Computing isogeny volcanoes of composite degree

DOI10.1016/j.amc.2011.11.008zbMath1251.14021OpenAlexW2011640438MaRDI QIDQ426552

Dustin Moody

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.008

zbMATH Keywords

cordilleraelliptic curvesisogeniesisogeny volcanoes

Mathematics Subject Classification ID

Applications of graph theory (05C90) Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Structural characterization of families of graphs (05C75) Computational aspects of algebraic curves (14Q05) Isogeny (14K02)

Related Items (2)

Distorting the volcano ⋮ Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields

Cites Work

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• Cryptographic hash functions from expander graphs
• Computing the endomorphism ring of an ordinary elliptic curve over a finite field
• Computing the height of volcanoes of \(\ell \)-isogenies of elliptic curves over finite fields
• An algorithm to compute volcanoes of 2-isogenies of elliptic curves over finite fields
• Computing Hilbert class polynomials with the Chinese remainder theorem
• On Avoiding ZVP-Attacks Using Isogeny Volcanoes
• Constructing Isogenies between Elliptic Curves Over Finite Fields
• Pairing the Volcano

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