2006年
The Orders of Elliptic Curves y^2 = x^3 + b, b in Fp
Memoirs of the Faculty of Engineering, Okayama University
- ,
- 巻
- 40
- 号
- 1
- 開始ページ
- 83
- 終了ページ
- 94
- 記述言語
- 英語
- 掲載種別
- 出版者・発行元
- Faculty of Engineering, Okayama University
This paper particularly deals with elliptic curves in the form of E(x, y) = y(2) − x(3) −b = 0, b ∈ F(* q) , where 3 divides q−1. In this paper, we refer to the well-known twist technique as x-twist and propose y-twist. By combining x-twist and y-twist, we can consider six elliptic curves and this paper proposes a method to obtain the orders of these six curves by counting only one order among the six curves.
- リンク情報
-
- CiNii Articles
- http://ci.nii.ac.jp/naid/120002308548
- CiNii Books
- http://ci.nii.ac.jp/ncid/AA10699856
- URL
- http://ousar.lib.okayama-u.ac.jp/14126
- ID情報
-
- ISSN : 0475-0071
- CiNii Articles ID : 120002308548
- CiNii Books ID : AA10699856