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Volumn Part F130073, Issue , 1991, Pages 80-89

Reducing elliptic curve logarithms to logarithms in a finite field

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; POLYNOMIAL APPROXIMATION; PUBLIC KEY CRYPTOGRAPHY;

EID: 85030330304     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/103418.103434     Document Type: Conference Paper
Times cited : (136)

References (19)
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  • 5
    • 84919303956 scopus 로고
    • A subexponential-Time algorithm for computing discrete logarithms over GF(p2)
    • T. EIGamal, "A subexponential-Time algorithm for computing discrete logarithms over GF(p2)", IEEE Transactions on Information Theory, IT-31 (1985), 473-481.
    • (1985) IEEE Transactions on Information Theory, IT-31 , pp. 473-481
    • EIGamal, T.1
  • 8
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz, "Elliptic curve cryptosystems", Mathematics of Computation, 48 (1987), 203-209.
    • (1987) Mathematics of Computation , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 13
    • 0040235097 scopus 로고
    • Fast, rigorous factorization and discrete logarithms algorithms
    • C. Pomerance, "Fast, rigorous factorization and discrete logarithms algorithms", Discrete Algorithms and Complexity (1987), 119-143.
    • (1987) Discrete Algorithms and Complexity , pp. 119-143
    • Pomerance, C.1
  • 14
    • 0001262977 scopus 로고
    • Probabilistic algorithms in finite fields
    • M. Rabin, "Probabilistic algorithms in finite fields", SIAM Journal on Computing, 9 (1980), 273-280.
    • (1980) SIAM Journal on Computing , vol.9 , pp. 273-280
    • Rabin, M.1
  • 15
    • 84972540003 scopus 로고
    • Approximate formulas for some functions of prime numbers
    • J. Rosser and L. Schoentleld, "Approximate formulas for some functions of prime numbers", Illinois Journal of Mathematics, 6 (1962), 64-94.
    • (1962) Illinois Journal of Mathematics , vol.6 , pp. 64-94
    • Rosser, J.1    Schoentleld, L.2
  • 16
    • 84966233278 scopus 로고
    • Elliptic curves over finite fields and the computation of square roots mod p
    • R. Schoof, "Elliptic curves over finite fields and the computation of square roots mod p", Mathematics of Computation, 44 (1985), 483-494.
    • (1985) Mathematics of Computation , vol.44 , pp. 483-494
    • Schoof, R.1
  • 17
    • 38249034734 scopus 로고
    • Nonsingular plane cubic curves over finite fields
    • R. Schoof, "Nonsingular plane cubic curves over finite fields", Journal of Combinatom.al Theory, A 46 (1987), 183-211.
    • (1987) Journal of Combinatom.al Theory A , vol.46 , pp. 183-211
    • Schoof, R.1
  • 19
    • 84968510096 scopus 로고
    • The multiple polynomial quadratic sieve
    • R. Silverman, "The multiple polynomial quadratic sieve", Mathematics of ComputatiO? t, 48 (1987), 329-339.
    • (1987) Mathematics of ComputatiO? T , vol.48 , pp. 329-339
    • Silverman, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.