Constructing hyperelliptic curves of genus 2 suitable for cryptography (2003)

Cached

Download Links

by Annegret Weng
Venue:Math. Comp
Citations:29 - 2 self

Documents Related by Co-Citation

37 Kurven vom Geschlecht 2 und ihre Anwendung in Public-KeyKryptosystemen – A-M Spallek - 1994
20 Examples of genus two CM curves defined over the rationals – Paul Van Wamelen - 1999
50 Construction de courbes de genre 2 à partir de leurs modules – J-F Mestre - 1991
18 The 2-adic CM method for genus 2 curves with application to cryptography – P. Gaudry, T. Houtmann, D. Kohel, C. Ritzenthaler, A. Weng, Loria Projet Spaces - 2006
91 On abelian varieties with complex multiplication – G Shimura - 1977
19 A CRT algorithm for constructing genus 2 curves over finite fields – Kirsten Eisenträger, Kristin Lauter - 2007
53 Arithmetic variety of moduli for genus two – J Igusa - 1960
20 Modular forms and projective invariants – J-I Igusa
13 Wamelen, Examples of genus two CM curves defined over the rationals – Paul van - 1999
12 On certain reduction problems concerning abelian surfaces – E Z Goren - 1997
9 Computing endomorphism rings of jacobians of genus 2 curves – David Freeman, Kristin Lauter - 2006
158 Computing in the Jacobian of an hyperelliptic curve – D G Cantor - 1987
88 Supersingular curves in cryptography – Steven D. Galbraith - 2001
59 Counting Points on Hyperelliptic Curves over Finite Fields – Pierrick Gaudry, Robert Harley
23 Principally polarized ordinary abelian varieties over finite fields – Everett W Howe - 1995
162 Elliptic Curves And Primality Proving – A. O. L. Atkin, F. Morain - 1993
147 Hyperelliptic cryptosystems – N Koblitz - 1989
45 On singular moduli – B Gross, D Zagier
4 Generating genus 2 curves with complex multiplication,” Microsoft Research Internal – H Cohn, K Lauter - 2001