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Volumn 39, Issue 7, 2010, Pages 2761-2822

On the implementation of huge random objects

Author keywords

Monotone graph properties; Pseudorandomness; Random codes; Random functions; Random graphs; Random walks on regular graphs

Indexed keywords

GRAPH PROPERTIES; PSEUDORANDOMNESS; RANDOM CODES; RANDOM FUNCTIONS; RANDOM GRAPHS; RANDOM WALK;

EID: 77956027804     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/080722771     Document Type: Article
Times cited : (35)

References (40)
  • 2
    • 0001011699 scopus 로고
    • A fast and simple randomized algorithm for the maximal independent set problem
    • N. ALON, L. BABAI, AND A. ITAI, A fast and simple randomized algorithm for the maximal independent set problem, J. Algorithms, 7 (1986), pp. 567-583.
    • (1986) J. Algorithms , vol.7 , pp. 567-583
    • Alon, N.1    Babai, L.2    Itai, A.3
  • 4
    • 0003589606 scopus 로고
    • Analytic methods in the analysis and design of number-theoretic algorithms
    • MIT Press, Cambridge, MA
    • E. BACH, Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms, ACM Disting. Diss., MIT Press, Cambridge, MA, 1985.
    • (1985) ACM Disting. Diss.
    • Bach, E.1
  • 6
    • 0021522644 scopus 로고
    • HOW to generate cryptographically strong sequences of pseudorandom bits
    • M. BLUM AND S. MICALI, HOW to generate cryptographically strong sequences of pseudorandom bits, SIAM J. Comput., 13 (1984), pp. 850-864.
    • (1984) SIAM J. Comput. , vol.13 , pp. 850-864
    • Blum, M.1    Micali, S.2
  • 7
    • 35048837097 scopus 로고    scopus 로고
    • A stateful implementation of a random, function supporting parity queries over hypercubes
    • Lecture Notes in Comput. Sci. Springer, Berlin
    • A. BOGDANOV AND H. WEE, A stateful implementation of a random, function supporting parity queries over hypercubes, in Proceedings of the 8th International Workshop on Randomization and Computation (RANDOM '04), Lecture Notes in Comput. Sci. 3122, Springer, Berlin, 2004, pp. 298-309.
    • (2004) Proceedings of the 8th International Workshop on Randomization and Computation (RANDOM '04) , vol.3122 , pp. 298-309
    • Bogdanov, A.1    Wee, H.2
  • 10
    • 0002768224 scopus 로고
    • On a problem, of oppenheim, concerning "factorisatio numerorum
    • E. R. CANFIELD, P. ERDÖS, AND C. POMERANCE, On a Problem, of Oppenheim, Concerning "factorisatio numerorum," J. Number Theory, 17 (1983), pp. 1-28.
    • (1983) J. Number Theory , vol.17 , pp. 1-28
    • Canfield, E.R.1    Erdös, P.2    Pomerance, C.3
  • 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 (1989), pp. 96-106.
    • (1989) J. Complexity , vol.5 , pp. 96-106
    • Chor, B.1    Goldreich, O.2
  • 12
    • 85028868533 scopus 로고    scopus 로고
    • Collision free hash functions and public key signature schemes
    • Lecture Notes in Comput. Sci. Springer-Verlag, New York
    • I. DÅMGARD, Collision free hash functions and public key signature schemes, in Advances in Cryptography - EuroCrypt '87, Lecture Notes in Comput. Sci. 304, Springer-Verlag, New York, pp. 203-216.
    • Advances in Cryptography - EuroCrypt '87 , vol.304 , pp. 203-216
    • Dåmgard, I.1
  • 15
    • 84915939958 scopus 로고    scopus 로고
    • Random, mapping statistics
    • Lecture Notes in Comput. Sci. Springer, Berlin
    • P. FLAJOLET AND A.M. ODLYZKO, Random, mapping statistics, in Advances in Cryptology-EuroCrypt '89, Lecture Notes in Comput. Sci. 434, Springer, Berlin, pp. 329-354.
    • Advances in Cryptology - EuroCrypt '89 , vol.434 , pp. 329-354
    • Flajolet, P.1    Odlyzko, A.M.2
