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Volumn 2020, Issue , 2001, Pages 308-318

Analysis of the weil descent attack of gaudry, hess and smart

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY;

EID: 33847320580     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (45)

References (24)
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    • (1994) Algorithmic Number Theory, LNCS , vol.877 , pp. 28-40
    • Adleman, L.1    Demarrais, J.2    Huang, M.3
  • 2
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    • Computing in the jacobian of a hyperelliptic curve
    • D. Cantor, “Computing in the jacobian of a hyperelliptic curve", Mathematics of Computation, 48 (1987), 95-101.
    • (1987) Mathematics of Computation , vol.48 , pp. 95-101
    • Cantor, D.1
  • 6
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    • Applications of arithmetical geometry to cryptographic constructions
    • to appear. Also available from
    • G. Frey, “Applications of arithmetical geometry to cryptographic constructions", Proceedings of the Fifth International Conference on Finite Fields and Applications, to appear. Also available from http://www.exp-math.uni-essen.de/zahlentheorie/preprints/Index.html
    • Proceedings of the Fifth International Conference on Finite Fields and Applications
    • Frey, G.1
  • 7
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
    • G. Frey and H. Rück, “A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves", Mathematics of Computation, 62 (1994), 865-874.
    • (1994) Mathematics of Computation , vol.62 , pp. 865-874
    • Frey, G.1    Rück, H.2
  • 8
    • 84961355784 scopus 로고    scopus 로고
    • A cryptographic application of Weil descent
    • S. Galbraith and N. Smart, “A cryptographic application of Weil descent", Codes and Cryptography, LNCS 1746, 1999, 191-200.
    • (1999) Codes and Cryptography, LNCS , vol.1746 , pp. 191-200
    • Galbraith, S.1    Smart, N.2
  • 10
    • 84948978775 scopus 로고    scopus 로고
    • An algorithm for solving the discrete log problem on hyperelliptic curves
    • P. Gaudry, “An algorithm for solving the discrete log problem on hyperelliptic curves", Advances in Cryptology - Eurocrypt 2000, LNCS 1807, 2000, 19-34.
    • (2000) Advances in Cryptology - Eurocrypt 2000, LNCS , vol.1807 , pp. 19-34
    • Gaudry, P.1
  • 12
    • 84937588064 scopus 로고    scopus 로고
    • Internet Engineering Task Force, The OAKLEY Key Determination Protocol, IETF RFC 2412, November
    • Internet Engineering Task Force, The OAKLEY Key Determination Protocol, IETF RFC 2412, November 1998.
    • (1998)
  • 13
  • 15
    • 84937588065 scopus 로고    scopus 로고
    • National Institute of Standards and Technology, Digital Signature Standard, FIPS Publication 186-2, February
    • National Institute of Standards and Technology, Digital Signature Standard, FIPS Publication 186-2, February 2000.
    • (2000)
  • 16
    • 17444376558 scopus 로고    scopus 로고
    • Parallel collision search with cryptanalytic applications
    • P. van Oorschot and M. Wiener, “Parallel collision search with cryptanalytic applications", Journal of Cryptology, 12 (1999), 1-28.
    • (1999) Journal of Cryptology , vol.12 , pp. 1-28
    • Van Oorschot, P.1    Wiener, M.2
  • 17
    • 84947748768 scopus 로고    scopus 로고
    • Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves
    • S. Paulus and A. Stein, “Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves", Algorithmic Number Theory, LNCS 1423, 1998, 576-591.
    • (1998) Algorithmic Number Theory, LNCS , vol.1423 , pp. 576-591
    • Paulus, S.1    Stein, A.2
  • 18
    • 84919085619 scopus 로고
    • An improved algorithm for computing logarithms over GF(P) and its cryptographic significance
    • S. Pohlig and M. Hellman, “An improved algorithm for computing logarithms over GF(p) and its cryptographic significance", IEEE Transactions on Information Theory, 24 (1978), 106-110.
    • (1978) IEEE Transactions on Information Theory , vol.24 , pp. 106-110
    • Pohlig, S.1    Hellman, M.2
  • 19
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    • Monte Carlo methods for index computation mod p
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  • 20
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    • Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves
    • T. Satoh and K. Araki, “Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves", Commentarii Mathematici Universitatis Sancti Pauli, 47 (1998), 81-92.
    • (1998) Commentarii Mathematici Universitatis Sancti Pauli , vol.47 , pp. 81-92
    • Satoh, T.1    Araki, K.2
  • 21
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    • Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p
    • I. Semaev, “Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p", Mathematics of Computation, 67 (1998), 353-356.
    • (1998) Mathematics of Computation , vol.67 , pp. 353-356
    • Semaev, I.1
  • 22
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    • The discrete logarithm problem on elliptic curves of trace one
    • N. Smart, “The discrete logarithm problem on elliptic curves of trace one", Journal of Cryptology, 12 (1999), 193-196.
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  • 23
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    • Efficient arithmetic on Koblitz curves
    • J. Solinas, “Efficient arithmetic on Koblitz curves", Designs, Codes and Cryptography, 19 (2000), 195-249.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.