Twisted $${\mu }_4$$ -Normal Form for Elliptic Curves

DOI10.1007/978-3-319-56620-7_23zbMath1420.94082arXiv2012.10799OpenAlexW3115797793MaRDI QIDQ5738893

David R. Kohel

Publication date: 13 June 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10799

Mathematics Subject Classification ID

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

Related Items (4)

Efficient Software Implementation of Laddering Algorithms Over Binary Elliptic Curves ⋮ Efficient scalar multiplication on Koblitz curves with pre-computation ⋮ Explicit computations of invariants of plane quartic curves ⋮ Pre-computation scheme of window \(\tau\)NAF for Koblitz curves revisited

Uses Software

• Magma
• Echidna

Cites Work

• Complete systems of addition laws an abelian varieties
• A bound for the least prime ideal in the Chebotarev density theorem
• Addition law structure of elliptic curves
• The least quadratic non residue
• Lambda Coordinates for Binary Elliptic Curves
• Efficient Arithmetic on Elliptic Curves in Characteristic 2
• Twisted Edwards Curves
• Twisted Edwards Curves Revisited
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves

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