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Paper 2004/015
An AGM-type elliptic curve point counting algorithm in characteristic three
Trond Stølen Gustavsen and Kristian Ranestad
Abstract
Given an ordinary elliptic curve on Hesse form over a finite field of characteristic three, we give a sequence of elliptic curves which leads to an effective construction of the canonical lift, and obtain an algorithm for computing the number of points. Our methods are based on the study of an explicitly and naturally given $3$-isogeny between elliptic curves on Hesse form.
Metadata
- Available format(s)
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- elliptic curve cryptosystemspoint counting
- Contact author(s)
- stolen @ math uio no
- History
- 2004-01-27: received
- Short URL
- https://ia.cr/2004/015
- License
-
CC BY