The Annals of Mathematical Statistics, vol. 43, no. 3, pp. 865-870, June 1972.
    • (1972) The Annals of Mathematical Statistics , vol.43 , Issue.3 , pp. 865-870
    • Elias, P.1
  • 131
    • 0025948524 scopus 로고
    • Error-correcting codes for list decoding
    • P. Elias, "Error-correcting codes for list decoding," IEEE Transactions on Information Theory, vol. 37, no. 1, pp. 5-12, 1991.
    • (1991) IEEE Transactions on Information Theory , vol.37 , Issue.1 , pp. 5-12
    • Elias, P.1
  • 134
    • 51249175955 scopus 로고
    • Families of finite sets in which no set is covered by the union of r others
    • P. Erdos, P. Frankl, and Z. Füredi, "Families of finite sets in which no set is covered by the union of r others," Israel Journal of Mathematics, vol. 51, no. 1-2, pp. 79-89, 1985.
    • (1985) Israel Journal of Mathematics , vol.51 , Issue.1-2 , pp. 79-89
    • Erdos, P.1    Frankl, P.2    Füredi, Z.3
  • 137
    • 0021420540 scopus 로고
    • Complexity of promise problems with applications to public-key cryptography
    • S. Even, A. L. Selman, and Y. Yacobi, "The complexity of promise problems with applications to public-key cryptography," Information and Control, vol. 61, no. 2, pp. 159-173, 1984. (Pubitemid 15436618)
    • (1984) Information and control , vol.61 , Issue.2 , pp. 159-173
    • Even Shimon1    Selman Alan, L.2    Yacobi Yacov3
  • 138
    • 0030100766 scopus 로고    scopus 로고
    • Interactive proofs and the hardness of approximating cliques
    • U. Feige, S. Goldwasser, L. Lovász, S. Safra, and M. Szegedy, "Interactive proofs and the hardness of approximating cliques," Journal of the ACM, vol. 43, no. 2, pp. 268-292, 1996.
    • (1996) Journal of the ACM , vol.43 , Issue.2 , pp. 268-292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3    Safra, S.4    Szegedy, M.5
  • 139
    • 0002590276 scopus 로고
    • Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
    • J. A. Fill, "Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process," Annals of Applied Probability, vol. 1, no. 1, pp. 62-87, 1991.
    • (1991) Annals of Applied Probability , vol.1 , Issue.1 , pp. 62-87
    • Fill, J.A.1
  • 141
    • 51249185135 scopus 로고
    • Intersection theorems with geometric consequences
    • P. Frankl and R. M. Wilson, "Intersection theorems with geometric consequences," Combinatorica, vol. 1, no. 4, pp. 357-368, 1981.
    • (1981) Combinatorica , vol.1 , Issue.4 , pp. 357-368
    • Frankl, P.1    Wilson, R.M.2
  • 142
    • 0021467937 scopus 로고
    • Storing a sparse table with O(1) worst case access time
    • M. L. Fredman, J. Komlós, and E. Szemerédi, "Storing a sparse table with O(1) worst case access time," Journal of the ACM, vol. 31, no. 3, pp. 538-544, 1984.
    • (1984) Journal of the ACM , vol.31 , Issue.3 , pp. 538-544
    • Fredman, M.L.1    Komlós, J.2    Szemerédi, E.3
  • 143
    • 67949093089 scopus 로고    scopus 로고
    • A proof of Alon's second eigenvalue conjecture and related problems
    • J. Friedman, "A proof of Alon's second eigenvalue conjecture and related problems," Memoirs of the American Mathematical Society, vol. 195, no. 910, p. viii+100, 2008.
    • (2008) Memoirs of the American Mathematical Society , vol.195 , Issue.910
    • Friedman, J.1
  • 144
    • 0023985464 scopus 로고
    • Reconstructing truncated integer variables satisfying linear congruences
    • (Special issue on cryptography)
    • A. M. Frieze, J. Håstad, R. Kannan, J. C. Lagarias, and A. Shamir, "Reconstructing truncated integer variables satisfying linear congruences," SIAM Journal on Computing, vol. 17, no. 2, pp. 262-280, 1988. (Special issue on cryptography).
    • (1988) SIAM Journal on Computing , vol.17 , Issue.2 , pp. 262-280
    • Frieze, A.M.1    Håstad, J.2    Kannan, R.3    Lagarias, J.C.4    Shamir, A.5
  • 145
    • 84858326015 scopus 로고    scopus 로고
    • A unified approach to deterministic encryption: New constructions and a connection to computational entropy
    • of Lecture Notes in Computer Science, (R. Cramer, ed.)
    • B. Fuller, A. O'Neill, and L. Reyzin, "A unified approach to deterministic encryption: New constructions and a connection to computational entropy," in TCC, vol. 7194 of Lecture Notes in Computer Science, (R. Cramer, ed.), pp. 582-599, 2012.
    • (2012) TCC , vol.7194 , pp. 582-599
    • Fuller, B.1    O'Neill, A.2    Reyzin, L.3
  • 146
    • 0000871697 scopus 로고
    • Explicit constructions of linear-sized superconcentrators
    • June
    • O. Gabber and Z. Galil, "Explicit constructions of linear-sized superconcentrators," Journal of Computer and System Sciences, vol. 22, pp. 407-420, June 1981.
    • (1981) Journal of Computer and System Sciences , vol.22 , pp. 407-420
    • Gabber, O.1    Galil, Z.2
  • 147
    • 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
  • 149
    • 0001975984 scopus 로고
    • Self-testing/correcting for polynomials and for approximate functions
    • (C. Koutsougeras and J. S. Vitter, eds.)
    • P. Gemmell, R. J. Lipton, R. Rubinfeld, M. Sudan, and A. Wigderson, "Self-testing/correcting for polynomials and for approximate functions," in STOC, (C. Koutsougeras and J. S. Vitter, eds.), pp. 32-42, 1991.
    • (1991) STOC , pp. 32-42
    • Gemmell, P.1    Lipton, R.J.2    Rubinfeld, R.3    Sudan, M.4    Wigderson, A.5
  • 150
    • 0000377057 scopus 로고
    • Highly resilient correctors for polynomials
    • P. Gemmell and M. Sudan, "Highly resilient correctors for polynomials," Information Processing Letters, vol. 43, no. 4, pp. 169-174, 1992.
    • (1992) Information Processing Letters , vol.43 , Issue.4 , pp. 169-174
    • Gemmell, P.1    Sudan, M.2
  • 151
    • 0001287361 scopus 로고
    • A comparison of signalling alphabets
    • E. Gilbert, "A comparison of signalling alphabets," Bell Systems Technical Journal, vol. 31, pp. 504-522, 1952.
    • (1952) Bell Systems Technical Journal , vol.31 , pp. 504-522
    • Gilbert, E.1
  • 152
    • 0000595574 scopus 로고
    • Computational complexity of probabilistic Turing machines
    • J. Gill, "Computational complexity of probabilistic Turing machines," SIAM Journal on Computing, vol. 6, no. 4, pp. 675-695, 1977.
    • (1977) SIAM Journal on Computing , vol.6 , Issue.4 , pp. 675-695
    • Gill, J.1
  • 153
    • 0000646152 scopus 로고    scopus 로고
    • A chernoff bound for random walks on expander graphs
    • PII S0097539794268765
    • D. Gillman, "A Chernoff bound for random walks on expander graphs," SIAM Journal on Computing, vol. 27, no. 4, pp. 1203-1220 (electronic), 1998 (Pubitemid 128689451)
    • (1998) SIAM Journal on Computing , vol.27 , Issue.4 , pp. 1203-1220
    • Gillman, D.1
  • 154
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M. X. Goemans and D. P. Williamson, "Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming," Journal of the ACM, vol. 42, no. 6, pp. 1115-1145, 1995.
    • (1995) Journal of the ACM , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 155
  • 157
    • 0003979335 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press, (Basic tools)
    • O. Goldreich, Foundations of Cryptography. Cambridge: Cambridge University Press, 2001. (Basic tools).
    • (2001) Foundations of Cryptography
    • Goldreich, O.1
  • 158
    • 0003979335 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press, (Basic Applications)
    • O. Goldreich, Foundations of Cryptography II. Cambridge: Cambridge University Press, 2004. (Basic Applications).
    • (2004) Foundations of Cryptography II
    • Goldreich, O.1
  • 162
    • 84874186931 scopus 로고    scopus 로고
    • of University Lecture Series. Providence, RI: American Mathematical Society
    • O. Goldreich, A Primer on Pseudorandom Generators, vol. 55 of University Lecture Series. Providence, RI: American Mathematical Society, 2010.
    • (2010) A Primer on Pseudorandom Generators , vol.55
    • Goldreich, O.1
  • 164
  • 165
    • 0032108275 scopus 로고    scopus 로고
    • Property Testing and Its Connection to Learning and Approximation
    • O. Goldreich, S. Goldwasser, and D. Ron, "Property testing and its connection to learning and approximation," Journal of the ACM, vol. 45, no. 4, pp. 653-750, 1998. (Pubitemid 128488791)
    • (1998) Journal of the ACM , vol.45 , Issue.4 , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 167
    • 0027797493 scopus 로고
    • On the existence of pseudorandom generators
    • O. Goldreich, H. Krawczyk, and M. Luby, "On the existence of pseudorandom generators," SIAM Journal on Computing, vol. 22, no. 6, pp. 1163-1175, 1993.
    • (1993) SIAM Journal on Computing , vol.22 , Issue.6 , pp. 1163-1175
    • Goldreich, O.1    Krawczyk, H.2    Luby, M.3
  • 169
    • 0344347190 scopus 로고    scopus 로고
    • Computational indistinguishability: Algorithms vs. circuits
    • PII S030439759700162X
    • O. Goldreich and B. Meyer, "Computational indistinguishability: algorithms vs. circuits," Theoretical Computer Science, vol. 191, no. 1-2, pp. 215-218, 1998. (Pubitemid 128452161)
    • (1998) Theoretical Computer Science , vol.191 , Issue.1-2 , pp. 215-218
    • Goldreich, O.1    Meyer, B.2
  • 170
    • 71149116146 scopus 로고
    • Proofs that yield nothing but their validity, or All languages in NP have zero-knowledge proof systems
    • O. Goldreich, S. Micali, and A. Wigderson, "Proofs that yield nothing but their validity, or All languages in NP have zero-knowledge proof systems," Journal of the ACM, vol. 38, no. 3, pp. 691-729, 1991.
    • (1991) Journal of the ACM , vol.38 , Issue.3 , pp. 691-729
    • Goldreich, O.1    Micali, S.2    Wigderson, A.3
  • 171
    • 84874175081 scopus 로고    scopus 로고
    • On Yao's XOR lemma
    • revision 2, Electronic Colloquium on Computational Complexity, June
    • O. Goldreich, N. Nisan, and A. Wigderson, "On Yao's XOR lemma," Technical Report TR95-050, revision 2, Electronic Colloquium on Computational Complexity, http://www.eccc.uni-trier.de/eccc, June 2010.
    • (2010) Technical Report TR95-050
    • Goldreich, O.1    Nisan, N.2    Wigderson, A.3
  • 172
    • 0032597115 scopus 로고    scopus 로고
    • Computational indistinguishability: A sample hierarchy
    • (13th Annual IEEE Conference on Computation Complexity (Buffalo, NY, 1998)
    • O. Goldreich and M. Sudan, "Computational indistinguishability: A sample hierarchy," Journal of Computer and System Sciences, vol. 59, no. 2, pp. 253-269, 1999. (13th Annual IEEE Conference on Computation Complexity (Buffalo, NY, 1998)).
