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

Jean-Marc Couveignes; Jean-Gabriel Kammerer

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

BibTeX

@misc{cryptoeprint:2011/033,
      author = {Jean-Marc Couveignes and Jean-Gabriel Kammerer},
      title = {The Geometry of Flex Tangents to a  Cubic Curve and   its Parameterizations},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/033},
      year = {2011},
      url = {https://eprint.iacr.org/2011/033}
}