Supersingular hyperelliptic curves of genus 2 over finite fields

被引：3

作者：

Choie, YJ ^{[1
]}

Jeong, EK ^{[1
]}

Lee, EJ ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Pohang 790784, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 02期

关键词：

D O I：

10.1016/j.amc.2004.03.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe an elementary criterion how to determine supersingular hyperelliptic curves of genus 2, directly using only the given Weierstrass equation. A family of the hyperelliptic curve H/F-P of the type v(2) = u(5) + a and v(2) = u(5) + au have been studied. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：565 / 576

页数：12

共 50 条

[1] Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields
L. Hernández Encinas
Alfred J. Menezes
J. Muñoz Masqué
[J]. Applicable Algebra in Engineering, Communication and Computing, 2002, 13 : 57 - 65
[2] Isomorphism classes of genus-2 hyperelliptic curves over finite fields
Encinas, LH
Menezes, AJ
Masqué, JM
[J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2002, 13 (01) : 57 - 65
[3] Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2
Yingpu Deng
Mulan Liu
[J]. Science in China Series A, 2006, 49 : 173 - 184
[4] Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2
DENG Yingpu & LIU Mulan Institute of Systems Science
[J]. Science China Mathematics, 2006, (02) : 173 - 184
[5] Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2
Deng, YP
Liu, ML
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (02): : 173 - 184
[6] SUPERSINGULAR CURVES OF GENUS-2 OVER FINITE-FIELDS OF CHARACTERISTIC-2
VANDERGEER, G
VANDERVLUGT, M
[J]. MATHEMATISCHE NACHRICHTEN, 1992, 159 : 73 - 81
[7] Hyperelliptic curves of genus three over finite fields of even characteristic
Nart, E
Sadornil, D
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2004, 10 (02) : 198 - 220
[8] Isomorphism classes of hyperelliptic curves of genus 3 over finite fields
Deng, YP
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2006, 12 (02) : 248 - 282
[9] Generating genus two hyperelliptic curves over large characteristic finite fields
Department of Mathematics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan
[J]. Lect. Notes Comput. Sci., 1600, (536-553):
[10] Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields
Satoh, Takakazu
[J]. ADVANCES IN CRYPTOLOGY - EUROCRYPT 2009, 2009, 5479 : 536 - 553

← 1 2 3 4 5 →