    • (1999) Journal of Computer and System Sciences , vol.59 , Issue.2 , pp. 253-269
    • Goldreich, O.1    Sudan, M.2
  • 174
    • 0031504510 scopus 로고    scopus 로고
    • Tiny families of functions with random properties: A quality-size trade-off for hashing
    • O. Goldreich and A. Wigderson, "Tiny families of functions with random properties: A quality-size trade-off for hashing," Random Structures & Algorithms, vol. 11, no. 4, pp. 315-343, 1997. (Pubitemid 127345392)
    • (1997) Random Structures and Algorithms , vol.11 , Issue.4 , pp. 315-343
    • Goldreich, O.1    Wigderson, A.2
  • 175
    • 67650659194 scopus 로고    scopus 로고
    • Cryptography without (hardly any) secrets?
    • of Lecture Notes in Computer Science, Berlin: Springer
    • S. Goldwasser, "Cryptography without (hardly any) secrets?," in Advances in cryptology - EUROCRYPT 2009, vol. 5479 of Lecture Notes in Computer Science, pp. 369-370, Berlin: Springer, 2009.
    • (2009) Advances in Cryptology - EUROCRYPT 2009 , vol.5479 , pp. 369-370
    • Goldwasser, S.1
  • 177
    • 0024611659 scopus 로고
    • The knowledge complexity of interactive proof systems
    • S. Goldwasser, S. Micali, and C. Rackoff, "The knowledge complexity of interactive proof systems," SIAM Journal on Computing, vol. 18, no. 1, pp. 186-208, 1989.
    • (1989) SIAM Journal on Computing , vol.18 , Issue.1 , pp. 186-208
    • Goldwasser, S.1    Micali, S.2    Rackoff, C.3
  • 180
    • 0032361262 scopus 로고    scopus 로고
    • A new proof of Szemerédi's theorem for arithmetic progressions of length four
    • W. T. Gowers, "A new proof of Szemerédi's theorem for arithmetic progressions of length four," Geometric and Functional Analysis, vol. 8, no. 3, pp. 529-551, 1998.
    • (1998) Geometric and Functional Analysis , vol.8 , Issue.3 , pp. 529-551
    • Gowers, W.T.1
  • 181
    • 0035618488 scopus 로고    scopus 로고
    • A new proof of Szemerédi's theorem
    • W. T. Gowers, "A new proof of Szemerédi's theorem," Geometric and Functional Analysis, vol. 11, no. 3, pp. 465-588, 2001.
    • (2001) Geometric and Functional Analysis , vol.11 , Issue.3 , pp. 465-588
    • Gowers, W.T.1
  • 183
    • 84874183956 scopus 로고    scopus 로고
    • Guest column: Error-correcting codes and expander graphs
    • V. Guruswami, "Guest column: Error-correcting codes and expander graphs," SIGACT News, vol. 35, no. 3, pp. 25-41, 2004.
    • (2004) SIGACT News , vol.35 , Issue.3 , pp. 25-41
    • Guruswami, V.1
  • 184
    • 84874134632 scopus 로고    scopus 로고
    • number of Foundations and Trends in Theoretical Computer Science. now publishers
    • V. Guruswami, Algorithmic Results in List Decoding. volume 2, number 2 of Foundations and Trends in Theoretical Computer Science. now publishers, 2006.
    • (2006) Algorithmic Results in List Decoding , vol.2 , Issue.2
    • Guruswami, V.1
  • 185
    • 80052004403 scopus 로고    scopus 로고
    • Linear-algebraic list decoding of folded reed-solomon codes
    • V. Guruswami, "Linear-algebraic list decoding of folded reed-solomon codes," in IEEE Conference on Computational Complexity, pp. 77-85, 2011.
    • (2011) IEEE Conference on Computational Complexity , pp. 77-85
    • Guruswami, V.1
  • 187
  • 188
    • 38349146703 scopus 로고    scopus 로고
    • Explicit codes achieving list decoding capacity: Error-correction with optimal redundancy
    • V. Guruswami and A. Rudra, "Explicit codes achieving list decoding capacity: error-correction with optimal redundancy," IEEE Transactions on Information Theory, vol. 54, no. 1, pp. 135-150, 2008.
    • (2008) IEEE Transactions on Information Theory , vol.54 , Issue.1 , pp. 135-150
    • Guruswami, V.1    Rudra, A.2
  • 189
    • 0033183669 scopus 로고    scopus 로고
    • Improved decoding of Reed-Solomon and algebraic-geometry codes
    • DOI 10.1109/18.782097
    • V. Guruswami and M. Sudan, "Improved decoding of Reed-Solomon and algebraic-geometry codes," Institute of Electrical and Electronics Engineers. Transactions on Information Theory, vol. 45, no. 6, pp. 1757-1767, 1999. (Pubitemid 32871911)
    • (1999) IEEE Transactions on Information Theory , vol.45 , Issue.6 , pp. 1757-1767
    • Guruswami Venkatesan1    Sudan Madhu2
  • 190
    • 0033690275 scopus 로고    scopus 로고
    • List decoding algorithms for certain concatenated codes
    • V. Guruswami and M. Sudan, "List decoding algorithms for certain concatenated codes," in STOC, pp. 181-190, 2000
    • (2000) STOC , pp. 181-190
    • Guruswami, V.1    Sudan, M.2
  • 192
    • 68549120859 scopus 로고    scopus 로고
    • Unbalanced expanders and randomness extractors from Parvaresh-Vardy codes
    • V. Guruswami, C. Umans, and S. Vadhan, "Unbalanced expanders and randomness extractors from Parvaresh-Vardy codes," Journal of the ACM, vol. 56, no. 4, pp. 1-34, 2009.
    • (2009) Journal of the ACM , vol.56 , Issue.4 , pp. 1-34
    • Guruswami, V.1    Umans, C.2    Vadhan, S.3
  • 193
    • 80052389088 scopus 로고    scopus 로고
    • Optimal rate list decoding via derivative codes
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • V. Guruswami and C. Wang, "Optimal rate list decoding via derivative codes," in Approximation, randomization, and combinatorial optimization, vol. 6845 of Lecture Notes in Computer Science, pp. 593-604, Heidelberg: Springer, 2011.
    • (2011) Approximation, Randomization, and Combinatorial Optimization , vol.6845 , pp. 593-604
    • Guruswami, V.1    Wang, C.2
  • 194
    • 84862627897 scopus 로고    scopus 로고
    • Folded codes from function field towers and improved optimal rate list decoding
    • (H. J. Karloff and T. Pitassi, eds.), ACM
    • V. Guruswami and C. Xing, "Folded codes from function field towers and improved optimal rate list decoding," in STOC, (H. J. Karloff and T. Pitassi, eds.), pp. 339-350, ACM, 2012.
    • (2012) STOC , pp. 339-350
    • Guruswami, V.1    Xing, C.2
  • 195
    • 4744337602 scopus 로고    scopus 로고
    • Uniform hardness versus randomness tradeoffs for Arthur-Merlin games
    • DOI 10.1007/s00037-003-0178-7
    • D. Gutfreund, R. Shaltiel, and A. Ta-Shma, "Uniform hardness versus randomness tradeoffs for Arthur-Merlin games," Computational Complexity, vol. 12, no. 3-4, pp. 85-130, 2003. (Pubitemid 39307929)
    • (2003) Computational Complexity , vol.12 , Issue.3-4 , pp. 85-130
    • Gutfreund, D.1    Shaltiel, R.2    Ta-Shma, A.3
  • 197
  • 199
    • 84943817322 scopus 로고
    • Error detecting and error correcting codes
    • R. W. Hamming, "Error detecting and error correcting codes," The Bell System Technical Journal, vol. 29, pp. 147-160, 1950.
    • (1950) The Bell System Technical Journal , vol.29 , pp. 147-160
    • Hamming, R.W.1
  • 202
    • 33747154808 scopus 로고    scopus 로고
    • Using nondeterminism to amplify hardness
    • DOI 10.1137/S0097539705447281
    • A. Healy, S. Vadhan, and E. Viola, "Using nondeterminism to amplify hardness," SIAM Journal on Computing, vol. 35, no. 4, pp. 903-931, 2006. (Pubitemid 44231261)
    • (2006) SIAM Journal on Computing , vol.35 , Issue.4 , pp. 903-931
    • Healy, A.1    Vadhan, S.2    Viola, E.3
  • 203
    • 45449104708 scopus 로고    scopus 로고
    • Randomness-efficient sampling within NC1
    • A. D. Healy, "Randomness-efficient sampling within NC1," Computational Complexity, vol. 17, no. 1, pp. 3-37, 2008.
    • (2008) Computational Complexity , vol.17 , Issue.1 , pp. 3-37
    • Healy, A.D.1
  • 204
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. Hoeffding, "Probability inequalities for sums of bounded random variables," Journal of the American Statistical Association, vol. 58, pp. 13-30, 1963.
    • (1963) Journal of the American Statistical Association , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 206
    • 34848917325 scopus 로고    scopus 로고
    • Key agreement from weak bit agreement
    • DOI 10.1145/1060590.1060689, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
    • T. Holenstein, "Key agreement from weak bit agreement," in STOC'05: Proceedings of the Annual ACM Symposium on Theory of Computing, pp. 664-673, New York, 2005. (Pubitemid 43102489)
    • (2005) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 664-673
    • Holenstein, T.1
  • 207
  • 208
    • 0029516814 scopus 로고
    • Hard-core distributions for somewhat hard problems
    • Milwaukee, Wisconsin, 23-25 October
    • R. Impagliazzo, "Hard-core distributions for somewhat hard problems," in Annual Symposium on Foundations of Computer Science, pp. 538-545, Milwaukee, Wisconsin, 23-25 October 1995.
    • (1995) Annual Symposium on Foundations of Computer Science , pp. 538-545
    • Impagliazzo, R.1
  • 209
    • 30744435936 scopus 로고    scopus 로고
    • Hardness as randomness: A survey of universal derandomization
    • (Beijing, 2002), Beijing
    • R. Impagliazzo, "Hardness as randomness: A survey of universal derandomization," in Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), pp. 659-672, Beijing, 2002.
    • (2002) Proceedings of the International Congress of Mathematicians , vol.III , pp. 659-672
    • Impagliazzo, R.1
  • 210
    • 78149330850 scopus 로고    scopus 로고
    • Approximate list-decoding of direct product codes and uniform hardness amplification
    • R. Impagliazzo, R. Jaiswal, and V. Kabanets, "Approximate list-decoding of direct product codes and uniform hardness amplification," SIAM Journal on Computing, vol. 39, no. 2, pp. 564-605, 2009.
    • (2009) SIAM Journal on Computing , vol.39 , Issue.2 , pp. 564-605
    • Impagliazzo, R.1    Jaiswal, R.2    Kabanets, V.3
  • 211
    • 77956051810 scopus 로고    scopus 로고
    • Uniform direct product theorems: Simplified, optimized, and derandomized
    • R. Impagliazzo, R. Jaiswal, V. Kabanets, and A. Wigderson, "Uniform direct product theorems: Simplified, optimized, and derandomized," SIAM Journal on Computing, vol. 39, no. 4, pp. 1637-1665, 2009/2010.
