Bases for Riemann--Roch spaces of linearized function fields with applications to generalized algebraic geometry codes

Bibliographic Details
Title: Bases for Riemann--Roch spaces of linearized function fields with applications to generalized algebraic geometry codes
Authors: Navarro, Horacio
Publication Year: 2023
Collection: Mathematics
Subject Terms: Mathematics - Algebraic Geometry, 94B27, 14H05, 11G20
Description: 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.
Document Type: Working Paper
DOI: 10.48550/arXiv.2311.04463
Access URL: http://arxiv.org/abs/2311.04463
Accession Number: edsarx.2311.04463
Database: arXiv
Description
DOI:10.48550/arXiv.2311.04463