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：
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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.
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页码：57 / 65
页数：8
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