    • (2009) SIAM Journal on Computing , vol.39 , Issue.4 , pp. 1637-1665
    • Impagliazzo, R.1    Jaiswal, R.2    Kabanets, V.3    Wigderson, A.4
  • 212
    • 23844442856 scopus 로고    scopus 로고
    • In search of an easy witness: Exponential time vs. probabilistic polynomial time
    • DOI 10.1016/S0022-0000(02)00024-7, PII S0022000002000247
    • R. Impagliazzo, V. Kabanets, and A. Wigderson, "In search of an easy witness: Exponential time vs. probabilistic polynomial time," Journal of Computer and System Sciences, vol. 65, no. 4, pp. 672-694, 2002. (Pubitemid 41161945)
    • (2003) Journal of Computer and System Sciences , vol.65 , Issue.4 , pp. 672-694
    • Impagliazzo, R.1    Kabanets, V.2    Wigderson, A.3
  • 213
    • 79953182449 scopus 로고
    • Limits on the provable consequences of one-way permutations
    • of Lecture Notes in Computer Science, Berlin: Springer
    • R. Impagliazzo and S. Rudich, "Limits on the provable consequences of one-way permutations," in Advances in cryptology - CRYPTO '88 (Santa Barbara, CA, 1988), vol 403 of Lecture Notes in Computer Science, pp. 8-26, Berlin: Springer, 1990.
    • (1990) Advances in Cryptology - CRYPTO '88 (Santa Barbara, CA, 1988) , vol.403 , pp. 8-26
    • Impagliazzo, R.1    Rudich, S.2
  • 216
    • 0035734550 scopus 로고    scopus 로고
    • Randomness vs time: Derandomization under a uniform assumption
    • DOI 10.1006/jcss.2001.1780
    • R. Impagliazzo and A. Wigderson, "Randomness vs time: Derandomization under a uniform assumption," Journal of Computer and System Sciences, vol. 63, no. 4, pp. 672-688, 2001. Special issue on FOCS 98 (Palo Alto CA). (Pubitemid 34325775)
    • (2001) Journal of Computer and System Sciences , vol.63 , Issue.4 , pp. 672-688
    • Impagliazzo, R.1    Wigderson, A.2
  • 218
    • 84957018834 scopus 로고    scopus 로고
    • An explicit lower bound of 5n - O(n) for Boolean circuits
    • of Lecture Notes in Computer Science, Berlin: Springer
    • K. Iwama and H. Morizumi, "An explicit lower bound of 5n - o(n) for Boolean circuits," in Mathematical foundations of computer science 2002, vol. 2420 of Lecture Notes in Computer Science, pp. 353-364, Berlin: Springer, 2002.
    • (2002) Mathematical Foundations of Computer Science 2002 , vol.2420 , pp. 353-364
    • Iwama, K.1    Morizumi, H.2
  • 219
    • 0024904712 scopus 로고
    • Approximating the permanent
    • M. Jerrum and A. Sinclair, "Approximating the permanent," SIAM Journal on Computing, vol. 18, no. 6, pp. 1149-1178, 1989. (Pubitemid 20613573)
    • (1989) SIAM Journal on Computing , vol.18 , Issue.6 , pp. 1149-1178
    • Jerrum Mark1    Sinclair Alistair2
  • 220
    • 4243139497 scopus 로고    scopus 로고
    • A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
    • M. Jerrum, A. Sinclair, and E. Vigoda, "A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries," Journal of the ACM, vol. 51, no. 4, pp. 671-697, 2004.
    • (2004) Journal of the ACM , vol.51 , Issue.4 , pp. 671-697
    • Jerrum, M.1    Sinclair, A.2    Vigoda, E.3
  • 221
    • 51249173945 scopus 로고
    • Expanders obtained from affine transformations
    • S. Jimbo and A. Maruoka, "Expanders obtained from affine transformations," Combinatorica, vol. 7, no. 4, pp. 343-355, 1987.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 343-355
    • Jimbo, S.1    Maruoka, A.2
  • 222
    • 84968500684 scopus 로고
    • On a sequence of almost deterministic pairwise independent random variables
    • A. Joffe, "On a sequence of almost deterministic pairwise independent random variables," Proceedings of the American Mathematical Society, vol. 29, pp. 381-382, 1971.
    • (1971) Proceedings of the American Mathematical Society , vol.29 , pp. 381-382
    • Joffe, A.1
  • 223
    • 0001542876 scopus 로고
    • On a set of almost deterministic k-independent random variables
    • A. Joffe, "On a set of almost deterministic k-independent random variables," Annals of Probability, vol. 2, no. 1, pp. 161-162, 1974.
    • (1974) Annals of Probability , vol.2 , Issue.1 , pp. 161-162
    • Joffe, A.1
  • 224
    • 0001392607 scopus 로고
    • Upper bounds for constant weight error correcting codes
    • S. Johnson, "Upper bounds for constant weight error correcting codes," Discrete Mathematics, vol. 3, pp. 109-124, 1972.
    • (1972) Discrete Mathematics , vol.3 , pp. 109-124
    • Johnson, S.1
  • 225
    • 0001336166 scopus 로고
    • A new upper bound for error-correcting codes
    • S. M. Johnson, "A new upper bound for error-correcting codes," IRE Transactions on Information Theory, vol. IT-8, pp. 203-207, 1962.
    • (1962) IRE Transactions on Information Theory , vol.IT-8 , pp. 203-207
    • Johnson, S.M.1
  • 226
    • 84874137301 scopus 로고    scopus 로고
    • Derandomization: A brief overview
    • Algorithms and Complexity, (G. Paun, G. Rozenberg, and A. Salomaa, eds.), World Scientific
    • V. Kabanets, "Derandomization: A brief overview," in Current Trends in Theoretical Computer Science, vol. 1 Algorithms and Complexity, (G. Paun, G. Rozenberg, and A. Salomaa, eds.), pp. 165-188, World Scientific, 2004.
    • (2004) Current Trends in Theoretical Computer Science , vol.1 , pp. 165-188
    • Kabanets, V.1
  • 227
    • 15244352005 scopus 로고    scopus 로고
    • Derandomizing polynomial identity tests means proving circuit lower bounds
    • DOI 10.1007/s00037-004-0182-6
    • V. Kabanets and R. Impagliazzo, "Derandomizing polynomial identity tests means proving circuit lower bounds," Computational Complexity, vol. 13, no. 1-2, pp. 1-46, 2004. (Pubitemid 41217703)
    • (2005) Computational Complexity , vol.13 , Issue.1-2 , pp. 1-46
    • Kabanets, V.1    Impagliazzo, R.2
  • 228
    • 84976736925 scopus 로고
    • Eigenvalues and expansion of regular graphs
    • N. Kahale, "Eigenvalues and expansion of regular graphs," Journal of the ACM, vol. 42, no. 5, pp. 1091-1106, 1995.
    • (1995) Journal of the ACM , vol.42 , Issue.5 , pp. 1091-1106
    • Kahale, N.1
  • 232
    • 35448977790 scopus 로고    scopus 로고
    • Deterministic extractors for bit-fixing sources and exposure-resilient cryptography
    • DOI 10.1137/S0097539705446846
    • J. Kamp and D. Zuckerman, "Deterministic extractors for bit-fixing sources and exposure-resilient cryptography," SIAM Journal on Computing, vol. 36, no. 5, pp. 1231-1247, 2006/2007. (Pubitemid 47632444)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.5 , pp. 1231-1247
    • Kamp, J.1    Zuckerman, D.2
  • 236
    • 0001202403 scopus 로고
    • Monte Carlo approximation algorithms for enumeration problems
    • R. M. Karp, M. Luby, and N. Madras, "Monte Carlo approximation algorithms for enumeration problems," Journal of Algorithms, vol. 10, no. 3, pp. 429-448, 1989.
    • (1989) Journal of Algorithms , vol.10 , Issue.3 , pp. 429-448
    • Karp, R.M.1    Luby, M.2    Madras, N.3
  • 237
    • 51249172217 scopus 로고
    • Constructing a perfect matching is in Random NC
    • R. M. Karp, E. Upfal, and A. Wigderson, "Constructing a perfect matching is in Random NC," Combinatorica, vol. 6, no. 1, pp. 35-48, 1986.
    • (1986) Combinatorica , vol.6 , Issue.1 , pp. 35-48
    • Karp, R.M.1    Upfal, E.2    Wigderson, A.3
  • 239
    • 0033720713 scopus 로고    scopus 로고
    • On the efficiency of local decoding procedures for error-correcting codes
    • (electronic), New York
    • J. Katz and L. Trevisan, "On the efficiency of local decoding procedures for error-correcting codes," in Proceedings of the Annual ACM Symposium on Theory of Computing, pp. 80-86 (electronic), New York, 2000.
    • (2000) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 80-86
    • Katz, J.1    Trevisan, L.2
  • 241
    • 34249038395 scopus 로고    scopus 로고
    • Polynomial identity testing for depth 3 circuits
    • N. Kayal and N. Saxena, "Polynomial identity testing for depth 3 circuits," Computational Complexity, vol. 16, no. 2, pp. 115-138, 2007.
    • (2007) Computational Complexity , vol.16 , Issue.2 , pp. 115-138
    • Kayal, N.1    Saxena, N.2
  • 242
    • 84859047390 scopus 로고    scopus 로고
    • Pseudorandom generators, typically-correct derandomization, and dircuit lower bounds
    • J. Kinne, D. van Melkebeek, and R. Shaltiel, "Pseudorandom generators, typically-correct derandomization, and dircuit lower bounds," Computational Complexity, vol. 21, no. 1, pp. 3-61, 2012.
    • (2012) Computational Complexity , vol.21 , Issue.1 , pp. 3-61
    • Kinne, J.1    Van Melkebeek, D.2    Shaltiel, R.3
  • 243
    • 0038290332 scopus 로고    scopus 로고
    • Boosting and hard-core set construction
    • A. R. Klivans and R. A. Servedio, "Boosting and Hard-Core Set Construction," Machine Learning, vol. 51, no. 3, pp. 217-238, 2003.
    • (2003) Machine Learning , vol.51 , Issue.3 , pp. 217-238
    • Klivans, A.R.1    Servedio, R.A.2
  • 244
    • 0036588881 scopus 로고    scopus 로고
    • Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • DOI 10.1137/S0097539700389652, PII S0097539700389652
    • A. R. Klivans and D. van Melkebeek, "Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses," SIAM Journal on Computing, vol. 31, no. 5, pp. 1501-1526 (electronic), 2002 (Pubitemid 35298409)
    • (2002) SIAM Journal on Computing , vol.31 , Issue.5 , pp. 1501-1526
    • Klivans, A.R.1    Van Melkebeek, D.2
  • 249
    • 79959688264 scopus 로고    scopus 로고
    • High-rate codes with sublinear-time decoding
    • (L. Fortnow and S. P. Vadhan, eds.), ACM
    • S. Kopparty, S. Saraf, and S. Yekhanin, "High-rate codes with sublinear-time decoding," in STOC, (L. Fortnow and S. P. Vadhan, eds.), pp. 167-176, ACM, 2011.
    • (2011) STOC , pp. 167-176
    • Kopparty, S.1    Saraf, S.2    Yekhanin, S.3
  • 250
    • 79959722170 scopus 로고    scopus 로고
    • Pseudorandom generators for group products: Extended abstract
    • (L. Fortnow and S. P. Vadhan, eds.), ACM
    • M. Koucký, P. Nimbhorkar, and P. Pudlák, "Pseudorandom generators for group products: extended abstract," in STOC, (L. Fortnow and S. P. Vadhan, eds.), pp. 263-272, ACM, 2011.
    • (2011) STOC , pp. 263-272
    • Koucký, M.1    Nimbhorkar, P.2    Pudlák, P.3
  • 252
    • 0012168966 scopus 로고
    • How to predict congruential generators
    • H. Krawczyk, "How to predict congruential generators," Journal of Algorithms, vol. 13, no. 4, pp. 527-545, 1992.
