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Volumn 1423, Issue , 1998, Pages 541-554

Speeding up pollard’s rho method for computing discrete logarithms

Author keywords

[No Author keywords available]

Indexed keywords

HARVESTING; NUMBER THEORY;

EID: 84947761194     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054891     Document Type: Conference Paper
Times cited : (82)

References (18)
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    • Brent, R.P.1
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    • Department of Mathematics, Stanford University
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    • (1989) PhD thesis
    • Greenhalgh, A.1
  • 4
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    • Random walks supported on the random points of Z/nZ
    • M. V. Hildebrand. Random walks supported on the random points of Z/nZ. Probability Theory and Related Fields, 100:191-203, 1994.
    • (1994) Probability Theory and Related Fields , vol.100 , pp. 191-203
    • Hildebrand, M.V.1
  • 5
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    • The art of computer programming
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    • D. E. Knuth. The art of computer programming. Volume 3: Sorting and searching. Addison-Wesley, Reading, Massachusetts, 1973.
    • (1973) Sorting and searching , vol.3
    • Knuth, D.E.1
  • 7
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz. Elliptic curve cryptosystems. Mathematics of Computation, 48:203-209, 1987.
    • (1987) Mathematics of Computation , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 9
    • 84947722232 scopus 로고    scopus 로고
    • Technische Universität Darmstadt
    • LiDIA Group, Technische Universität Darmstadt. LiDIA - A library for computational number theory. Available from http://www.informatik.tu-darmstadt.de/TI/LiDIA.
    • LiDIA - A library for computational number theory
  • 10
    • 85015402934 scopus 로고
    • Uses of elliptic curves in cryptography
    • Lecture Notes in Computer Science
    • V. Miller. Uses of elliptic curves in cryptography. In Advances in Cryptology - CRYPTO '85, volume 218 of Lecture Notes in Computer Science, pages 417-426, 1986.
    • (1986) Advances in Cryptology - CRYPTO '85 , vol.218 , pp. 417-426
    • Miller, V.1
  • 11
    • 84919085619 scopus 로고
    • An improved algorithm for computing logarithms over GF(p) and its cryptographic significance
    • S. C. Pohlig and M. E. Hellman. An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. IEEE-Transactions on Information Theory, 24:106-110, 1978.
    • (1978) IEEE-Transactions on Information Theory , vol.24 , pp. 106-110
    • Pohlig, S.C.1    Hellman, M.E.2
  • 12
    • 84966238549 scopus 로고
    • Monte Carlo methods for index computation (mod p)
    • J. M. Pollard. Monte Carlo methods for index computation (mod p). Mathematics of Computation, 32(143):918-924, 1978.
    • (1978) Mathematics of Computation , vol.32 , Issue.143 , pp. 918-924
    • Pollard, J.M.1
  • 13
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    • A Monte Carlo factoring algorithm with linear storage
    • C. P. Schnorr and H. W. Lenstra, Jr. A Monte Carlo factoring algorithm with linear storage. Mathematics of Computation, 43(167):289-311, 1984.
    • (1984) Mathematics of Computation , vol.43 , Issue.167 , pp. 289-311
    • Schnorr, C.P.1    Lenstra, H.W.2
  • 14
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    • Class number, a theory of factorization and genera
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    • D. Shanks. Class number, a theory of factorization and genera. In Proc. Symp. Pure Math. 20, pages 415-440. AMS, Providence, R.I., 1971.
    • (1971) Proc. Symp. Pure Math. 20 , pp. 415-440
    • Shanks, D.1
  • 16
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    • New algorithms for finite abelian groups
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    • E. Teske. New algorithms for finite abelian groups. PhD thesis, Technische Universität Darmstadt, 1998.
    • (1998) PhD thesis
    • Teske, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.