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Volumn 17, Issue 1, 2008, Pages 38-69

On pseudorandom generators with linear stretch in NC0

Author keywords

Constant depth circuits; Cryptography; nc0; Pseudorandom generators

Indexed keywords


EID: 45049086177     PISSN: 10163328     EISSN: 14208954     Source Type: Journal    
DOI: 10.1007/s00037-007-0237-6     Document Type: Conference Paper
Times cited : (41)

References (31)
  • 1
    • 70349358874 scopus 로고    scopus 로고
    • More on average case vs approximation complexity
    • M. ALEKHNOVICH (2003). More on average case vs approximation complexity. In Proc. 44th FOCS, 298-307.
    • (2003) Proc. 44th FOCS , pp. 298-307
    • ALEKHNOVICH, M.1
  • 2
    • 0001011699 scopus 로고
    • A fast and simple randomized parallel algorithm for the maximal independent set problem
    • N. ALON, L. BABAI & A. ITAI (1986). A fast and simple randomized parallel algorithm for the maximal independent set problem. J. of Algorithms 7(4), 567-583.
    • (1986) J. of Algorithms , vol.7 , Issue.4 , pp. 567-583
    • ALON, N.1    BABAI, L.2    ITAI, A.3
  • 3
    • 84990704735 scopus 로고
    • Random Cayley graphs and expanders
    • N. ALON & Y. ROICHMAN (1994). Random Cayley graphs and expanders. Random Struct. Algorithms 5(2), 271-285.
    • (1994) Random Struct. Algorithms , vol.5 , Issue.2 , pp. 271-285
    • ALON, N.1    ROICHMAN, Y.2
  • 4
    • 34547843026 scopus 로고    scopus 로고
    • 0. SIAM J. Comput. 36(4), 845-888. Preliminary version in Proc. 45th FOCS, 2004.
    • 0. SIAM J. Comput. 36(4), 845-888. Preliminary version in Proc. 45th FOCS, 2004.
  • 5
    • 0032058198 scopus 로고    scopus 로고
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN & M. SZEGEDY (1998). Proof verification and hardness of approximation problems. J. of the ACM 45(3), 501-555. Preliminary version in Proc. 33rd FOCS, 1992.
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN & M. SZEGEDY (1998). Proof verification and hardness of approximation problems. J. of the ACM 45(3), 501-555. Preliminary version in Proc. 33rd FOCS, 1992.
  • 6
    • 0031651077 scopus 로고    scopus 로고
    • S. ARORA & S. SAFRA (1998). Probabilistic checking of proofs: A new characterization of NP. J. of the ACM 45(1), 70-122. Preliminary version in Proc. 33rd FOCS, 1992.
    • S. ARORA & S. SAFRA (1998). Probabilistic checking of proofs: A new characterization of NP. J. of the ACM 45(1), 70-122. Preliminary version in Proc. 33rd FOCS, 1992.
  • 8
    • 84877639283 scopus 로고
    • Cryptographic primitives based on hard learning problems
    • Advances in Cryptology: Proc. of CRYPTO '93, of
    • A. BLUM, M. FURST, M. KEARNS & R. J. LIPTON (1994). Cryptographic primitives based on hard learning problems. In Advances in Cryptology: Proc. of CRYPTO '93, volume 773 of LNCS, 278-291.
    • (1994) LNCS , vol.773 , pp. 278-291
    • BLUM, A.1    FURST, M.2    KEARNS, M.3    LIPTON, R.J.4
  • 9
    • 0021522644 scopus 로고    scopus 로고
    • M. BLUM & S. MICALI (1984). How to generate cryptographically strong sequences of pseudo-random bits. SIAM J. Comput. 13, 850-864. Preliminary version in Proc. 23rd FOCS, 1982.
    • M. BLUM & S. MICALI (1984). How to generate cryptographically strong sequences of pseudo-random bits. SIAM J. Comput. 13, 850-864. Preliminary version in Proc. 23rd FOCS, 1982.
  • 10
  • 12
    • 34848837353 scopus 로고    scopus 로고
    • Correcting errors without leaking partial information
    • Y. DODIS & A. SMITH (2005). Correcting errors without leaking partial information. In Proc. 37th STOC, 654-663.
    • (2005) Proc. 37th STOC , pp. 654-663
    • DODIS, Y.1    SMITH, A.2
  • 13
    • 0036038682 scopus 로고    scopus 로고
    • Relations between average case complexity and approximation complexity
    • U. FEIGE (2002). Relations between average case complexity and approximation complexity. In Proc. of 34th STOC, 534-543.
    • (2002) Proc. of 34th STOC , pp. 534-543
    • FEIGE, U.1
  • 16
    • 45049083974 scopus 로고    scopus 로고
    • O. GOLDREICH (2001b). Randomized methods in computation - Lecture notes. http://www.wisdom.weizmann.ac.il/~oded/rnd.html. O. GOLDREICH (2004). Foundations of cryptography: Basic applications. Cambridge University Press.
    • O. GOLDREICH (2001b). Randomized methods in computation - Lecture notes. http://www.wisdom.weizmann.ac.il/~oded/rnd.html. O. GOLDREICH (2004). Foundations of cryptography: Basic applications. Cambridge University Press.
  • 17
    • 0027797493 scopus 로고    scopus 로고
    • O. GOLDREICH, H. KRAWCZYK & M. LUBY (1993). On the existence of pseudorandom generators. SIAM J. Comput. 22(6), 1163-1175. Preliminary version in Proc. 29th FOCS, 1988.