    • (1992) Journal of Algorithms , vol.13 , Issue.4 , pp. 527-545
    • Krawczyk, H.1
  • 255
  • 256
    • 0021098038 scopus 로고
    • BPP and the polynomial hierarchy
    • C. Lautemann, "BPP and the polynomial hierarchy," Information Processing Letters, vol. 17, no. 4, pp. 215-217, 1983.
    • (1983) Information Processing Letters , vol.17 , Issue.4 , pp. 215-217
    • Lautemann, C.1
  • 257
    • 80052420854 scopus 로고    scopus 로고
    • Computational randomness from generalized hardcore sets
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • C.-J. Lee, C.-J. Lu, and S.-C. Tsai, "Computational randomness from generalized hardcore sets," in Fundamentals of Computation Theory, vol. 6914 of Lecture Notes in Computer Science, pp. 78-89, Heidelberg: Springer, 2011.
    • (2011) Fundamentals of Computation Theory , vol.6914 , pp. 78-89
    • Lee, C.-J.1    Lu, C.-J.2    Tsai, S.-C.3
  • 259
    • 51249173191 scopus 로고
    • One way functions and pseudorandom generators
    • L. A. Levin, "One way functions and pseudorandom generators," Combinatorica, vol. 7, no. 4, pp. 357-363, 1987.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 357-363
    • Levin, L.A.1
  • 262
    • 80052008588 scopus 로고    scopus 로고
    • A new approach to affine extractors and dispersers
    • X. Li, "A New Approach to Affine Extractors and Dispersers," in IEEE Conference on Computational Complexity, pp. 137-147, 2011.
    • (2011) IEEE Conference on Computational Complexity , pp. 137-147
    • Li, X.1
  • 264
    • 0031498527 scopus 로고    scopus 로고
    • Efficient construction of a small hitting set for combinatorial rectangles in high dimension
    • N. Linial, M. Luby, M. Saks, and D. Zuckerman, "Efficient construction of a small hitting set for combinatorial rectangles in high dimension," Combinatorica, vol. 17, no. 2, pp. 215-234, 1997.
    • (1997) Combinatorica , vol.17 , Issue.2 , pp. 215-234
    • Linial, N.1    Luby, M.2    Saks, M.3    Zuckerman, D.4
  • 265
    • 0001522385 scopus 로고
    • Approximate inclusion-exclusion
    • N. Linial and N. Nisan, "Approximate inclusion-exclusion," Combinatorica, vol. 10, no. 4, pp. 349-365, 1990.
    • (1990) Combinatorica , vol.10 , Issue.4 , pp. 349-365
    • Linial, N.1    Nisan, N.2
  • 266
    • 0003013846 scopus 로고
    • New directions in testing
    • of DIMACS Series Discrete Mathemtics and Theoretical Computer Science, Providence, RI: American Mathematical Society
    • R. J. Lipton, "New directions in testing," in Distributed computing and cryptography (Princeton, NJ, 1989), vol. 2 of DIMACS Series Discrete Mathemtics and Theoretical Computer Science, pp. 191-202, Providence, RI: American Mathematical Society, 1991.
    • (1991) Distributed Computing and Cryptography (Princeton, NJ, 1989) , vol.2 , pp. 191-202
    • Lipton, R.J.1
  • 268
  • 270
    • 77952260904 scopus 로고    scopus 로고
    • Unconditional pseudorandom generators for low-degree polynomials
    • S. Lovett, "Unconditional pseudorandom generators for low-degree polynomials," Theory of Computing. An Open Access Journal, vol. 5, pp. 69-82, 2009.
    • (2009) Theory of Computing. An Open Access Journal , vol.5 , pp. 69-82
    • Lovett, S.1
  • 271
    • 0036436290 scopus 로고    scopus 로고
    • Improved pseudorandom generators for combinatorial rectangles
    • C.-J. Lu, "Improved pseudorandom generators for combinatorial rectangles," Combinatorica, vol. 22, no. 3, pp. 417-433, 2002.
    • (2002) Combinatorica , vol.22 , Issue.3 , pp. 417-433
    • Lu, C.-J.1
  • 273
    • 33846225971 scopus 로고    scopus 로고
    • Improved hardness amplification in NP
    • DOI 10.1016/j.tcs.2006.10.009, PII S0304397506007006
    • C.-J. Lu, S.-C. Tsai, and H.-L. Wu, "Improved hardness amplification in NP," Theoretical Computer Science, vol. 370, no. 1-3, pp. 293-298, 2007. (Pubitemid 46107741)
    • (2007) Theoretical Computer Science , vol.370 , Issue.1-3 , pp. 293-298
    • Lu, C.-J.1    Tsai, S.-C.2    Wu, H.-L.3
  • 274
    • 85027956216 scopus 로고    scopus 로고
    • Complexity of hard-core set proofs
    • C.-J. Lu, S.-C. Tsai, and H.-L. Wu, "Complexity of hard-core set proofs," Computational Complexity, vol. 20, no. 1, pp. 145-171, 2011.
    • (2011) Computational Complexity , vol.20 , Issue.1 , pp. 145-171
    • Lu, C.-J.1    Tsai, S.-C.2    Wu, H.-L.3
  • 275
    • 84874122950 scopus 로고
    • of Progress in Mathematics. Basel: Birkhäuser Verlag, (With an appendix by Jonathan D. Rogawski)
    • A. Lubotzky, Discrete Groups, Expanding Graphs and Invariant Measures. volume 125 of Progress in Mathematics. Basel: Birkhäuser Verlag, 1994. (With an appendix by Jonathan D. Rogawski).
    • (1994) Discrete Groups, Expanding Graphs and Invariant Measures , vol.125
    • Lubotzky, A.1
  • 278
    • 0022807929 scopus 로고
    • Simple parallel algorithms for the maximal independent set problem
    • M. Luby, "A simple parallel algorithm for the maximal independent set problem," SIAM Journal on Computing, vol. 15, no. 4, pp. 1036-1053, 1986. (Pubitemid 17465853)
    • (1986) SIAM Journal on Computing , vol.15 , Issue.4 , pp. 1036-1053
    • Luby Michael1
  • 279
    • 0009448732 scopus 로고
    • Removing randomness in parallel computation without a processor penalty
    • M. Luby, "Removing randomness in parallel computation without a processor penalty," Journal of Computer and System Sciences, vol. 47, no. 2, pp. 250-286, 1993.
    • (1993) Journal of Computer and System Sciences , vol.47 , Issue.2 , pp. 250-286
    • Luby, M.1
  • 280
    • 0010765540 scopus 로고
    • Deterministic approximate counting of depth-2 circuits
    • M. Luby, B. Veličković, and A. Wigderson, "Deterministic Approximate Counting of Depth-2 Circuits," in ISTCS, pp. 18-24, 1993
    • (1993) ISTCS , pp. 18-24
    • Luby, M.1    Veličković, B.2    Wigderson, A.3
  • 281
    • 84874124842 scopus 로고    scopus 로고
    • number of Foundations and Trends in Theoretical Computer Science. now publishers
    • M. Luby and A. Wigderson, Pairwise Independence and Derandomization. Volume 1, number 4 of Foundations and Trends in Theoretical Computer Science. now publishers, 2005.
    • (2005) Pairwise Independence and Derandomization , vol.1 , Issue.4
    • Luby, M.1    Wigderson, A.2
  • 282
    • 0003525990 scopus 로고
    • Amsterdam: North-Holland Publishing Co., (North-Holland Mathematical Library)
    • F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-correcting Codes. Amsterdam: North-Holland Publishing Co., 1977. (North-Holland Mathematical Library, Vol. 16).
    • (1977) The Theory of Error-correcting Codes , vol.16
    • MacWilliams, F.J.1    Sloane, N.J.A.2
  • 283
    • 0000789645 scopus 로고
    • Explicit constructions of expanders
    • G. A. Margulis, "Explicit constructions of expanders," Problemy Peredači Informacii, vol. 9, no. 4, pp. 71-80, 1973.
    • (1973) Problemy Peredači Informacii , vol.9 , Issue.4 , pp. 71-80
    • Margulis, G.A.1
  • 284
    • 0003059022 scopus 로고
    • Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators
    • G. A. Margulis, "Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators," Problemy Peredači Informacii, vol. 24, no. 1, pp. 51-60, 1988.
    • (1988) Problemy Peredači Informacii , vol.24 , Issue.1 , pp. 51-60
    • Margulis, G.A.1
  • 285
    • 33645697622 scopus 로고    scopus 로고
    • Disjoint decomposition of Markov chains and sampling circuits in Cayley graphs
    • R. Martin and D. Randall, "Disjoint decomposition of Markov chains and sampling circuits in Cayley graphs," Combinatorics, Probability and Computing, vol. 15, no. 3, pp. 411-448, 2006.
    • (2006) Combinatorics, Probability and Computing , vol.15 , Issue.3 , pp. 411-448
    • Martin, R.1    Randall, D.2
  • 286
    • 0024772324 scopus 로고
    • Conductance and convergence of Markov chains - A combinatorial treatment of expanders
    • M. Mihail, "Conductance and convergence of Markov Chains-A combinatorial treatment of expanders," in Annual Symposium on Foundations of Computer Science (Research Triangle Park, North Carolina), pp. 526-531, 1989 (Pubitemid 20725998)
    • (1989) Annual Symposium on Foundations of Computer Science (Proceedings) , pp. 526-531
    • Mihail Milena1
  • 287
    • 0017217375 scopus 로고
    • Riemann's hypothesis and tests for primality
    • December
    • G. L. Miller, "Riemann's hypothesis and tests for primality," Journal of Computer and System Sciences, vol. 13, no. 3, pp. 300-317, December 1976.
    • (1976) Journal of Computer and System Sciences , vol.13 , Issue.3 , pp. 300-317
    • Miller, G.L.1
  • 289
    • 29144500344 scopus 로고    scopus 로고
    • Derandomizing Arthur-Merlin games using hitting sets
    • DOI 10.1007/s00037-005-0197-7
    • P. B. Miltersen and N. V. Vinodchandran, "Derandomizing Arthur-Merlin games using hitting sets," Computational Complexity, vol. 14, no. 3, pp. 256-279, 2005. (Pubitemid 41813507)
    • (2005) Computational Complexity , vol.14 , Issue.3 , pp. 256-279
    • Miltersen, P.B.1    Vinodchandran, N.V.2
  • 290
    • 33746398102 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press, (Randomized algorithms and probabilistic analysis)
    • M. Mitzenmacher and E. Upfal, Probability and Computing. Cambridge: Cambridge University Press, 2005. (Randomized algorithms and probabilistic analysis).
    • (2005) Probability and Computing
    • Mitzenmacher, M.1    Upfal, E.2
  • 293
    • 84874176481 scopus 로고
    • Boolean algebras in electric circuit design
    • (Proceedings of the symposium on special topics in applied mathematics, Northwestern University (1953))
    • D. E. Muller, "Boolean algebras in electric circuit design," The American Mathematical Monthly, vol. 61, no. 7 part II, pp. 27-28, 1954. (Proceedings of the symposium on special topics in applied mathematics, Northwestern University (1953)).
    • (1954) The American Mathematical Monthly , vol.61 , Issue.7 PART II , pp. 27-28
    • Muller, D.E.1
  • 294
    • 51249174825 scopus 로고
    • Matching is as easy as matrix inversion
    • K. Mulmuley, U. V. Vazirani, and V. V. Vazirani, "Matching is as easy as matrix inversion," Combinatorica, vol. 7, no. 1, pp. 105-113, 1987.
