Isomorphism Classes of Elliptic Curves with 3-Torsion Point

Acta Scientiarum Naturalium Universitatis Pekinensis

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Isomorphism Classes of Elliptic Curves with 3-Torsion Point

WU Hongfeng¹, FENG Rongquan², WANG Zilong³

1. College of Sciences, North China University of Technology, Beijing 100041; 2. School of Mathematical Sciences, Peking University, Beij ing 100871; 3. Key Laboratory of Computer Network and Information Security, Ministry of Education, Xidian University, Xi'an 710071;

Received:2010-05-15 Online:2010-09-20 Published:2010-09-20

含3阶点椭圆曲线的同构类

吴宏锋¹,冯荣权²,王子龙³

1.北方工业大学理学院,北京100041; 2.北京大学数学科学学院,北京100871; 3.西安电子科技大学,计算机网络与信息安全教育部重点实验室,西安 710071;

Abstract

Abstract: The numbers of F^q- isomorphism classes and F^q- isomorphism classes of elliptic curves defined over F^q with a 3- torsion F^q- rational point are enumerated.

Key words: elliptic curves, cryptography, isomorphism classes, j-invariant

摘要： 研究了定义在有限域F^q上含3阶F^q-有理点的椭圆曲线簇的F^q-同构类和F^q-同构类, 并给出了精确的计数公式。

关键词: 椭圆曲线, 密码学, 同构类, j-不变量

CLC Number:

O15
TP309

WU Hongfeng,FENG Rongquan,WANG Zilong. Isomorphism Classes of Elliptic Curves with 3-Torsion Point[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

吴宏锋,冯荣权,王子龙. 含3阶点椭圆曲线的同构类[J]. 北京大学学报（自然科学版）.

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Isomorphism Classes of Elliptic Curves with 3-Torsion Point

含3阶点椭圆曲线的同构类

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