    • O. GOLDREICH, H. KRAWCZYK & M. LUBY (1993). On the existence of pseudorandom generators. SIAM J. Comput. 22(6), 1163-1175. Preliminary version in Proc. 29th FOCS, 1988.
  • 18
    • 0031504510 scopus 로고    scopus 로고
    • Tiny families of functions with random properties: A quality-size trade-off for hashing
    • O. GOLDREICH & A. WIGDERSON (1997). Tiny families of functions with random properties: A quality-size trade-off for hashing. Random Struct. Algorithms 11(4), 315-343.
    • (1997) Random Struct. Algorithms , vol.11 , Issue.4 , pp. 315-343
    • GOLDREICH, O.1    WIGDERSON, A.2
  • 19
    • 0345253860 scopus 로고    scopus 로고
    • A pseudorandom generator from any one-way function
    • J. HÅSTAD, R. IMPAGLIAZZO, L. A. LEVIN & M. LUBY (1999). A pseudorandom generator from any one-way function. SIAM J. Comput. 28(4), 1364-1396.
    • (1999) SIAM J. Comput , vol.28 , Issue.4 , pp. 1364-1396
    • HÅSTAD, J.1    IMPAGLIAZZO, R.2    LEVIN, L.A.3    LUBY, M.4
  • 20
    • 0344056457 scopus 로고    scopus 로고
    • J. HÅSTAD, A. W. SCHRIFT & A. SHAMIR (1993). The discrete logarithm modulo a composite hides O(n) bits. JCSS 47(3), 376-404. Preliminary version in Proc. 22nd STOC, 1990.
    • J. HÅSTAD, A. W. SCHRIFT & A. SHAMIR (1993). The discrete logarithm modulo a composite hides O(n) bits. JCSS 47(3), 376-404. Preliminary version in Proc. 22nd STOC, 1990.
  • 22
    • 0027641832 scopus 로고    scopus 로고
    • J. NAOR & M. NAOR (1993). Small-bias probability spaces: Efficient constructions and applications. SIAM J. Comput. 22(4), 838-856. Preliminary version in Proc. 22th STOC, 1990.
    • J. NAOR & M. NAOR (1993). Small-bias probability spaces: Efficient constructions and applications. SIAM J. Comput. 22(4), 838-856. Preliminary version in Proc. 22th STOC, 1990.
  • 23
    • 0001448484 scopus 로고
    • Bit commitment using pseudorandomness
    • M. NAOR (1991). Bit commitment using pseudorandomness. J. of Cryptology 4, 151-158.
    • (1991) J. of Cryptology , vol.4 , pp. 151-158
    • NAOR, M.1
  • 24
    • 4243054954 scopus 로고    scopus 로고
    • M. NAOR & O. REINGOLD (2004). Number-theoretic constructions of efficient pseudo-random functions. J. ACM 51(2), 231-262. Preliminary version in Proc. 38th FOCS, 1997.
    • M. NAOR & O. REINGOLD (2004). Number-theoretic constructions of efficient pseudo-random functions. J. ACM 51(2), 231-262. Preliminary version in Proc. 38th FOCS, 1997.
  • 25
    • 0026366408 scopus 로고    scopus 로고
    • CH. PAPADIMITRIOU & M. YANNAKAKIS (1991). Optimization, approximation, and complexity classes. J. of Computer and Systems Sciences 43, 425-440. Preliminary version in Proc. 20th STOC, 1988.
    • CH. PAPADIMITRIOU & M. YANNAKAKIS (1991). Optimization, approximation, and complexity classes. J. of Computer and Systems Sciences 43, 425-440. Preliminary version in Proc. 20th STOC, 1988.
  • 26
    • 0002956996 scopus 로고    scopus 로고
    • J. RADHAKRISHNAN & A. TA-SHMA (2000). Tight bounds for depth-two superconcentrators. SIAM J. Discrete Math. 13(1), 2-24. Preliminary version in Proc. 38th FOCS, 1997.
    • J. RADHAKRISHNAN & A. TA-SHMA (2000). Tight bounds for depth-two superconcentrators. SIAM J. Discrete Math. 13(1), 2-24. Preliminary version in Proc. 38th FOCS, 1997.
  • 27
    • 0344794410 scopus 로고    scopus 로고
    • A complete problem for statistical zero knowledge
    • A. SAHAI & S. VADHAN (2003). A complete problem for statistical zero knowledge. J. of the ACM 50(2), 1-54.
    • (2003) J. of the ACM , vol.50 , Issue.2 , pp. 1-54
    • SAHAI, A.1    VADHAN, S.2
  • 29
    • 0034832181 scopus 로고    scopus 로고
    • A. TA-SHMA, CH. UMANS & D. ZUCKERMAN (2001). Loss-less condensers, unbalanced expanders, and extractors. In Proc. 33rd STOC, 143-152.
    • A. TA-SHMA, CH. UMANS & D. ZUCKERMAN (2001). Loss-less condensers, unbalanced expanders, and extractors. In Proc. 33rd STOC, 143-152.
  • 30
    • 27644449284 scopus 로고    scopus 로고
    • On constructing parallel pseudorandom generators from one-way functions
    • E. VIOLA (2005). On constructing parallel pseudorandom generators from one-way functions. In Proc. 20th Conference on Computational Complexity (CCC), 183-197.
    • (2005) Proc. 20th Conference on Computational Complexity (CCC) , pp. 183-197
    • VIOLA, E.1
  • 31
    • 0020301290 scopus 로고
    • Theory and application of trapdoor functions
    • A. C.-C. YAO (1982). Theory and application of trapdoor functions. In Proc. 23rd FOCS, 80-91.
    • (1982) Proc. 23rd FOCS , pp. 80-91
    • YAO, A.C.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.