    • (1987) Combinatorica , vol.7 , Issue.1 , pp. 105-113
    • Mulmuley, K.1    Vazirani, U.V.2    Vazirani, V.V.3
  • 295
    • 84874162948 scopus 로고    scopus 로고
    • number of Foundations and Trends in Theoretical Computer Science. now publishers
    • S. Muthukrishnan, Data Streams: Algorithms and Applications, volume 1, number 2 of Foundations and Trends in Theoretical Computer Science. now publishers, 2005.
    • (2005) Data Streams: Algorithms and Applications , vol.1 , Issue.2
    • Muthukrishnan, S.1
  • 296
    • 0027641832 scopus 로고
    • Small-bias probability spaces: Efficient constructions and applications
    • J. Naor and M. Naor, "Small-bias probability spaces: Efficient constructions and applications," SIAM Journal on Computing, vol. 22, pp. 838-856, August 1993. (Pubitemid 23677151)
    • (1993) SIAM Journal on Computing , vol.22 , Issue.4 , pp. 838-856
    • Naor Joseph1    Naor Moni2
  • 297
    • 0000437003 scopus 로고
    • On the second eigenvalue of a graph
    • A. Nilli, "On the second eigenvalue of a graph," Discrete Mathematics, vol. 91, no. 2, pp. 207-210, 1991.
    • (1991) Discrete Mathematics , vol.91 , Issue.2 , pp. 207-210
    • Nilli, A.1
  • 298
    • 0008827213 scopus 로고
    • Pseudorandom bits for constant depth circuits
    • N. Nisan, "Pseudorandom bits for constant depth circuits," Combinatorica, vol. 11, no. 1, pp. 63-70, 1991.
    • (1991) Combinatorica , vol.11 , Issue.1 , pp. 63-70
    • Nisan, N.1
  • 299
    • 0000947929 scopus 로고
    • Pseudorandom generators for space-bounded computation
    • N. Nisan, "Pseudorandom generators for space-bounded computation," Combinatorica, vol. 12, no. 4, pp. 449-461, 1992.
    • (1992) Combinatorica , vol.12 , Issue.4 , pp. 449-461
    • Nisan, N.1
  • 300
  • 301
    • 0033075850 scopus 로고    scopus 로고
    • Extracting randomness: A survey and new constructions
    • February
    • N. Nisan and A. Ta-Shma, "Extracting randomness: A survey and new constructions," Journal of Computer and System Sciences, vol. 58, pp. 148-173, February 1999.
    • (1999) Journal of Computer and System Sciences , vol.58 , pp. 148-173
    • Nisan, N.1    Ta-Shma, A.2
  • 302
    • 0028516244 scopus 로고
    • Hardness vs randomness
    • DOI 10.1016/S0022-0000(05)80043-1
    • N. Nisan and A. Wigderson, "Hardness vs Randomness," Journal of Computer and System Sciences, vol. 49, pp. 149-167, October 1994. (Pubitemid 124013312)
    • (1994) Journal of Computer and System Sciences , vol.49 , Issue.2 , pp. 149-167
    • Nisan, N.1
  • 303
    • 0030086632 scopus 로고    scopus 로고
    • Randomness is linear in space
    • DOI 10.1006/jcss.1996.0004
    • N. Nisan and D. Zuckerman, "Randomness is linear in space," Journal of Computer and System Sciences, vol. 52, pp. 43-52, February 1996. (Pubitemid 126340848)
    • (1996) Journal of Computer and System Sciences , vol.52 , Issue.1 , pp. 43-52
    • Nisan, N.1    Zuckerman, D.2
  • 305
    • 84893798125 scopus 로고    scopus 로고
    • Book draft available at analysisofbooleanfunctions.org
    • R. O'Donnell, "Analysis of boolean functions," Book draft available at analysisofbooleanfunctions.org, 2012.
    • (2012) Analysis of Boolean Functions
    • O'Donnell, R.1
  • 306
    • 33646831750 scopus 로고    scopus 로고
    • Correcting errors beyond the Guruswami-Sudan radius in polynomial time
    • DOI 10.1109/SFCS.2005.29, 1530722, Proceedings - 46th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2005
    • F. Parvaresh and A. Vardy, "Correcting errors beyond the Guruswami-Sudan radius in polynomial time," in Proceedings of the IEEE Symposium on Foundations of Computer Science, pp. 285-294, 2005 (Pubitemid 44375740)
    • (2005) Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS , vol.2005 , pp. 285-294
    • Parvaresh, F.1    Vardy, A.2
  • 307
    • 0004888588 scopus 로고
    • Iterating von Neumann's procedure for extracting random bits
    • Y. Peres, "Iterating von Neumann's procedure for extracting random bits," The Annals of Statistics, vol. 20, no. 1, pp. 590-597, 1992.
    • (1992) The Annals of Statistics , vol.20 , Issue.1 , pp. 590-597
    • Peres, Y.1
  • 308
    • 0000808175 scopus 로고
    • Encoding and error-correction procedures for the Bose-Chaudhuri codes
    • W. W. Peterson, "Encoding and error-correction procedures for the Bose-Chaudhuri codes," IRE Transactions on Information Theory, vol. IT-6, pp. 459-470, 1960.
    • (1960) IRE Transactions on Information Theory , vol.IT-6 , pp. 459-470
    • Peterson, W.W.1
  • 309
    • 0002550078 scopus 로고
    • On the complexity of a concentrator
    • Stockholm
    • M. Pinsker, "On the complexity of a concentrator," in Annual Teletraffic Conference, pp. 318/1-318/4, Stockholm, 1973.
    • (1973) Annual Teletraffic Conference
    • Pinsker, M.1
  • 312
    • 0001131698 scopus 로고
    • The design of optimum multi-factorial experiments
    • R. L. Plackett and J. E. Burman, "The design of optimum multi-factorial experiments," Biometrika, vol. 33, pp. 305-325, 1945.
    • (1945) Biometrika , vol.33 , pp. 305-325
    • Plackett, R.L.1    Burman, J.E.2
  • 314
    • 33845432604 scopus 로고
    • Probabilistic algorithm for testing primality
    • M. O. Rabin, "Probabilistic algorithm for testing primality," Journal of Number Theory, vol. 12, no. 1, pp. 128-138, 1980.
    • (1980) Journal of Number Theory , vol.12 , Issue.1 , pp. 128-138
    • Rabin, M.O.1
  • 315
    • 0002956996 scopus 로고    scopus 로고
    • Bounds for dispersers, extractors, and depth-two superconcentrators
    • (electronic)
    • J. Radhakrishnan and A. Ta-Shma, "Bounds for dispersers, extractors, and depth-two superconcentrators," SIAM Journal on Discrete Mathematics, vol. 13, no. 1 (electronic), pp. 2-24, 2000.
    • (2000) SIAM Journal on Discrete Mathematics , vol.13 , Issue.1 , pp. 2-24
    • Radhakrishnan, J.1    Ta-Shma, A.2
  • 316
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • (Annual IEEE Symposium on the Foundations of Computer Science (Toronto, ON, 1986))
    • P. Raghavan, "Probabilistic construction of deterministic algorithms: approximating packing integer programs," Journal of Computer and System Sciences, vol. 37, no. 2, pp. 130-143, 1988. (Annual IEEE Symposium on the Foundations of Computer Science (Toronto, ON, 1986)).
    • (1988) Journal of Computer and System Sciences , vol.37 , Issue.2 , pp. 130-143
    • Raghavan, P.1
  • 318
    • 67650164537 scopus 로고    scopus 로고
    • Extractors for a constant number of polynomially small minentropy independent sources
    • A. Rao, "Extractors for a constant number of polynomially small minentropy independent sources," SIAM Journal on Computing, vol. 39, no. 1, pp. 168-194, 2009.
    • (2009) SIAM Journal on Computing , vol.39 , Issue.1 , pp. 168-194
    • Rao, A.1
  • 319
    • 0032650476 scopus 로고    scopus 로고
    • On recycling the randomness of states in space bounded computation
    • (electronic), New York: ACM
    • R. Raz and O. Reingold, "On recycling the randomness of states in space bounded computation," in Annual ACM Symposium on Theory of Computing (Atlanta, GA, 1999), pp. 159-168 (electronic), New York: ACM, 1999.
    • (1999) Annual ACM Symposium on Theory of Computing (Atlanta, GA, 1999) , pp. 159-168
    • Raz, R.1    Reingold, O.2
  • 320
    • 0038309373 scopus 로고    scopus 로고
    • Extracting all the randomness and reducing the error in Trevisan's extractors
    • DOI 10.1006/jcss.2002.1824
    • 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, vol. 65, pp. 97-128, August 2002. (Pubitemid 41161760)
    • (2003) Journal of Computer and System Sciences , vol.65 , Issue.1 , pp. 97-128
    • Raz, R.1    Reingold, O.2    Vadhan, S.3
  • 321
    • 84971698089 scopus 로고
    • Constructing small sets that are uniform in arithmetic progressions
    • A. Razborov, E. Szemerédi, and A. Wigderson, "Constructing small sets that are uniform in arithmetic progressions," Combinatorics Probability Computing, vol. 2, no. 4, pp. 513-518, 1993.
    • (1993) Combinatorics Probability Computing , vol.2 , Issue.4 , pp. 513-518
    • Razborov, A.1    Szemerédi, E.2    Wigderson, A.3
  • 322
    • 0000883554 scopus 로고
    • Lower bounds on the dimension of schemes of bounded depth in a complete basis containing the logical addition function
    • 623
    • A. A. Razborov, "Lower bounds on the dimension of schemes of bounded depth in a complete basis containing the logical addition function," Akademiya Nauk SSSR. Matematicheskie Zametki, vol. 41, no. 4, pp. 598-607, 623, 1987.
    • (1987) Akademiya Nauk SSSR. Matematicheskie Zametki , vol.41 , Issue.4 , pp. 598-607
    • Razborov, A.A.1
  • 323
    • 0031213341 scopus 로고    scopus 로고
    • Natural proofs
    • A. A. Razborov and S. Rudich, "Natural proofs," Journal of Computer and System Sciences, vol. 55, no. 1, part 1, pp. 24-35, 1997. (26th Annual ACM Symposium on the Theory of Computing (STOC '94) (Montreal, PQ, 1994)). (Pubitemid 127433391)
    • (1997) Journal of Computer and System Sciences , vol.55 , Issue.1 , pp. 24-35
    • Razborov, A.A.1    Rudich, S.2
  • 324
    • 9144245836 scopus 로고
    • A class of multiple-error-correcting codes and the decoding scheme
    • PGIT-4
    • I. S. Reed, "A class of multiple-error-correcting codes and the decoding scheme," IRE Transactions on Information Theory, PGIT-4, pp. 38-49, 1954.
    • (1954) IRE Transactions on Information Theory , pp. 38-49
    • Reed, I.S.1
  • 327
    • 52249087391 scopus 로고    scopus 로고
    • Undirected connectivity in log-space
    • Art 17
    • O. Reingold, "Undirected connectivity in log-space," Journal of the ACM, vol. 55, no. 4, pp. Art 17, 24, 2008.
