Moody, D.
, Dang, T.
, Perez, F.
and Fouotsa, E.
(2021),
Isogenies on twisted Hessian curves, Journal of Mathematical Cryptography, [online], https://doi.org/10.1515/jmc-2020-0037, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=929415
(Accessed December 11, 2023)
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Isogenies on twisted Hessian curves
Published
Author(s)
, , Fouazou Lontouo Perez, Emmanuel Fouotsa
Abstract
Elliptic curves are typically defined by Weierstrass equations. Given a kernel, the well-known V Velu's formula shows how to explicitly write down an isogeny between Weierstrass curves. However, it is not clear how to do the same on other forms of elliptic curves without isomorphisms mapping to and from the Weierstrass form. Previous papers have shown some isogeny formulas for (twisted) Edwards, Huff, and Montgomery forms of elliptic curves. Continuing this line of work, this paper derives an explicit formula for isogenies between elliptic curves in (twisted) Hessian form.Citation
Journal of Mathematical Cryptography
Volume
15
Issue
1
Pub Type
Journals
Download Paper
Keywords
Elliptic curves, Isogeny, Hessian curves, Vélu’s formulas
Citation
Created March 16, 2021, Updated October 31, 2023