Bases for Riemann--Roch spaces of linearized function fields with applications to generalized algebraic geometry codes
Algebraic Geometry
2023-11-09 v1
Abstract
In this paper, we determine explicit bases for Riemann--Roch spaces of linearized function fields, and we give a lower bound for the minimum distance of generalized algebraic geometry codes. As a consequence, we construct generalized algebraic geometry codes with good parameters.
Keywords
Cite
@article{arxiv.2311.04463,
title = {Bases for Riemann--Roch spaces of linearized function fields with applications to generalized algebraic geometry codes},
author = {Horacio Navarro},
journal= {arXiv preprint arXiv:2311.04463},
year = {2023}
}