    • (2008) Journal of the ACM , vol.55 , Issue.4 , pp. 24
    • Reingold, O.1
  • 328
    • 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 Journal on Computing, vol. 35, no. 5, pp. 1185-1209, (electronic), 2006. (Pubitemid 44599923)
    • (2006) SIAM Journal on Computing , vol.35 , Issue.5 , pp. 1185-1209
    • Reingold, O.1    Shaltiel, R.2    Wigderson, A.3
  • 330
    • 84947798969 scopus 로고    scopus 로고
    • Notions of reducibility between cryptographic primitives
    • of Lecture Notes in Computer Science, (M. Naor, ed.), Springer-Verlag, 19-21 February
    • O. Reingold, L. Trevisan, and S. Vadhan, "Notions of reducibility between cryptographic primitives," in Proceedings of the First Theory of Cryptography Conference (TCC '04), vol. 2951 of Lecture Notes in Computer Science, (M. Naor, ed.), pp. 1-20, Springer-Verlag, 19-21 February 2004.
    • (2004) Proceedings of the First Theory of Cryptography Conference (TCC '04) , vol.2951 , pp. 1-20
    • Reingold, O.1    Trevisan, L.2    Vadhan, S.3
  • 331
    • 33748119261 scopus 로고    scopus 로고
    • Pseudorandom walks on regular digraphs and the RL vs. L problem
    • STOC'06: Proceedings of the 38th Annual ACM Symposium on Theory of Computing
    • O. Reingold, L. Trevisan, and S. Vadhan, "Pseudorandom Walks in Regular Digraphs and the RL vs. L Problem," in Proceedings of the Annual ACM Symposium on Theory of Computing (STOC '06), pp. 457-466, 21-23 May 2006. (Preliminary version as ECCC TR05-22, February 2005). (Pubitemid 44306580)
    • (2006) Proceedings of the Annual ACM Symposium on Theory of Computing , vol.2006 , pp. 457-466
    • Reingold, O.1    Trevisan, L.2    Vadhan, S.3
  • 332
  • 333
    • 0036000527 scopus 로고    scopus 로고
    • Entropy waves, the zig-zag graph product, and new constant-degree expanders
    • January
    • O. Reingold, S. Vadhan, and A. Wigderson, "Entropy waves, the zig-zag graph product, and new constant-degree expanders," Annals of Mathematics, vol. 155, no. 1, January 2001.
    • (2001) Annals of Mathematics , vol.155 , Issue.1
    • Reingold, O.1    Vadhan, S.2    Wigderson, A.3
  • 334
    • 84874160651 scopus 로고    scopus 로고
    • A note on extracting randomness from Santha-Vazirani sources
    • September
    • O. Reingold, S. Vadhan, and A. Wigderson, "A note on extracting randomness from Santha-Vazirani sources," Unpublished manuscript, September 2004.
    • (2004) Unpublished Manuscript
    • Reingold, O.1    Vadhan, S.2    Wigderson, A.3
  • 336
    • 0017930809 scopus 로고
    • Method for obtaining digital signatures and public-key cryptosystems
    • DOI 10.1145/359340.359342
    • R. L. Rivest, A. Shamir, and L. Adleman, "A method for obtaining digital signatures and public-key cryptosystems," Communications of the Association for Computing Machinery, vol. 21, no. 2, pp. 120-126, 1978. (Pubitemid 8591219)
    • (1978) Communications of the ACM , vol.21 , Issue.2 , pp. 120-126
    • Rivest, R.L.1    Shamir, A.2    Adleman, L.3
  • 338
    • 26944493764 scopus 로고    scopus 로고
    • Derandomized squaring of graphs
    • Aproximation, Randomization and Combinatotial Optimization - Algorithms and Techniques: 8th Int. Workshop on APPROX 2005 and 9th Int. Workshop on RANDOM 2005, Proceedings
    • E. Rozenman and S. Vadhan, "Derandomized squaring of graphs," in Proceedings of the International Workshop on Randomization and Computation (RANDOM '05), vol. 3624 of Lecture notes in Computer Science, pp. 436-447, Berkeley, CA, August 2005. (Pubitemid 41480454)
    • (2005) Lecture Notes in Computer Science , vol.3624 , pp. 436-447
    • Rozenman, E.1    Vadhan, S.2
  • 339
    • 77952077012 scopus 로고    scopus 로고
    • Sublinear time algorithms
    • Zürich: European Mathematical Society
    • R. Rubinfeld, "Sublinear time algorithms," in International Congress of Mathematicians. Vol. III, pp. 1095-1110, Zürich: European Mathematical Society, 2006.
    • (2006) International Congress of Mathematicians. Vol. III , pp. 1095-1110
    • Rubinfeld, R.1
  • 340
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterizations of polynomials with applications to program testing
    • R. Rubinfeld and M. Sudan, "Robust characterizations of polynomials with applications to program testing," SIAM Journal on Computing, vol. 25, no. 2, pp. 252-271, 1996. (Pubitemid 126577271)
    • (1996) SIAM Journal on Computing , vol.25 , Issue.2 , pp. 252-271
    • Rubinfeld, R.1    Sudan, M.2
  • 342
    • 0016973706 scopus 로고
    • P-complete approximation problems
    • S. Sahni and T. Gonzalez, "P-complete approximation problems," Journal of the ACM, vol. 23, no. 3, pp. 555-565, 1976.
    • (1976) Journal of the ACM , vol.23 , Issue.3 , pp. 555-565
    • Sahni, S.1    Gonzalez, T.2
  • 343
    • 0031654488 scopus 로고    scopus 로고
    • Explicit OR-dispersers with polylogarithmic degree
    • M. Saks, A. Srinivasan, and S. Zhou, "Explicit OR-dispersers with polylogarithmic degree," Journal of the ACM, vol. 45, no. 1, pp. 123-154, 1998. (Pubitemid 128615466)
    • (1998) Journal of the ACM , vol.45 , Issue.1 , pp. 123-154
    • Saks, M.1    Srinivasan, A.2    Zhou, S.3
  • 346
    • 0021469810 scopus 로고
    • Generating quasirandom sequences from semirandom sources
    • (Annual Symposium on Foundations of Computer Science (Singer Island, FL, 1984))
    • M. Sántha and U. V. Vazirani, "Generating quasirandom sequences from semirandom sources," Journal of Computer and System Sciences, vol. 33, no. 1, pp. 75-87, 1986. (Annual Symposium on Foundations of Computer Science (Singer Island, FL, 1984)).
    • (1986) Journal of Computer and System Sciences , vol.33 , Issue.1 , pp. 75-87
    • Sántha, M.1    Vazirani, U.V.2
  • 347
    • 35448955269 scopus 로고    scopus 로고
    • Circuit lower bounds for Merlin-Arthur classes
    • DOI 10.1145/1250790.1250832, STOC'07: Proceedings of the 39th Annual ACM Symposium on Theory of Computing
    • R. Santhanam, "Circuit lower bounds for Merlin-Arthur classes," in STOC'07 - Proceedings of the Annual ACM Symposium on Theory of Computing, pp. 275-283, New York, 2007. (Pubitemid 47630745)
    • (2007) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 275-283
    • Santhanam, R.1
  • 348
    • 0004150895 scopus 로고
    • of Cambridge Tracts in Mathematics. Cambridge: Cambridge University Press
    • P. Sarnak, Some Applications of Modular Forms. Vol. 99 of Cambridge Tracts in Mathematics. Cambridge: Cambridge University Press, 1990.
    • (1990) Some Applications of Modular Forms. , vol.99
    • Sarnak, P.1
  • 349
    • 0014776888 scopus 로고
    • Relationships between nondeterministic and deterministic tape complexities
    • W. J. Savitch, "Relationships between nondeterministic and deterministic tape complexities," Journal of Computer and System Sciences, vol. 4, pp. 177-192, 1970.
    • (1970) Journal of Computer and System Sciences , vol.4 , pp. 177-192
    • Savitch, W.J.1
  • 350
    • 0001595705 scopus 로고
    • Chernoff-Hoeffding bounds for applications with limited independence
    • J. P. Schmidt, A. Siegel, and A. Srinivasan, "Chernoff-Hoeffding bounds for applications with limited independence," SIAM Journal on Discrete Mathematics, vol. 8, no. 2, pp. 223-250, 1995.
    • (1995) SIAM Journal on Discrete Mathematics , vol.8 , Issue.2 , pp. 223-250
    • Schmidt, J.P.1    Siegel, A.2    Srinivasan, A.3
  • 351
    • 84976779342 scopus 로고
    • Fast probabilistic algorithms for verification of polynomial identities
    • J. T. Schwartz, "Fast probabilistic algorithms for verification of polynomial identities," Journal of the ACM, vol. 27, no. 4, pp. 701-717, 1980.
    • (1980) Journal of the ACM , vol.27 , Issue.4 , pp. 701-717
    • Schwartz, J.T.1
  • 352
    • 33749012868 scopus 로고    scopus 로고
    • Recent developments in extractors
    • (G. Paun, G. Rozenberg, and A. Salomaa, eds.), World Scientific
    • R. Shaltiel, "Recent Developments in Extractors," in Current Trends in Theoretical Computer Science, vol. 1, (G. Paun, G. Rozenberg, and A. Salomaa, eds.), pp. 189-228, World Scientific, 2004.
    • (2004) Current Trends in Theoretical Computer Science , vol.1 , pp. 189-228
    • Shaltiel, R.1
  • 353
    • 84863333239 scopus 로고    scopus 로고
    • Dispersers for affine sources with sub-polynomial entropy
    • (R. Ostrovsky, ed.), IEEE
    • R. Shaltiel, "Dispersers for affine sources with sub-polynomial entropy," in FOCS, (R. Ostrovsky, ed.), pp. 247-256, IEEE, 2011.
    • (2011) FOCS , pp. 247-256
    • Shaltiel, R.1
  • 354
    • 79959939914 scopus 로고    scopus 로고
    • An introduction to randomness extractors
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • R. Shaltiel, "An introduction to randomness extractors," in Automata, languages and programming. Part II, vol. 6756 of Lecture Notes in Computer Science, pp. 21-41, Heidelberg: Springer, 2011.
    • (2011) Automata, Languages and Programming. Part II , vol.6756 , pp. 21-41
    • Shaltiel, R.1
  • 355
    • 85027926057 scopus 로고    scopus 로고
    • Weak derandomization of weak algorithms: Explicit versions of Yao's lemma
    • R. Shaltiel, "Weak derandomization of weak algorithms: explicit versions of Yao's lemma," Computational Complexity, vol. 20, no. 1, pp. 87-143, 2011.
    • (2011) Computational Complexity , vol.20 , Issue.1 , pp. 87-143
    • Shaltiel, R.1
  • 356
    • 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 min-entropies and a new Pseudo-random generator," Journal of the 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
  • 357
    • 34249055556 scopus 로고    scopus 로고
    • Pseudorandomness for approximate counting and sampling
    • R. Shaltiel and C. Umans, "Pseudorandomness for approximate counting and sampling," Computational Complexity, vol. 15, no. 4, pp. 298-341, 2006.
    • (2006) Computational Complexity , vol.15 , Issue.4 , pp. 298-341
    • Shaltiel, R.1    Umans, C.2
  • 358
    • 78349313026 scopus 로고    scopus 로고
    • Low-end uniform hardness versus randomness tradeoffs for AM
    • R. Shaltiel and C. Umans, "Low-end uniform hardness versus randomness tradeoffs for AM," SIAM Journal on Computing, vol. 39, no. 3, pp. 1006-1037, 2009.
    • (2009) SIAM Journal on Computing , vol.39 , Issue.3 , pp. 1006-1037
    • Shaltiel, R.1    Umans, C.2
  • 360
    • 84976667857 scopus 로고
    • On the generation of cryptographically strong pseudorandom sequences
    • of Lecture Notes in Computer Science, Berlin: Springer
    • A. Shamir, "On the generation of cryptographically strong pseudorandom sequences," in Automata, Languages and Programming (Akko, 1981), vol. 115 of Lecture Notes in Computer Science, pp. 544-550, Berlin: Springer, 1981.
