Cyclicity statistics for elliptic curves over finite fields

被引：22
|
作者：
Vladut, SG
机构：
[1] Russian Acad Sci, Inst Problems Informat Transmiss, Moscow 101447, Russia
[2] Inst Math Luminy, CNRS, UPR 9016, F-13288 Marseille 9, France
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 1999年 / 5卷 / 01期
关键词：
D O I：
10.1006/ffta.1998.0225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
[No abstract available]
引用
收藏
页码：13 / 25
页数：13
相关论文
共 50 条
  • [41] Towers of function fields over finite fields corresponding to elliptic modular curves
    Hasegawa, Takehiro
    Inuzuka, Miyoko
    Suzuki, Takafumi
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (01) : 1 - 18
  • [42] On a class of pseudorandom sequences from elliptic curves over finite fields
    Hu, Honggang
    Hu, Lei
    Feng, Dengguo
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (07) : 2598 - 2605
  • [43] Montgomery algorithm on elliptic curves over finite fields of character three
    State Key Laboratory of Information Security, Graduate University, Chinese Academy of Sciences, Beijing 100049, China
    不详
    Tongxin Xuebao, 2008, 10 (25-29+36):
  • [44] On exponential sums and group generators for elliptic curves over finite fields
    Kohel, DR
    Shparlinski, IE
    ALGORITHMIC NUMBER THEORY, 2000, 1838 : 395 - 404
  • [45] ON THE GROUP ORDERS OF ELLIPTIC-CURVES OVER FINITE-FIELDS
    HOWE, EW
    COMPOSITIO MATHEMATICA, 1993, 85 (02) : 229 - 247
  • [46] A Remark on Elliptic Curves with a Given Number of Points over Finite Fields
    Parks, James
    SCHOLAR - A SCIENTIFIC CELEBRATION HIGHLIGHTING OPEN LINES OF ARITHMETIC RESEARCH, 2015, 655 : 165 - 179
  • [47] Efficient CM-constructions of elliptic curves over finite fields
    Broeker, Reinier
    Stevenhagen, Peter
    MATHEMATICS OF COMPUTATION, 2007, 76 (260) : 2161 - 2179
  • [48] Construction of elliptic curves over finite fields with a point of given order
    Wang, Kun-Peng
    Li, Bao
    Ruan Jian Xue Bao/Journal of Software, 2007, 18 (07): : 1774 - 1777
  • [49] Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions
    Sulakashna
    Barman, Rupam
    FINITE FIELDS AND THEIR APPLICATIONS, 2024, 96
  • [50] Big prime factors in orders of elliptic curves over finite fields
    Bilu, Yuri
    Hong, Haojie
    Luca, Florian
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 102 (3-4): : 459 - 474
12345