Parameterized codes over graphs

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....

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	São Paulo Journal of Mathematical Sciences 2023-06, Vol.17 (1), p.306-319
Hauptverfasser:	Neves, Jorge, Vaz Pinto, Maria
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Fields (mathematics) Graphs Mathematics Mathematics and Statistics Parameterization Parameters Special Issue in Honor of Rafael H. Villarreal on the Occasion of His 70th Birthday
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	1982-6907 2316-9028 2306-9028
DOI:	10.1007/s40863-022-00335-7