    • (1981) Automata, Languages and Programming (Akko, 1981) , vol.115 , pp. 544-550
    • Shamir, A.1
  • 361
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 623-656
    • C. E. Shannon, "A mathematical theory of communication," The Bell System Technical Journal, vol. 27, pp. 379-423, 623-656, 1948.
    • (1948) The Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 362
    • 78650453766 scopus 로고    scopus 로고
    • Arithmetic circuits: A survey of recent results and open questions
    • in Theoretical Computer Science
    • A. Shpilka and A. Yehudayoff, "Arithmetic circuits: A survey of recent results and open questions," Foundations and Trends-in Theoretical Computer Science, vol. 5, no. 3-4, pp. 207-388 (2010), 2009.
    • (2009) Foundations and Trends , vol.5 , Issue.3-4 , pp. 207-388
    • Shpilka, A.1    Yehudayoff, A.2
  • 363
    • 79959304214 scopus 로고    scopus 로고
    • Almost k-wise independent sets establish hitting sets for width-3 1-branching programs
    • of Lecture Notes in Computer Science, (A. S. Kulikov and N. K. Vereshchagin, eds.), Springer
    • J. Síma and S. Zák, "Almost k-wise independent sets establish hitting sets for width-3 1-branching programs," in CSR, vol. 6651 of Lecture Notes in Computer Science, (A. S. Kulikov and N. K. Vereshchagin, eds.), pp. 120-133, Springer, 2011.
    • (2011) CSR , vol.6651 , pp. 120-133
    • Síma, J.1    Zák, S.2
  • 364
    • 0020931594 scopus 로고
    • A complexity theoretic approach to randomness
    • Boston, Massachusetts, 25-27 April
    • M. Sipser, "A complexity theoretic approach to randomness," in Annual ACM Symposium on Theory of Computing, pp. 330-335, Boston, Massachusetts, 25-27 April 1983.
    • (1983) Annual ACM Symposium on Theory of Computing , pp. 330-335
    • Sipser, M.1
  • 365
    • 0024019629 scopus 로고
    • Expanders, randomness, or time versus space
    • (Structure in Complexity Theory Conference (Berkeley, CA, 1986))
    • M. Sipser, "Expanders, randomness, or time versus space," Journal of Computer and System Sciences, vol. 36, no. 3, pp. 379-383, 1988. (Structure in Complexity Theory Conference (Berkeley, CA, 1986)).
    • (1988) Journal of Computer and System Sciences , vol.36 , Issue.3 , pp. 379-383
    • Sipser, M.1
  • 367
    • 0030290419 scopus 로고    scopus 로고
    • Expander codes
    • PII S001894489607304X
    • M. Sipser and D. A. Spielman, "Expander codes," IEEE Transactions on Information Theory, vol. 42, no. 6 part 1, pp. 1710-1722, 1996. (Codes and complexity). (Pubitemid 126769170)
    • (1996) IEEE Transactions on Information Theory , vol.42 , Issue.PART 1 , pp. 1710-1722
    • Sipser, M.1    Spielman, D.A.2
  • 369
    • 0001873077 scopus 로고
    • A fast Monte-Carlo test for primality
    • R. Solovay and V. Strassen, "A fast Monte-Carlo test for primality," SIAM Journal on Computing, vol. 6, no. 1, pp. 84-85, 1977.
    • (1977) SIAM Journal on Computing , vol.6 , Issue.1 , pp. 84-85
    • Solovay, R.1    Strassen, V.2
  • 370
    • 84874129054 scopus 로고
    • of CBMS-NSF Regional Conference Series in Applied Mathematics. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM), Second Edition
    • J. Spencer, Ten Lectures on the Probabilistic Method, volume 64 of CBMS-NSF Regional Conference Series in Applied Mathematics. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM), Second Edition, 1994.
    • (1994) Ten Lectures on the Probabilistic Method , vol.64
    • Spencer, J.1
  • 371
    • 46749087479 scopus 로고    scopus 로고
    • Spectral graph theory and its applications
    • 21-23 October 2007, Providence, RI, USA, Proceedings
    • D. A. Spielman, "Spectral graph theory and its applications," in Symposium on Foundations of Computer Science (FOCS 2007), 21-23 October 2007, Providence, RI, USA, Proceedings, pp. 29-38, 2007.
    • (2007) Symposium on Foundations of Computer Science (FOCS 2007) , pp. 29-38
    • Spielman, D.A.1
  • 372
    • 0032631071 scopus 로고    scopus 로고
    • Computing with very weak random sources
    • (electronic)
    • A. Srinivasan and D. Zuckerman, "Computing with very weak random sources," SIAM Journal on Computing, vol. 28, no. 4, pp. 1433-1459 (electronic), 1999
    • (1999) SIAM Journal on Computing , vol.28 , Issue.4 , pp. 1433-1459
    • Srinivasan, A.1    Zuckerman, D.2
  • 373
    • 84893470966 scopus 로고    scopus 로고
    • Pseudorandomness for permutation branching programs without the group theory
    • Electronic Colloquium on Computational Complexity (ECCC), July
    • T. Steinke, "Pseudorandomness for permutation branching programs without the group theory," Technical Report TR12-083, Electronic Colloquium on Computational Complexity (ECCC), July 2012.
    • (2012) Technical Report TR12-083
    • Steinke, T.1
  • 375
    • 70449495933 scopus 로고    scopus 로고
    • Algebraic function fields and codes
    • of. Berlin: Springer-Verlag, Second Edition
    • H. Stichtenoth, Algebraic Function Fields and Codes, volume 254 of Graduate Texts in Mathematics. Berlin: Springer-Verlag, Second Edition, 2009.
    • (2009) Graduate Texts in Mathematics , vol.254
    • Stichtenoth, H.1
  • 376
    • 0028407954 scopus 로고
    • Combinatorial techniques for universal hashing
    • DOI 10.1016/S0022-0000(05)80007-8
    • D. R. Stinson, "Combinatorial techniques for universal hashing," Journal of Computer and System Sciences, vol. 48, no. 2, pp. 337-346, 1994. (Pubitemid 124013294)
    • (1994) Journal of Computer and System Sciences , vol.48 , Issue.2 , pp. 337-346
    • Stinson, D.R.1
  • 377
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • V. Strassen, "Gaussian elimination is not optimal," Numerische Mathematik, vol. 13, pp. 354-356, 1969.
    • (1969) Numerische Mathematik , vol.13 , pp. 354-356
    • Strassen, V.1
  • 378
    • 0031097176 scopus 로고    scopus 로고
    • Decoding of Reed Solomon codes beyond the error-correction bound
    • DOI 10.1006/jcom.1997.0439, PII S0885064X97904398
    • M. Sudan, "Decoding of Reed Solomon codes beyond the error-correction bound," Journal of Complexity, vol. 13, pp. 180-193, March 1997. (Pubitemid 127172728)
    • (1997) Journal of Complexity , vol.13 , Issue.1 , pp. 180-193
    • Sudan, M.1
  • 379
    • 26944481662 scopus 로고    scopus 로고
    • Algorithmic introduction to coding theory
    • M. Sudan, "Algorithmic introduction to coding theory," Lecture notes, http://people.csail.mit.edu/madhu/FT01/, 2001
    • (2001) Lecture Notes
    • Sudan, M.1
  • 381
    • 0035276434 scopus 로고    scopus 로고
    • Pseudorandom generators without the XOR Lemma
    • DOI 10.1006/jcss.2000.1730
    • M. Sudan, L. Trevisan, and S. Vadhan, "Pseudorandom generators without the XOR lemma," Journal of Computer and System Sciences, vol. 62, pp. 236-266, 2001. (Pubitemid 32334551)
    • (2001) Journal of Computer and System Sciences , vol.62 , Issue.2 , pp. 236-266
    • Sudan, M.1    Trevisan, L.2    Vadhan, S.3
  • 382
    • 34248175874 scopus 로고    scopus 로고
    • Lossless condensers, unbalanced expanders, and extractors
    • A. Ta-Shma, C. Umans, and D. Zuckerman, "Lossless condensers, unbalanced expanders, and extractors," Combinatorica, vol. 27, no. 2, pp. 213-240, 2007.
    • (2007) Combinatorica , vol.27 , Issue.2 , pp. 213-240
    • Ta-Shma, A.1    Umans, C.2    Zuckerman, D.3
  • 385
    • 0000472681 scopus 로고
    • Explicit concentrators from generalized N-gons
    • M. R. Tanner, "Explicit concentrators from generalized N-gons," SIAM Journal on Algebraic Discrete Methods, vol. 5, no. 3, pp. 287-293, 1984.
    • (1984) SIAM Journal on Algebraic Discrete Methods , vol.5 , Issue.3 , pp. 287-293
    • Tanner, M.R.1
  • 386
    • 84874138056 scopus 로고    scopus 로고
    • Expansion in finite groups of Lie type
    • T. Tao, "Expansion in finite groups of Lie type," Lecture Notes, http://www.math.ucla.edu/tao/254b.1.12w/, 2012
    • (2012) Lecture Notes
    • Tao, T.1
  • 387
    • 0038679036 scopus 로고    scopus 로고
    • Fourier analysis on finite groups and applications
    • of. Cambridge: Cambridge University Press
    • A. Terras, Fourier Analysis on Finite Groups and Applications, volume 43 of London Mathematical Society Student Texts. Cambridge: Cambridge University Press, 1999.
    • (1999) London Mathematical Society Student Texts , vol.43
    • Terras, A.1
  • 389
    • 0005314594 scopus 로고    scopus 로고
    • Extractors and pseudorandom generators
    • (electronic)
    • L. Trevisan, "Extractors and pseudorandom generators," Journal of the ACM, vol. 48, no. 4, pp. 860-879, (electronic), 2001.
    • (2001) Journal of the ACM , vol.48 , Issue.4 , pp. 860-879
    • Trevisan, L.1
  • 391
    • 33748588052 scopus 로고    scopus 로고
    • Some applications of coding theory in computational complexity
    • L. Trevisan, "Some applications of coding theory in computational complexity," Quaderni di Matematica, vol. 13, pp. 347-424, 2004.
    • (2004) Quaderni di Matematica , vol.13 , pp. 347-424
    • Trevisan, L.1
  • 392
    • 34047145017 scopus 로고    scopus 로고
    • On uniform amplification of hardness in NP
    • DOI 10.1145/1060590.1060595, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
    • L. Trevisan, "On uniform amplification of hardness in NP," in STOC'05: Proceedings of the Annual ACM Symposium on Theory of Computing, pp. 31-38, New York, 2005. (Pubitemid 43098569)
    • (2005) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 31-38
    • Trevisan, L.1
  • 393
    • 84874147333 scopus 로고    scopus 로고
    • Pseudorandomness and combinatorial constructions
    • Zürich: European Mathematics Society
    • L. Trevisan, "Pseudorandomness and combinatorial constructions," in International Congress of Mathematicians. Vol. III, pp. 1111-1136, Zürich: European Mathematics Society, 2006.
    • (2006) International Congress of Mathematicians. Vol. III , pp. 1111-1136
    • Trevisan, L.1
  • 394
    • 79955713091 scopus 로고    scopus 로고
    • Guest column: Additive combinatorics and theoretical computer science
    • L. Trevisan, "Guest column: Additive combinatorics and theoretical computer science," SIGACT News, vol. 40, no. 2, pp. 50-66, 2009.
