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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 26, 2025)

Issues

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Created May 17, 2012, Updated October 12, 2021
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