메뉴 건너뛰기




Volumn 6650 LNCS, Issue , 2011, Pages 191-232

In a world of P=BPP

(1)  Goldreich, Oded a  

a NONE

Author keywords

BPP; derandomization; FPTAS; promise problems; pseudorandom generators; randomized constructions; search problems

Indexed keywords

BPP; DERANDOMIZATION; FPTAS; PROMISE PROBLEMS; PSEUDORANDOM GENERATORS; SEARCH PROBLEM;

EID: 84857572805     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-22670-0_20     Document Type: Article
Times cited : (35)

References (27)
  • 1
    • 79960561408 scopus 로고    scopus 로고
    • Derandomizing arthur-merlin games and approximate counting implies exponential-size lower bounds
    • to appear
    • Aydinlioglu, B., Gutfreund, D., Hitchcock, J.M., Kawachi, A.: Derandomizing Arthur-Merlin Games and Approximate Counting Implies Exponential-Size Lower Bounds. Computational Complexity (to appear)
    • Computational Complexity
    • Aydinlioglu, B.1    Gutfreund, D.2    Hitchcock, J.M.3    Kawachi, A.4
  • 2
    • 0021522644 scopus 로고
    • How to generate cryptographically strong sequences of pseudo-random bits
    • Preliminary version in 23rd FOCS, pp. 80-91 (1982)
    • Blum, M., Micali, S.: How to Generate Cryptographically Strong Sequences of Pseudo-Random Bits. In: SICOMP, vol. 13, pp. 850-864 (1984); Preliminary version in 23rd FOCS, pp. 80-91 (1982)
    • (1984) SICOMP , vol.13 , pp. 850-864
    • Blum, M.1    Micali, S.2
  • 3
    • 0002739272 scopus 로고
    • On the power of two-point based sampling
    • Chor, B., Goldreich, O.: On the Power of Two-Point Based Sampling. Jour. of Complexity 5, 96-106 (1989)
    • (1989) Jour. of Complexity , vol.5 , pp. 96-106
    • Chor, B.1    Goldreich, O.2
  • 4
    • 0021420540 scopus 로고
    • The complexity of promise problems with applications to public-key cryptography
    • Even, S., Selman, A.L., Yacobi, Y.: The Complexity of Promise Problems with Applications to Public-Key Cryptography. Inform. and Control 61, 159-173 (1984)
    • (1984) Inform. and Control , vol.61 , pp. 159-173
    • Even, S.1    Selman, A.L.2    Yacobi, Y.3
  • 5
    • 0034873507 scopus 로고    scopus 로고
    • Comparing notions of full derandomization
    • Fortnow, L.: Comparing Notions of Full Derandomization. In: 16th CCC, pp. 28-34 (2001)
    • (2001) 16th CCC , pp. 28-34
    • Fortnow, L.1
  • 6
    • 0038784477 scopus 로고    scopus 로고
    • A proof of alon's second eigenvalue conjecture
    • Friedman, J.: A Proof of Alon's Second Eigenvalue Conjecture. In: 35th STOC, pp. 720-724 (2003)
    • (2003) 35th STOC , pp. 720-724
    • Friedman, J.1
  • 11
    • 0021409284 scopus 로고
    • Probabilistic encryption
    • Preliminary version in 14th STOC (1982)
    • Goldwasser, S., Micali, S.: Probabilistic Encryption. JCSS 28(2), 270-299 (1984); Preliminary version in 14th STOC (1982)
    • (1984) JCSS , vol.28 , Issue.2 , pp. 270-299
    • Goldwasser, S.1    Micali, S.2
  • 12
    • 0023985540 scopus 로고
    • Complexity measures for public-key cryptosystems
    • Grollmann, J., Selman, A.L.: Complexity Measures for Public-Key Cryptosystems. In: SICOMP, vol. 17(2), pp. 309-335 (1988)
    • (1988) SICOMP , vol.17 , Issue.2 , pp. 309-335
    • Grollmann, J.1    Selman, A.L.2
  • 14
    • 0000672059 scopus 로고
    • On the difference between consecutive primes
    • Huxley, M.N.: On the Difference Between Consecutive Primes. Invent. Math. 15, 164-170 (1972)
    • (1972) Invent. Math. , vol.15 , pp. 164-170
    • Huxley, M.N.1
  • 15
    • 23844442856 scopus 로고    scopus 로고
    • In search of an easy witness: Exponential time vs probabilistic polynomial time
    • Preliminary version in 16th CCC, 2001
    • Impagliazzo, R., Kabanets, V., Wigderson, A.: In Search of an Easy Witness: Exponential Time vs Probabilistic Polynomial Time. JCSS 65(4), 672-694 (2002); Preliminary version in 16th CCC (2001)
    • (2002) JCSS , vol.65 , Issue.4 , pp. 672-694
    • Impagliazzo, R.1    Kabanets, V.2    Wigderson, A.3
  • 16
    • 0030706544 scopus 로고    scopus 로고
    • P=BPP if E requires exponential circuits: Derandomizing the XOR lemma
    • Impagliazzo, R., Wigderson, A.: P=BPP if E requires exponential circuits: Derandomizing the XOR Lemma. In: 29th STOC, pp. 220-229 (1997)
    • (1997) 29th STOC , pp. 220-229
    • Impagliazzo, R.1    Wigderson, A.2
