메뉴 건너뛰기




Volumn 16, Issue 4-5, 1996, Pages 367-391

Simulating BPP Using a General Weak Random Source

Author keywords

Clique; Expander graph; Extractor; Hardness of approximation; Pseudorandom generator; Weak random source

Indexed keywords


EID: 0001023343     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01940870     Document Type: Article
Times cited : (116)

References (43)
  • 1
    • 33750994100 scopus 로고
    • 1, Isoperimetric Inequalities for Graphs and Superconcentrators
    • 1, Isoperimetric Inequalities for Graphs and Superconcentrators, J. Combin. Theory Ser. B, 38:73-88, 1985.
    • (1985) J. Combin. Theory Ser. B , vol.38 , pp. 73-88
    • Alon, N.1    Milman, V.D.2
  • 4
    • 0002771903 scopus 로고
    • Non-Deterministic Exponential Time has Two-Prover Interactive Protocols
    • L. Babai, L. Fortnow, and C. Lund, Non-Deterministic Exponential Time has Two-Prover Interactive Protocols, Comput. Complexity, 1:16-25, 1991.
    • (1991) Comput. Complexity , vol.1 , pp. 16-25
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 6
    • 0023985539 scopus 로고
    • Privacy Amplification by Public Discussion
    • C. H. Bennett, G. Brassard, and J.-M. Robert, Privacy Amplification by Public Discussion, SIAM J. Comput., 17(2):210-229, 1988.
    • (1988) SIAM J. Comput. , vol.17 , Issue.2 , pp. 210-229
    • Bennett, C.H.1    Brassard, G.2    Robert, J.-M.3
  • 7
    • 0002897287 scopus 로고
    • Collective Coin Flipping Robust Voting Schemes and Minimal Banzhaf Values
    • S. Micali, ed., JAI Press, Greenwich, CT
    • M. Ben-Or and N. Linial, Collective Coin Flipping Robust Voting Schemes and Minimal Banzhaf Values, in Advances in Computing Research 5: Randomness and Computation, S. Micali, ed., JAI Press, Greenwich, CT, 1989, pp. 91-115.
    • (1989) Advances in Computing Research 5: Randomness and Computation , pp. 91-115
    • Ben-Or, M.1    Linial, N.2
  • 8
    • 51249178917 scopus 로고
    • Independent Unbiased Coin Flips from a Correlated Biased Source: A Finite Markov Chain
    • M. Blum, Independent Unbiased Coin Flips from a Correlated Biased Source: a Finite Markov Chain, Combinatorica, 6(2):97-108, 1986.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 97-108
    • Blum, M.1
  • 9
    • 0018456171 scopus 로고
    • Universal Classes of Hash Functions
    • L. Carter and M. Wegman, Universal Classes of Hash Functions, J. Comp. Syst. Sci., 18(2):143-154, 1979.
    • (1979) J. Comp. Syst. Sci. , vol.18 , Issue.2 , pp. 143-154
    • Carter, L.1    Wegman, M.2
  • 10
    • 0023985259 scopus 로고
    • Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity
    • B. Chor and O. Goldreich, Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity, SIAM J. Comput., 17(2):230-261, 1988.
    • (1988) SIAM J. Comput. , vol.17 , Issue.2 , pp. 230-261
    • Chor, B.1    Goldreich, O.2
  • 11
    • 0002739272 scopus 로고
    • On the Power of Two-Point Based Sampling
    • B. Chor and O. Goldreich, On the Power of Two-Point Based Sampling, J. Complexity, 5:96-106, 1989.
    • (1989) J. Complexity , vol.5 , pp. 96-106
    • Chor, B.1    Goldreich, O.2
  • 14
    • 0025720957 scopus 로고
    • A Random Polynomial Time Algorithm for Approximating the Volume of a Convex Body
    • M. Dyer, A. Frieze, and R. Kannan, A Random Polynomial Time Algorithm for Approximating the Volume of a Convex Body, J. Assoc. Comput. Mach., 38:1-17, 1991.
    • (1991) J. Assoc. Comput. Mach. , vol.38 , pp. 1-17
    • Dyer, M.1    Frieze, A.2    Kannan, R.3
  • 15
    • 0012578418 scopus 로고
    • The Efficient Construction of an Unbiased Random Sequence
    • P. Elias, The Efficient Construction of an Unbiased Random Sequence, Ann. Math. Statist., 43(3):865-870, 1972.
    • (1972) Ann. Math. Statist. , vol.43 , Issue.3 , pp. 865-870
    • Elias, P.1
  • 17
    • 0028544648 scopus 로고
    • On the Power of Multi-Prover Interactive Protocols
    • L. Fortnow, J. Rompel, and M. Sipser, On the Power of Multi-Prover Interactive Protocols, Theoret. Comput. Sci. A, 134:545-557, 1994.
    • (1994) Theoret. Comput. Sci. A , vol.134 , pp. 545-557
    • Fortnow, L.1    Rompel, J.2    Sipser, M.3
  • 19
    • 0000871697 scopus 로고
    • Explicit Constructions of Linear-Sized Supercomputers
