Sciweavers

15 search results - page 1 / 3
» Isomorphism classes of hyperelliptic curves of genus 3 over ...
Sort
View
AAECC
2005
Springer
104views Algorithms» more  AAECC 2005»
13 years 5 months ago
Isomorphism Classes of Picard Curves over Finite Fields
In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite fields of characteristic different f...
Jong Won Lee
JOC
2006
103views more  JOC 2006»
13 years 5 months ago
An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
Jan Denef, Frederik Vercauteren
ASIACRYPT
2006
Springer
13 years 9 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...
MOC
2002
121views more  MOC 2002»
13 years 5 months ago
Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
Andreas Enge