A Review on the Isomorphism Classes of Hyperelliptic Curves of Genus 2 over Finite Fields Admitting a Weierstrass Point
A Review on the Isomorphism Classes of Hyperelliptic Curves of Genus 2 over Finite Fields Admitting a Weierstrass Point
复制标题
DOI：
10.1007/s10440-006-9045-2
复制
发表时间：
2006-08
影响因子：
1.6
通讯作者：
J. E. Garcia;L. H. Encinas;J. M. Masqué
中科院分区：
文献类型：
--
作者：
J. E. Garcia;L. H. Encinas;J. M. Masqué
给出了亏格为2的超椭圆曲线在任意特征有限域上具有一个魏尔斯特拉斯点的同构类的约化方程，并给出了类的个数.这项工作以统一的方式收集了几位作者使用不同方法发表的一系列以前的结果。这些分类对超椭圆曲线密码体制的设计和实现具有重要意义。
The reduced equations for the isomorphism classes of hyperelliptic curves of genus 2 admitting a Weierstrass point over a finite field of arbitrary characteristic, are shown and the number of such classes is included. This work picks up in a unified way a series of previous results published by several authors by using different methodologies. These classifications are of interest in designing and implementing of hyperelliptic curve cryptosystems.