Author(s): Neves, Jorge ; Vaz Pinto, Maria
Date: 2022
Persistent ID: https://hdl.handle.net/10316/113155
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Minimum Distance; Regularity; Dimension; Linear Code
Author(s): Neves, Jorge ; Vaz Pinto, Maria
Date: 2022
Persistent ID: https://hdl.handle.net/10316/113155
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Minimum Distance; Regularity; Dimension; Linear Code
In this article we review known results on parameterized linear codes over graphs, introduced by Rentería et al. (Finite Fields Appl 17(1):81–104, 2011) . Very little is known about their basic parameters and invariants. We review in detail the parameters dimension, regularity and minimum distance. As regards the parameter dimension, we explore the connection to Eulerian ideals in the ternary case and we give new combinatorial formulas.