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ASIACRYPT
2006
Springer
13 years 8 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
ANTS
2004
Springer
114views Algorithms» more  ANTS 2004»
13 years 10 months ago
Montgomery Scalar Multiplication for Genus 2 Curves
Using powerful tools on genus 2 curves like the Kummer variety, we generalize the Montgomery method for scalar multiplication to the jacobian of these curves. Previously this metho...
Sylvain Duquesne