Parameterized codes over graphs

Parameterized codes over graphs

In this article we review known results on parameterized linear codes over graphs, introduced by Rentería, Simis and Villarreal in 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 par...

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Veröffentlicht in:arXiv.org 2021-12
Hauptverfasser: Neves, Jorge, Maria Vaz Pinto
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Graphs
Parameterization
Parameters
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Zusammenfassung:In this article we review known results on parameterized linear codes over graphs, introduced by Rentería, Simis and Villarreal in 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:2331-8422