Efficient Arithmetic on Hessian Curves

DOI10.1007/978-3-642-13013-7_15zbMath1279.94072OpenAlexW1595728311MaRDI QIDQ3562899

Reza Rezaeian Farashahi, Marc Joye

Publication date: 28 May 2010

Published in: Public Key Cryptography – PKC 2010 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-13013-7_15

zbMATH Keywords

elliptic curvescryptographyHessian curves

Mathematics Subject Classification ID

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

Related Items (16)

Faster Ate pairing computation on Selmer's model of elliptic curves ⋮ Efficient Arithmetic on Elliptic Curves over Fields of Characteristic Three ⋮ Decaf: Eliminating Cofactors Through Point Compression ⋮ Twisted Hessian Curves ⋮ An application of crypto cloud computing in social networks by cooperative game theory ⋮ Division polynomials on the Hessian model of elliptic curves ⋮ Differential addition on binary elliptic curves ⋮ Faster isogeny computation on twisted Hessian curves ⋮ Parallelizing pairings on Hessian elliptic curves ⋮ Hashing into Hessian Curves ⋮ Compression on the Twisted Jacobi Intersection ⋮ Cryptography from the tropical Hessian pencil ⋮ Protecting ECC against fault attacks: the ring extension method revisited ⋮ Isogenies on twisted Hessian curves ⋮ High-degree Compression Functions on Alternative Models of Elliptic Curves and their Applications ⋮ Differential Addition on Binary Elliptic Curves

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