Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2

被引：0
|
作者：
DENG Yingpu & LIU Mulan Institute of Systems Science
机构：
来源：
Science China Mathematics | 2006年 / 02期
关键词：
hyperelliptic curves; hyperelliptic curve cryptosystems; Jacobian groups; isomorphism classes;
D O I：
暂无
中图分类号：
O157 [组合数学（组合学）];
学科分类号：
070104 ;
摘要：
In this paper we study the computation of the number of isomorphism classes of hyperelliptic curves of genus 2 over finite fields Fq with q even. We show the formula of the number of isomorphism classes, that is, for q = 2m, if 4 + m, then the formula is 2q3 + q2 - q; if 4 | m, then the formula is 2q3 + q2 - q + 8. These results can be used in the classification problems and the hyperelliptic curve cryptosystems.
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收藏
页码：173 / 184
页数：12
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