Isomorphism classes of Edwards curves over finite fields

DOI10.1016/j.ffa.2011.12.004zbMath1281.14020OpenAlexW2093009288MaRDI QIDQ413563

Hongfeng Wu, Reza Rezaeian Farashahi, Dustin Moody

Publication date: 7 May 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.12.004

zbMATH Keywords

cryptographyelliptic curveisomorphism classesEdwards curve

Mathematics Subject Classification ID

Cryptography (94A60) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Isomorphism classes of Doche-Icart-Kohel curves over finite fields ⋮ Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves

Uses Software

• EFD

Cites Work

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• On isogeny classes of Edwards curves over finite fields
• On the isomorphism classes of Legendre elliptic curves over finite fields
• On the number of distinct elliptic curves in some families
• Nonsingular plane cubic curves over finite fields
• Isomorphism classes of genus-2 hyperelliptic curves over finite fields
• Isomorphism classes of hyperelliptic curves of genus 3 over finite fields
• Isomorphism classes of elliptic and hyperelliptic curves over finite fields \(\mathbb F_{(2g+1)^n}\)
• Families of elliptic curves with rational 3-torsion
• Twisted Edwards Curves
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• Inverted Edwards Coordinates
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves

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