  • 17
    • 0035734550 scopus 로고    scopus 로고
    • Randomness vs. time: De-randomization under a uniform assumption
    • Preliminary version in 39th FOCS (1998)
    • Impagliazzo, R., Wigderson, A.: Randomness vs. Time: De-randomization under a uniform assumption. JCSS 63(4), 672-688 (2001); Preliminary version in 39th FOCS (1998)
    • (2001) JCSS , vol.63 , Issue.4 , pp. 672-688
    • Impagliazzo, R.1    Wigderson, A.2
  • 18
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • Jerrum, M., Valiant, L., Vazirani, V.V.: Random Generation of Combinatorial Structures from a Uniform Distribution. In: TCS, vol. 43, pp. 169-188 (1986)
    • (1986) TCS , vol.43 , pp. 169-188
    • Jerrum, M.1    Valiant, L.2    Vazirani, V.V.3
  • 19
    • 15244352005 scopus 로고    scopus 로고
    • Derandomizing polynomial identity tests means proving circuit lower bounds
    • Preliminary version in 35th STOC (2003)
    • Kabanets, V., Impagliazzo, R.: Derandomizing Polynomial Identity Tests Means Proving Circuit Lower Bounds. Computational Complexity 13, 1-46 (2003); Preliminary version in 35th STOC (2003)
    • (2003) Computational Complexity , vol.13 , pp. 1-46
    • Kabanets, V.1    Impagliazzo, R.2
  • 20
    • 0028516244 scopus 로고
    • Hardness vs randomness
    • Preliminary version in 29th FOCS (1988)
    • Nisan, N., Wigderson, A.: Hardness vs Randomness. JCSS 49(2), 149-167 (1994); Preliminary version in 29th FOCS (1988)
    • (1994) JCSS , vol.49 , Issue.2 , pp. 149-167
    • Nisan, N.1    Wigderson, A.2
  • 21
    • 0008519096 scopus 로고
    • One-way functions are essential for non-trivial zero-knowledge
    • IEEE Comp. Soc. Press, Los Alamitos
    • Ostrovsky, R., Wigderson, A.: One-Way Functions are Essential for Non-Trivial Zero-Knowledge. In: 2nd Israel Symp. on Theory of Computing and Systems, pp. 3-17. IEEE Comp. Soc. Press, Los Alamitos (1993)
    • (1993) 2nd Israel Symp. on Theory of Computing and Systems , pp. 3-17
    • Ostrovsky, R.1    Wigderson, A.2
  • 22
    • 33748119261 scopus 로고    scopus 로고
    • Pseudorandom walks on regular digraphs and the RL vs. L problem
    • Details in ECCC, TR05-022
    • Reingold, O., Trevisan, L., Vadhan, S.: Pseudorandom walks on regular digraphs and the RL vs. L problem. In: 38th STOC, pp. 457-466 (2006); See details in ECCC, TR05-022.
    • (2006) 38th STOC , pp. 457-466
    • Reingold, O.1    Trevisan, L.2    Vadhan, S.3
  • 23
    • 78349313026 scopus 로고    scopus 로고
    • Low-end uniform hardness vs randomness tradeoffs for AM
    • Preliminary version in 39th STOC (2007)
    • Shaltiel, R., Umans, C.: Low-end Uniform Hardness vs Randomness Tradeoffs for AM. SICOMP 39(3), 1006-1037 (2009); Preliminary version in 39th STOC (2007)
    • (2009) SICOMP , vol.39 , Issue.3 , pp. 1006-1037
    • Shaltiel, R.1    Umans, C.2
  • 24
    • 38749129723 scopus 로고    scopus 로고
    • Pseudorandomness and average-case complexity via uniform reductions
    • Preliminary version in 17th CCC (2002)
    • Trevisan, L., Vadhan, S.: Pseudorandomness and Average-Case Complexity Via Uniform Reductions. Computational Complexity 16(4), 331-364 (2007); Preliminary version in 17th CCC (2002)
    • (2007) Computational Complexity , vol.16 , Issue.4 , pp. 331-364
    • Trevisan, L.1    Vadhan, S.2
  • 25
    • 0142027847 scopus 로고    scopus 로고
    • Pseudo-random generators for all hardness
    • Preliminary version in 34th STOC (2002)
    • Umans, C.: Pseudo-random Generators for all Hardness. JCSS 67(2), 419-440 (2002); Preliminary version in 34th STOC (2002)
    • (2002) JCSS , vol.67 , Issue.2 , pp. 419-440
    • Umans, C.1
  • 26
    • 34547839124 scopus 로고    scopus 로고
    • An unconditional study of computational zero knowledge
    • Preliminary version in 45th FOCS (2004)
    • Vadhan, S.: An Unconditional Study of Computational Zero Knowledge. SICOMP 36(4), 1160-1214 (2006); Preliminary version in 45th FOCS (2004)
    • (2006) SICOMP , vol.36 , Issue.4 , pp. 1160-1214
    • Vadhan, S.1
  • 27
    • 0020301290 scopus 로고
    • Theory and application of trapdoor functions
    • Yao, A.C.: Theory and Application of Trapdoor Functions. In: 23rd FOCS, pp. 80-91 (1982)
    • (1982) 23rd FOCS , pp. 80-91
    • Yao, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.