Elliptic curves in Huff’s model

DOI10.1007/s11859-012-0873-9zbMath1274.94122arXiv1107.0506OpenAlexW2090802416MaRDI QIDQ4926885

Hongfeng Wu, Rong Quan Feng

Publication date: 20 June 2013

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0506

zbMATH Keywords

cryptographyelliptic curveisomorphism classesHuff curve

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (7)

Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves ⋮ An application of crypto cloud computing in social networks by cooperative game theory ⋮ Isogeny formulas for Jacobi intersection and twisted Hessian curves ⋮ Protecting ECC against fault attacks: the ring extension method revisited ⋮ Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves ⋮ Isogenies on twisted Hessian curves ⋮ Speeding up Huff form of elliptic curves

Cites Work

• Unnamed Item
• On the isomorphism classes of Legendre elliptic curves over finite fields
• Torsion groups of elliptic curves with integral j-invariant over pure cubic fields
• On the number of distinct elliptic curves in some families
• Nonsingular plane cubic curves over finite fields
• The Weil pairing, and its efficient calculation
• Faster computation of the Tate pairing
• Diophantine problems in geometry and elliptic ternary forms
• Twisted Jacobi Intersections Curves
• Elliptic Curve Cryptosystems
• Huff’s Model for Elliptic Curves
• Selected Areas in Cryptography

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