Saved in:
Bibliographic Details
Main Authors: Camps-Moreno, Eduardo, Fidalgo-Díaz, Adrián, Martínez-Peñas, Umberto, Matthews, Gretchen L.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.04925
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-called Modified Algorithm for decoding the corresponding one-point codes defined at the point. This defect also finds applications in other contexts involving one-point codes. We study the Clifford defect of some numerical semigroups arising from curves and give explicit formulas for them.