  • 17
    • 0025430107 scopus 로고
    • A note on computational indistinguishability
    • O. GOLDREICH, A note on computational indistinguishability, Inform. Process. Lett., 34 (1990), pp. 277-281.
    • (1990) Inform. Process. Lett. , vol.34 , pp. 277-281
    • Goldreich, O.1
  • 22
    • 0000171993 scopus 로고    scopus 로고
    • Property testing in bounded degree graphs
    • O. GOLDREICH AND D. RON, Property testing in bounded degree graphs, Algorithmica, 32 (2002), pp. 302-343.
    • (2002) Algorithmica , vol.32 , pp. 302-343
    • Goldreich, O.1    Ron, D.2
  • 25
    • 0345253860 scopus 로고    scopus 로고
    • A pseudorandom generator from any one-way function
    • J. HASTAD, R. IMPAGLIAZZO, L. A. LEVIN, AND M. LUBY, A pseudorandom generator from any one-way function, SIAM J. Comput., 28 (1999), pp. 1364-1396.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1364-1396
    • Hastad, J.1    Impagliazzo, R.2    Levin, L.A.3    Luby, M.4
  • 27
    • 51249183654 scopus 로고
    • Explicit construction of regular graphs without small cycles
    • W. IMRICH, Explicit construction of regular graphs without small cycles, Combinatorica, 4 (1984), pp. 53-59.
    • (1984) Combinatorica , vol.4 , pp. 53-59
    • Imrich, W.1
  • 28
    • 84974146770 scopus 로고
    • The numbers of spanning trees, hamilton cycles and perfect matchings in a random graph
    • S. JANSON, The numbers of spanning trees, Hamilton cycles and perfect matchings in a random graph, Combin. Probab. Comput., 3 (1994), pp. 97-126.
    • (1994) Combin. Probab. Comput. , vol.3 , pp. 97-126
    • Janson, S.1
  • 30
    • 0011514730 scopus 로고
    • Explicit construction of graphs with arbitrary large girth and of large size
    • F. LAZEBNIK AND V. A. USTIMENKO, Explicit construction of graphs with arbitrary large girth and of large size, Discrete Appl. Math., 60 (1995), pp. 275-284.
    • (1995) Discrete Appl. Math. , vol.60 , pp. 275-284
    • Lazebnik, F.1    Ustimenko, V.A.2
  • 31
    • 0022663555 scopus 로고
    • Average case complete problems
    • L. A. LEVIN, Average case complete problems, SIAM J. Comput., 15 (1986), pp. 285-286.
    • (1986) SIAM J. Comput. , vol.15 , pp. 285-286
    • Levin, L.A.1
  • 34
    • 0023984964 scopus 로고
    • HOW to construct pseudorandom permutations from pseudorandom functions
    • M. LUBY AND C. RACKOFF, HOW to construct pseudorandom permutations from pseudorandom functions, SIAM J. Comput., 17 (1988), pp. 373-386.
    • (1988) SIAM J. Comput. , vol.17 , pp. 373-386
    • Luby, M.1    Rackoff, C.2
  • 35
    • 51249182252 scopus 로고
    • Explicit construction of graphs without short cycles and low density codes
    • G. A. MARGULIS, Explicit construction of graphs without short cycles and low density codes, Combinatorica, 2 (1982), pp. 71-78.
    • (1982) Combinatorica , vol.2 , pp. 71-78
    • Margulis, G.A.1
  • 38
    • 85083035782 scopus 로고    scopus 로고
    • Constructing pseudo-random permutations with a prescribed structure
    • M. NAOR AND O. REINGOLD, Constructing pseudo-random permutations with a prescribed structure, J. Cryptology, 15 (2002), pp. 97-102.
    • (2002) J. Cryptology , vol.15 , pp. 97-102
    • Naor, M.1    Reingold, O.2
  • 39
    • 0037635114 scopus 로고    scopus 로고
    • Permutation graphs, fast forward permutations, and sampling the cycle structure of a permutation
    • B. TSABAN, Permutation graphs, fast forward permutations, and sampling the cycle structure of a permutation, J. Algorithms, 47 (2003), pp. 104-121.
    • (2003) J. Algorithms , vol.47 , pp. 104-121
    • Tsaban, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.