NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

Isomorphism Classes of Edwards Curves over Finite Fields

Published

Author(s)

Reza Farashahi, Dustin Moody, Hongfeng Wu

Abstract

Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.
Citation
Finite Fields and Their Applications
Volume
18
Issue
3
Pub Type
Journals

Download Paper

https://doi.org/10.1016/j.ffa.2011.12.004
Local Download

Keywords

Elliptic curve, Edwards curve, Isomorphism classes, Cryptography
Mathematics and statistics

Citation

Farashahi, R. , Moody, D. and Wu, H. (2012), Isomorphism Classes of Edwards Curves over Finite Fields, Finite Fields and Their Applications, [online], https://doi.org/10.1016/j.ffa.2011.12.004, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=908630 (Accessed October 13, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created May 17, 2012, Updated October 12, 2021
Was this page helpful?