Fast and simple point operations on Edwards448 and E448

DOI10.1007/978-3-031-57728-4_13MaRDI QIDQ6635904

Unnamed Author, Peng Xu, Luying Li

Publication date: 12 November 2024

zbMATH Keywords

additionexplicit formulasscalar multiplicationdoublingtwisted edwards curvesE448Edwards448

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves (14H52)

Cites Work

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• Differential addition on twisted Edwards curves
• Double-base chains for scalar multiplications on elliptic curves
• Faster cofactorization with ECM using mixed representations
• Pre-computation scheme of window \(\tau\)NAF for Koblitz curves revisited
• A complete set of addition laws for incomplete Edwards curves
• Addition law structure of elliptic curves
• Decaf: Eliminating Cofactors Through Point Compression
• Twisted Edwards Curves
• Twisted Edwards Curves Revisited
• Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
• ECM using Edwards curves
• Inverted Edwards Coordinates
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves
• A formula for disaster: a unified approach to elliptic curve special-point-based attacks

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