The Geometry of Flex Tangents to a  Cubic Curve and   its Parameterizations

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Paper 2011/033

The Geometry of Flex Tangents to a Cubic Curve and its Parameterizations

Jean-Marc Couveignes and Jean-Gabriel Kammerer

Abstract

We show how the study of the geometry of the nine flex tangents to a cubic produces many pseudo-parameterizations, including the ones given by Icart, Kammerer, Lercier, Renault and Farashahi.

Note: Two sections added.

Metadata

Available format(s): PDF PS
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve cryptosystem
Contact author(s): couveig @ univ-tlse2 fr
History: 2011-09-02: revised; 2011-01-19: received; See all versions
Short URL: https://ia.cr/2011/033
License: CC BY