Elliptic curve lifting problem and its applications

DOI10.3792/pjaa.75.166zbMath0948.11050OpenAlexW2029114583MaRDI QIDQ1976861

H. J. Kim, Jung Hee Cheon, Sang Geun Hahn

Publication date: 20 November 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.166

zbMATH Keywords

elliptic curvescryptographydiscrete logarithm

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves over global fields (11G05) Number-theoretic algorithms; complexity (11Y16) Computational aspects of algebraic curves (14Q05)

Related Items (2)

Primitive divisors of sequences associated to elliptic curves over function fields ⋮ On second-order linear recurrence sequences in Mordell-Weil groups

Cites Work

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• The discrete logarithm problem on elliptic curves of trace one
• The Xedni calculus and the elliptic curve discrete logarithm problem
• Analysis of the Xedni calculus attack
• Computing canonical heights with little (or no) factorization
• Reducing elliptic curve logarithms to logarithms in a finite field
• Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝

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