Isomorphism classes of Edwards and twisted Edwards curves over finite fields

Moody, Dustin; Farashahi, R.; Wu, H.

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

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Journal Article

Isomorphism classes of Edwards and twisted Edwards curves over finite fields

Documentation

Published: May 18, 2012
Citation: Finite Fields and Their Applications vol. 18, no. 3, (May 2012) pp. 597-612

Author(s)

Dustin Moody, R. Farashahi, H. 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.

Keywords

elliptic curve; Edwards curve; isomorphism classes; cryptography

Control Families

None selected

Documentation

Publication:
https://doi.org/10.1016/j.ffa.2011.12.004

Supplemental Material:
None available

Document History:
05/18/12: Journal Article (Final)