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ID 14126
Eprint ID
14126
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
Published Date
2006-01
Publication Title
Memoirs of the Faculty of Engineering, Okayama University
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
language
英語
File Version
publisher
Refereed
False
Eprints Journal Name
mfe