Computational Aspects of Curves of Genus at Least 2 (1996)

by Bjorn Poonen
Venue:Algorithmic number theory. 5th international symposium. ANTS-II
Citations:14 - 3 self

Active Bibliography

59 Counting Points on Hyperelliptic Curves over Finite Fields – Pierrick Gaudry, Robert Harley
30 On the performance of hyperelliptic cryptosystems – Nigel P. Smart - 1999
Constructing Abelian Varieties for Pairing-Based Cryptography – David Stephen Freeman, David Stephen Freeman, David Stephen Freeman, Professor Kenneth, A. Ribet, Professor Edward, F. Schaefer
2 Computing Rational Points on Curves – Bjorn Poonen - 2000
12 Analysis of the Xedni calculus attack – Michael J. Jacobson, Neal Koblitz, Joseph H. Silverman, Andreas Stein, Edlyn Teske - 2000
Independent Model: – Duc Khiem Huynh, Independent Model
16 Investigations of zeros near the central point of elliptic curve L-functions – Steven J. Miller
4 EXPLICIT CHABAUTY OVER NUMBER FIELDS – Samir Siksek - 2009
47 Winding quotients and some variants of Fermat’s Last Theorem – Henri Darmon , Loïc Merel - 2007
1 Elliptic curves, L-functions, and CM-points – Shou-wu Zhang - 2002
2 Almost Rational Torsion Points on Semistable Elliptic Curves – Frank Calegari - 2000
1 Abelian Varieties and the Mordell–Lang Conjecture – Barry Mazur
5 Generating genus two hyperelliptic curves over large . . . – Takakazu Satoh - 2008
A DISCRETE LOGARITHM ATTACK ON ELLIPTIC CURVES – Otto Johnston
26 The Diffie-Hellman Protocol – Ueli M. Maurer, Stefan Wolf - 1999
38 The Relationship Between Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms – Ueli M. Maurer , Stefan Wolf - 1998
37 Construction of secure random curves of genus 2 over prime fields – Pierrick Gaudry, Éric Schost - 2004
33 Large Torsion Subgroups Of Split Jacobians Of Curves Of Genus Two Or Three – Everett W. Howe, Franck Leprévost, Bjorn Poonen - 1998
78 An algorithm for solving the discrete log problem on hyperelliptic curves – Pierrick Gaudry - 2000