Efficient Arithmetic on Elliptic Curves over Fields of Characteristic Three

DOI10.1007/978-3-642-35999-6_10zbMath1328.14045OpenAlexW1710386418MaRDI QIDQ3455493

Chang-An Zhao, Reza Rezaeian Farashahi, Hongfeng Wu

Publication date: 4 December 2015

Published in: Selected Areas in Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-35999-6_10

zbMATH Keywords

cryptographyelliptic curvescalar multiplicationHessian curve

Mathematics Subject Classification ID

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

Related Items (2)

Twisted Hessian Curves ⋮ Isogenies on twisted Hessian curves

Cites Work

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• Point multiplication on ordinary elliptic curves over fields of characteristic three
• Sequences of numbers generated by addition in formal groups and new primality and factorization tests
• Efficient Arithmetic on Hessian Curves
• Elliptic Curve Cryptosystems
• Scalar Multiplication on Elliptic Curves Defined over Fields of Small Odd Characteristic
• New Formulae for Efficient Elliptic Curve Arithmetic

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