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Abstract: . Let E=Fp be an elliptic curve defined over a finite field, and let S (Update)
Cited by: More
A Survey of Public-Key Cryptosystems - Koblitz, Menezes (Correct)
Index Calculus for Abelian Varieties and the Elliptic Curve.. - Gaudry (2004) (Correct)
Elliptic Curve Discrete Logarithms And Wieferich Primes - Cheon, Lee, Hahn, Chee (2000) (Correct)
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1.0: Analysis of the Xedni Calculus Attack - Jacobson, Koblitz, Silverman.. (1999) (Correct)
0.5: Rational Points On Elliptic Surfaces - Silverman (1998) (Correct)
0.5: The p-adic L-functions of modular elliptic curves - Bertolini, Darmon (2000) (Correct)
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7: Analysis of the Xedni Calculus Attack - Jacobson, Koblitz et al. - 1999
6: Use of elliptic curves in cryptography (context) - Miller - 1986
6: Fermat quotients and the polynomial time discrete log algorithm for anomalous el.. (context) - Satoh, Araki - 1997
BibTeX entry: (Update)
J. H. Silverman, The xedni calculus and the elliptic curve discrete logarithm problem, preprint. http://citeseer.ist.psu.edu/silverman99xedni.html More
@article{ silverman00xedni,
author = "Joseph H. Silverman",
title = "The Xedni Calculus and the Elliptic Curve Discrete Logarithm Problem",
journal = "Designs, Codes and Cryptography",
volume = "20",
number = "1",
pages = "5-40",
year = "2000",
url = "citeseer.ist.psu.edu/silverman99xedni.html" }
Citations (may not include all citations):257 Elliptic curve cryptosystems (context) - Koblitz - 1987
237 The Arithmetic of Elliptic Curves (context) - Silverman - 1986
228 Use of elliptic curves in cryptography (context) - Miller - 1986
134 Factoring integers with elliptic curves (context) - Lenstra - 1987
63 Algorithms for Modular Elliptic Curves (context) - Cremona - 1997
26 A Course in Computational Number Theory (context) - Cohen - 1993
24 Extended gcd and Hermite normal form algorithms via lattice .. - Havas, Majewski et al. - 1998
20 Rational points on elliptic curves (context) - Silverman, Tate - 1992
16 Elliptic curve discrete logarithms and the index calculus - Silverman, Suzuki
11 Analysis of the Xedni Calculus Attack - Jacobson, Koblitz et al. - 1999
9 The canonical height and integral points on elliptic curves (context) - Hindry, Silverman - 1988
9 Formules explicites et minoration de conducteurs de vari'et'.. (context) - Mestre - 1986
5 a la notion de rang d (context) - N'eron, et et al. - 1952
5 Variation of the root number in families of elliptic curves (context) - Rohrlich - 1993
2 Modular Functions of One Variable (context) - Birch, Swinnerton-Dyer et al. - 1975
2 Specializations of finitely generated subgroups of abelian v.. (context) - Masser - 1989
2 Addendum to a paper of Harada and Lang (context) - Connell - 1992
1 Computing canonical heights with little (context) - heights, or et al. - 1997
1 Short solutions of AX = B using a LLL-based Hermite normal f.. - Matthews - 1998
1 An algorithm to compute w (context) - compute
1 L'ensemble exceptionnel dans la conjecture de Szpiro (context) - Fouvry, Nair et al. - 1992
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://cacr.math.uwaterloo.ca/tech_reports.html): More
Computing Discrete Logarithms in High-Genus Hyperelliptic.. - Enge (1999) (Correct)
Determining the Maximum Consistent Set of Shares in a.. - Stinson, Wei (1999) (Correct)
Analysis of the Xedni Calculus Attack - Jacobson, Koblitz, Silverman.. (1999) (Correct)
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