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.

引用

页码：173 / 184

页数：12

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