An exploration of affine group laws for elliptic curves

DOI10.1515/JMC.2011.005zbMath1248.94070MaRDI QIDQ3015224

Kenneth Koon-Ho Wong, E. Dawson, Gary Carter, Huseyin Hisil

Publication date: 11 July 2011

Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)

zbMATH Keywords

elliptic curvegroup lawprojective coordinatesRiemann-Roch theoremelliptic curve cryptographyrational mapsscalar multiplicationbirational equivalencepoint additionpoint doublingrational simplification

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves (14H52) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

JKL-ECM: an implementation of ECM using Hessian curves ⋮ Protecting ECC against fault attacks: the ring extension method revisited

Cites Work

• Factoring integers with elliptic curves
• Sequences of numbers generated by addition in formal groups and new primality and factorization tests
• Elliptic Curve Cryptosystems
• A normal form for elliptic curves

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