このエントリーをはてなブックマークに追加
ID 14126
JaLCDOI
Sort Key
12
FullText URL
Author
Morikawa, Yoshitaka
Abstract
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.
Keywords
elliptic curve
twist
third power residue/non-residue
Publication Title
Memoirs of the Faculty of Engineering, Okayama University
Published Date
2006-01
Volume
volume40
Issue
issue1
Publisher
Faculty of Engineering, Okayama University
Publisher Alternative
岡山大学工学部
Start Page
83
End Page
94
ISSN
0475-0071
NCID
AA10699856
Content Type
Departmental Bulletin Paper
OAI-PMH Set
岡山大学
language
英語
File Version
publisher
NAID
Eprints Journal Name
mfe