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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2011/033}},
      url = {https://eprint.iacr.org/2011/033}
}
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