English

Division polynomials for twisted Edwards curves

Algebraic Geometry 2008-09-26 v2

Abstract

This paper presents division polynomials for twisted Edwards curves. Their chief property is that they characterise the nn-torsion points of a given twisted Edwards curve. We also present results concerning the coefficients of these polynomials, which may aid computation.

Keywords

Cite

@article{arxiv.0809.2182,
  title  = {Division polynomials for twisted Edwards curves},
  author = {Richard Moloney and Laura Hitt and Gary McGuire},
  journal= {arXiv preprint arXiv:0809.2182},
  year   = {2008}
}

Comments

18 pages, added justification for unique representations of general rational functions in function field of twisted Edwards curve

R2 v1 2026-06-21T11:19:40.152Z