Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields

被引：0

作者：

L. Hernández Encinas

Alfred J. Menezes

J. Muñoz Masqué

机构：

[1] Instituto de Física Aplicada,

[2] CSIC,undefined

[3] C/ Serrano 144,undefined

[4] 28006 Madrid,undefined

[5] Spain (e-mail: {luis,undefined

[6] jaime}@iec.csic.es),undefined

[7] Department of C&O,undefined

[8] University of Waterloo,undefined

[9] Waterloo,undefined

[10] Ontario,undefined

[11] Canada N2L 3G1 (e-mail: ajmeneze@uwaterloo.ca),undefined

来源：

Applicable Algebra in Engineering, Communication and Computing | 2002年 / 13卷

关键词：

Keywords: Discriminant, Hyperelliptic curves over finite fields, Public-key cryptography.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose a reduced equation for hyperelliptic curves of genus 2 over finite fields ?q of q elements with characteristic different from 2 and 5. We determine the number of isomorphism classes of genus-2 hyperelliptic curves having an ?q-rational Weierstrass point. These results have applications to hyperelliptic curve cryptography.

引用

页码：57 / 65

页数：8

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