Isomorphism classes of Edwards curves over finite fields

Reza Rezaeian Farashahi; Dustin Moody; Hongfeng Wu

doi:10.1016/j.ffa.2011.12.004

Isomorphism classes of Edwards curves over finite fields

Reza Rezaeian Farashahi, Dustin Moody^*, Hongfeng Wu

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Review article › peer-review

7 Citations (Scopus)

Abstract

Edwards curves are an alternate 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.

Original language	English
Pages (from-to)	597-612
Number of pages	16
Journal	Finite Fields and their Applications
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/j.ffa.2011.12.004
Publication status	Published - May 2012

Keywords

Cryptography
Edwards curve
Elliptic curve
Isomorphism classes

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10.1016/j.ffa.2011.12.004

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title = "Isomorphism classes of Edwards curves over finite fields",

abstract = "Edwards curves are an alternate 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 = "Cryptography, Edwards curve, Elliptic curve, Isomorphism classes",

author = "{Rezaeian Farashahi}, Reza and Dustin Moody and Hongfeng Wu",

year = "2012",

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doi = "10.1016/j.ffa.2011.12.004",

language = "English",

volume = "18",

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T1 - Isomorphism classes of Edwards curves over finite fields

AU - Rezaeian Farashahi, Reza

AU - Moody, Dustin

AU - Wu, Hongfeng

PY - 2012/5

Y1 - 2012/5

N2 - Edwards curves are an alternate 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.

AB - Edwards curves are an alternate 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.

KW - Cryptography

KW - Edwards curve

KW - Elliptic curve

KW - Isomorphism classes

UR - http://www.scopus.com/inward/record.url?scp=84858075541&partnerID=8YFLogxK

U2 - 10.1016/j.ffa.2011.12.004

DO - 10.1016/j.ffa.2011.12.004

M3 - Review article

AN - SCOPUS:84858075541

VL - 18

SP - 597

EP - 612

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

SN - 1071-5797

IS - 3

ER -

Isomorphism classes of Edwards curves over finite fields

Abstract

Keywords

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