A Weil pairing on the \(p\)-torsion of ordinary elliptic curves over \(K[\varepsilon]\)

DOI10.1016/j.jnt.2008.02.002zbMath1153.11027arXivmath/0703906OpenAlexW2133877376MaRDI QIDQ927739

Juliana V. Belding

Publication date: 9 June 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703906

zbMATH Keywords

discrete logarithm problemWeil pairingdual numbersanomalous elliptic curves

Mathematics Subject Classification ID

Elliptic curves over local fields (11G07)

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Cites Work

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• The discrete logarithm problem on elliptic curves of trace one
• The Weil pairing, and its efficient calculation
• An algorithm for DLP on anomalous elliptic curves over \(\mathbb F_p\)
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• On the discrete logarithm in the divisor class group of curves
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• 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
• Algorithmic Number Theory

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