    • (2009) SIGACT News , vol.40 , Issue.2 , pp. 50-66
    • Trevisan, L.1
  • 395
    • 79953166402 scopus 로고    scopus 로고
    • Dense model theorems and their applications
    • of Lecture Notes in Computer Science, Heidelberg: Springer
    • L. Trevisan, "Dense model theorems and their applications," in Theory of cryptography, vol. 6597 of Lecture Notes in Computer Science, pp. 55-57, Heidelberg: Springer, 2011.
    • (2011) Theory of Cryptography , vol.6597 , pp. 55-57
    • Trevisan, L.1
  • 396
    • 70350646988 scopus 로고    scopus 로고
    • Regularity, boosting, and efficiently simulating every high-entropy distribution
    • 15-18 July. (Preliminary version posted as ECCC TR08-103)
    • L. Trevisan, M. Tulsiani, and S. Vadhan, "Regularity, boosting, and efficiently simulating every high-entropy distribution," in Proceedings of the Annual IEEE Conference on Computational Complexity (CCC '09), pp. 126-136, 15-18 July 2009. (Preliminary version posted as ECCC TR08-103).
    • (2009) Proceedings of the Annual IEEE Conference on Computational Complexity (CCC '09) , pp. 126-136
    • Trevisan, L.1    Tulsiani, M.2    Vadhan, S.3
  • 397
    • 38749129723 scopus 로고    scopus 로고
    • Pseudorandomness and average-case complexity via uniform reductions
    • December
    • L. Trevisan and S. Vadhan, "Pseudorandomness and average-case complexity via uniform reductions," Computational Complexity, vol. 16, pp. 331-364, December 2007.
    • (2007) Computational Complexity , vol.16 , pp. 331-364
    • Trevisan, L.1    Vadhan, S.2
  • 399
    • 0142027847 scopus 로고    scopus 로고
    • Pseudo-random generators for all hardnesses
    • C. Umans, "Pseudo-random generators for all hardnesses," Journal of Computer and System Sciences, vol. 67, no. 2, pp. 419-440, 2003.
    • (2003) Journal of Computer and System Sciences , vol.67 , Issue.2 , pp. 419-440
    • Umans, C.1
  • 400
    • 37149024896 scopus 로고    scopus 로고
    • Probabilistic proof systems, Part i - Interactive & zeroknowledge proofs
    • of IAS/Park City Mathematics Series, (S. Rudich and A. Wigderson, eds.), American Mathematical Society
    • S. Vadhan, "Probabilistic proof systems, Part I - interactive & zeroknowledge proofs," in Computational Complexity Theory, vol. 10 of IAS/Park City Mathematics Series, (S. Rudich and A. Wigderson, eds.), pp. 315-348, American Mathematical Society, 2004.
    • (2004) Computational Complexity Theory , vol.10 , pp. 315-348
    • Vadhan, S.1
  • 402
    • 4344628859 scopus 로고    scopus 로고
    • Constructing locally computable extractors and cryptosystems in the bounded-storage model
    • January
    • S. P. Vadhan, "Constructing locally computable extractors and cryptosystems in the bounded-storage model," Journal of Cryptology, vol. 17, no. 1, pp. 43-77, January 2004.
    • (2004) Journal of Cryptology , vol.17 , Issue.1 , pp. 43-77
    • Vadhan, S.P.1
  • 403
    • 0017249811 scopus 로고
    • Graph-theoretic properties in computational complexity
    • L. G. Valiant, "Graph-theoretic properties in computational complexity," Journal of Computer and System Sciences, vol. 13, no. 3, pp. 278-285, 1976.
    • (1976) Journal of Computer and System Sciences , vol.13 , Issue.3 , pp. 278-285
    • Valiant, L.G.1
  • 404
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L. G. Valiant, "The complexity of computing the permanent," Theoretical Computer Science, vol. 8, no. 2, pp. 189-201, 1979.
    • (1979) Theoretical Computer Science , vol.8 , Issue.2 , pp. 189-201
    • Valiant, L.G.1
  • 405
    • 0021518106 scopus 로고
    • A theory of the learnable
    • L. G. Valiant, "A theory of the learnable," Communications of the ACM, vol. 27, no. 11, pp. 1134-1142, 1984.
    • (1984) Communications of the ACM , vol.27 , Issue.11 , pp. 1134-1142
    • Valiant, L.G.1
  • 406
    • 0000479182 scopus 로고
    • Estimate of the number of signals in error correcting codes
    • R. Varshamov, "Estimate of the number of signals in error correcting codes," Doklady Akademe Nauk SSSR, vol. 117, pp. 739-741, 1957.
    • (1957) Doklady Akademe Nauk SSSR , vol.117 , pp. 739-741
    • Varshamov, R.1
  • 407
    • 0021901103 scopus 로고
    • Towards a strong communication complexity theory or generating quasi-random sequences from two communicating slightly-random sources (extended abstract)
    • Providence, Rhode Island, 6-8 May
    • U. V. Vazirani, "Towards a strong communication complexity theory or generating quasi-random sequences from two communicating slightly-random sources (extended abstract)," in Proceedings of the Annual ACM Symposium on Theory of Computing, pp. 366-378, Providence, Rhode Island, 6-8 May 1985.
    • (1985) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 366-378
    • Vazirani, U.V.1
  • 408
    • 0023573599 scopus 로고
    • Efficiency considerations in using semi-random sources (extended abstract)
    • (A. V. Aho, ed.), ACM
    • U. V. Vazirani, "Efficiency considerations in using semi-random sources (extended abstract)," in STOC, (A. V. Aho, ed.), pp. 160-168, ACM, 1987.
    • (1987) STOC , pp. 160-168
    • Vazirani, U.V.1
  • 409
    • 51249175241 scopus 로고
    • Strong communication complexity or generating quasirandom sequences from two communicating semirandom sources
    • U. V. Vazirani, "Strong communication complexity or generating quasirandom sequences from two communicating semirandom sources," Combinatorica, vol. 7, no. 4, pp. 375-392, 1987.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 375-392
    • Vazirani, U.V.1
  • 410
    • 0022252339 scopus 로고
    • Random polynomial time is equal to slightly-random polynomial time
    • Portland, Oregon, 21-23 October
    • U. V. Vazirani and V. V. Vazirani, "Random polynomial time is equal to slightly-random polynomial time," in Annual Symposium on Foundations of Computer Science, pp. 417-428, Portland, Oregon, 21-23 October 1985.
    • (1985) Annual Symposium on Foundations of Computer Science , pp. 417-428
    • Vazirani, U.V.1    Vazirani, V.V.2
  • 411
    • 15244355932 scopus 로고    scopus 로고
    • The complexity of constructing pseudorandom generators from hard functions
    • DOI 10.1007/s00037-004-0187-1
    • E. Viola, "The complexity of constructing pseudorandom generators from hard functions," Computational Complexity, vol. 13, no. 3-4, pp. 147-188, 2004. (Pubitemid 40389759)
    • (2005) Computational Complexity , vol.13 , Issue.3-4 , pp. 147-188
    • Viola, E.1
  • 412
    • 34748857354 scopus 로고    scopus 로고
    • Pseudorandom bits for constant-depth circuits with few arbitrary symmetric gates
    • DOI 10.1137/050640941
    • E. Viola, "Pseudorandom bits for constant-depth circuits with few arbitrary symmetric gates," SIAM Journal on Computing, vol. 36, no. 5, pp. 1387-1403, (electronic), 2006/2007. (Pubitemid 47632452)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.5 , pp. 1387-1403
    • Viola, E.1
  • 413
    • 68149150037 scopus 로고    scopus 로고
    • The sum of d small-bias generators fools polynomials of degree d
    • E. Viola, "The sum of d small-bias generators fools polynomials of degree d," Computational Complexity, vol. 18, no. 2, pp. 209-217, 2009.
    • (2009) Computational Complexity , vol.18 , Issue.2 , pp. 209-217
    • Viola, E.1
  • 414
    • 84861625402 scopus 로고    scopus 로고
    • Extractors for circuit sources
    • (R. Ostrovsky, ed.), IEEE
    • E. Viola, "Extractors for circuit sources," in FOCS, (R. Ostrovsky, ed.), pp. 220-229, IEEE, 2011.
    • (2011) FOCS , pp. 220-229
    • Viola, E.1
  • 415
    • 84861643905 scopus 로고    scopus 로고
    • The complexity of distributions
    • E. Viola, "The complexity of distributions," SIAM Journal on Computing, vol. 41, no. 1, pp. 191-218, 2012.
    • (2012) SIAM Journal on Computing , vol.41 , Issue.1 , pp. 191-218
    • Viola, E.1
  • 417
    • 0019572642 scopus 로고
    • New hash functions and their use in authentication and set equality
    • DOI 10.1016/0022-0000(81)90033-7
    • M. N. Wegman and J. L. Carter, "New hash functions and their use in authentication and set equality," Journal of Computer and System Sciences, vol. 22, no. 3, pp. 265-279, 1981. (Pubitemid 12444638)
    • (1981) Journal of Computer and System Sciences , vol.22 , Issue.3 , pp. 265-279
    • Wegman Mark, N.1    Carter J.Lawrence2
  • 421
    • 0020301290 scopus 로고
    • Theory and applications of trapdoor functions (extended abstract)
    • Chicago, Illinois, 3-5 November
    • A. C. Yao, "Theory and applications of trapdoor functions (extended abstract)," in Annual Symposium on Foundations of Computer Science, pp. 80-91, Chicago, Illinois, 3-5 November 1982.
    • (1982) Annual Symposium on Foundations of Computer Science , pp. 80-91
    • Yao, A.C.1
  • 422
    • 80051528494 scopus 로고    scopus 로고
    • Affine extractors over prime fields
    • A. Yehudayoff, "Affine extractors over prime fields," Combinatorica, vol. 31, no. 2, pp. 245-256, 2011.
    • (2011) Combinatorica , vol.31 , Issue.2 , pp. 245-256
    • Yehudayoff, A.1
  • 423
    • 40549114927 scopus 로고    scopus 로고
    • Towards 3-query locally decodable codes of subexponential length
    • Art 1
    • S. Yekhanin, "Towards 3-query locally decodable codes of subexponential length," Journal of the ACM, vol. 55, no. 1, pp. Art 1, 16, 2008.
    • (2008) Journal of the ACM , vol.55 , Issue.1 , pp. 16
    • Yekhanin, S.1
  • 425
    • 84925463455 scopus 로고
    • Probabilistic algorithms for sparse polynomials
    • of Lecture Notes in Computer Science, (E. W. Ng, ed.), Springer
    • R. Zippel, "Probabilistic algorithms for sparse polynomials," in EUROSAM, vol. 72 of Lecture Notes in Computer Science, (E. W. Ng, ed.), pp. 216-226, Springer, 1979.
    • (1979) EUROSAM , vol.72 , pp. 216-226
    • Zippel, R.1
  • 426
    • 0001023343 scopus 로고    scopus 로고
    • Simulating BPP Using a General Weak Random Source
    • D. Zuckerman, "Simulating BPP using a general weak random source," Algorithmica, vol. 16, pp. 367-391, October/November 1996. (Pubitemid 126416932)
    • (1996) Algorithmica (New York) , vol.16 , Issue.4-5 , pp. 367-391
    • Zuckerman, D.1
  • 427
    • 0031507665 scopus 로고    scopus 로고
    • Randomness-optimal oblivious sampling
    • D. Zuckerman, "Randomness-optimal oblivious sampling," Random Structures & Algorithms, vol. 11, no. 4, pp. 345-367, 1997. (Pubitemid 127345393)
    • (1997) Random Structures and Algorithms , vol.11 , Issue.4 , pp. 345-367
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.