    • O. Gabber and Z. Galil, Explicit Constructions of Linear-Sized Supercomputers, J. Comput. System Sci., 22:407-420, 1981.
    • (1981) J. Comput. System Sci. , vol.22 , pp. 407-420
    • Gabber, O.1    Galil, Z.2
  • 22
    • 0003037529 scopus 로고
    • Reducibility among Combinatorial Problems
    • R. E. Miller and J. W. Thatcher, eds., Plenum, New York
    • R. M. Karp, Reducibility Among Combinatorial Problems, in Complexity of Computer Computations, R. E. Miller and J. W. Thatcher, eds., Plenum, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 23
    • 0012523366 scopus 로고
    • Some Extremal Problems Arising from Discrete Control Processes
    • D. Lichtenstein, N. Linial, and M. Saks, Some Extremal Problems Arising from Discrete Control Processes, Combinatorica, 9:269-287, 1989.
    • (1989) Combinatorica , vol.9 , pp. 269-287
    • Lichtenstein, D.1    Linial, N.2    Saks, M.3
  • 25
    • 0030086632 scopus 로고    scopus 로고
    • Randomness Is Linear in Space
    • N. Nisan and D. Zuckerman, Randomness Is Linear in Space, J. Comput. System Sci., 52(1):43-52, 1996.
    • (1996) J. Comput. System Sci. , vol.52 , Issue.1 , pp. 43-52
    • Nisan, N.1    Zuckerman, D.2
  • 26
    • 33845432604 scopus 로고
    • Probabilistic Algorithm for Testing Primality
    • M. O. Rabin, Probabilistic Algorithm for Testing Primality, J. Number Theory, 12:128-138, 1980.
    • (1980) J. Number Theory , vol.12 , pp. 128-138
    • Rabin, M.O.1
  • 27
    • 1542391181 scopus 로고    scopus 로고
    • personal communication
    • A. Sahay and M. Sudan, personal communication.
    • Sahay, A.1    Sudan, M.2
  • 29
    • 0023415869 scopus 로고
    • On Using Deterministic Functions in Probabilistic Algorithms
    • M. Santha, On Using Deterministic Functions in Probabilistic Algorithms, Inform. and Comput., 74(3):241-249, 1987.
    • (1987) Inform. and Comput. , vol.74 , Issue.3 , pp. 241-249
    • Santha, M.1
  • 30
    • 0021469810 scopus 로고
    • Generating Quasi-Random Sequences from Slightly Random Sources
    • M. Santha and U. Vazirani, Generating Quasi-Random Sequences from Slightly Random Sources, J. Comput. System Sci., 33:75-87, 1986.
    • (1986) J. Comput. System Sci. , vol.33 , pp. 75-87
    • Santha, M.1    Vazirani, U.2
  • 31
    • 0024019629 scopus 로고
    • Expanders, Randomness, or Time Versus Space
    • M. Sipser, Expanders, Randomness, or Time Versus Space, J. Comput. System Sci., 36:379-383, 1988.
    • (1988) J. Comput. System Sci. , vol.36 , pp. 379-383
    • Sipser, M.1
  • 33
    • 0000472681 scopus 로고
    • Explicit Construction of Concentrators from Generalized N-gons
    • R. M. Tanner, Explicit Construction of Concentrators from Generalized N-gons, SIAM J. Algebraic Discrete Methods, 5:287-293, 1984.
    • (1984) SIAM J. Algebraic Discrete Methods , vol.5 , pp. 287-293
    • Tanner, R.M.1
  • 36
    • 51249175241 scopus 로고
    • Strong Communication Complexity or Generating Quasi-Random Sequences from Two Communicating Semi-Random Sources
    • U. Vazirani, Strong Communication Complexity or Generating Quasi-Random Sequences from Two Communicating Semi-Random Sources, Combinatorica, 7(4):375-392, 1987.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 375-392
    • Vazirani, U.1
  • 38
    • 0003087344 scopus 로고
    • Notes by G. E. Forsythe, National Bureau of Standards, Applied Math Series, Pitman, Boston, MA
    • J. von Neumann, Various Techniques Used in Connection with Random Digits, Notes by G. E. Forsythe, National Bureau of Standards, Applied Math Series, Vol. 12, Pitman, Boston, MA, 1951, pp. 36-38. Reprinted in Von Neumann's Collected Works, Vol. 5, Pergamon, New York, 1963, pp. 768-770.
    • (1951) Various Techniques Used in Connection with Random Digits , vol.12 , pp. 36-38
  • 39
    • 0038579951 scopus 로고
    • Reprinted, Pergamon, New York
    • J. von Neumann, Various Techniques Used in Connection with Random Digits, Notes by G. E. Forsythe, National Bureau of Standards, Applied Math Series, Vol. 12, Pitman, Boston, MA, 1951, pp. 36-38. Reprinted in Von Neumann's Collected Works, Vol. 5, Pergamon, New York, 1963, pp. 768-770.
    • (1963) Von Neumann's Collected Works , vol.5 , pp. 768-770


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.