English

Goppa codes over Edwards curves

Algebraic Geometry 2023-01-24 v1

Abstract

Given an Edwards curve, we determine a basis for the Riemann-Roch space of any divisor whose support does not contain any of the two singular points. This basis allows us to compute a generating matrix for an algebraic-geometric Goppa code over the Edwards curve.

Cite

@article{arxiv.2301.09309,
  title  = {Goppa codes over Edwards curves},
  author = {Giuseppe Filippone},
  journal= {arXiv preprint arXiv:2301.09309},
  year   = {2023}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-28T08:17:36.071Z