Isomorphism Classes of Jacobi Quartic Curve over Finite Fields

机译：有限域上雅可比四次曲线的同构类

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Jacobi quartic curve are an important model for elliptic curves in cryptography. In this paper, we give exact formulas for the number of F,-isomorphism classes of Jacobi quartic curves and generalized Jacobi quartic curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.

机译：Jacobi四次曲线是密码学中椭圆曲线的重要模型。在本文中，我们给出了Jacobi四次曲线和广义Jacobi四次曲线的F，同构类的数量的精确公式。这回答了R. Farashahi和I. Shparlinski最近提出的一个问题。

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《Information technology convergence, secure and trust computing, and data management.》|2012年|p.145-153|共9页
会议地点 Gwangju(KR);Gwangju(KR);Gwangju(KR);Gwangju(KR);Gwangju(KR);Gwangju(KR)
作者
Hongfeng Wu; Rongquan Feng;
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作者单位

College of Sciences, North China University of Technology, Beijing 100144, China;

LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;计算技术、计算机技术;
关键词
elliptic curves; jacobi quartic curve; isomorphism classes; cryptography;

机译：椭圆曲线雅各比四次曲线;同构类密码学;

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1. ON THE NUMBER OF ISOMORPHISM CLASSES OF JACOBI QUARTIC CURVES OVER A FINITE FIELD [J] . HONGFENG WU, LI ZHU Journal of Theoretical and Applied Information Technology . 2013,第2期

机译：有限域上的雅各比正交曲线的同构类的数目
2. Isomorphism classes of Doche-Icart-Kohel curves over finite fields [J] . Farashahi Reza Rezaeian, Hosseini Mehran Finite fields and their applications . 2016,第may期

机译：有限域上Doche-Icart-Kohel曲线的同构类
3. Isomorphism classes of Edwards curves over finite fields [J] . Reza Rezaeian Farashahi, Dustin Moody, Hongfeng Wu Finite fields and their applications . 2012,第3期

机译：有限域上的Edwards曲线的同构类
4. Isomorphism Classes of Jacobi Quartic Curve over Finite Fields [C] . Hongfeng Wu, Rongquan Feng International conference on information technology convergence and services . 2012

机译：在有限田间的Jacobi四曲线同构
5. Fields of Values in Finite Groups: Characters and Conjugacy Classes [D] . Rossi, Daniel J. 2018

机译：有限组中的值域：字符和共轭类
6. Algebraic complexities and algebraic curves over finite fields [O] . D. V. Chudnovsky, G. V. Chudnovsky 1987

机译：有限域上的代数复杂度和代数曲线
7. Number of general Jacobi quartic curves over finite fields [O] . Feng, Rongquan, Wu, Hongfeng 2010

机译：有限域上的一般Jacobi四次曲线的数量

Isomorphism Classes of Jacobi Quartic Curve over Finite Fields

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