Parameterized codes over graphs
Commutative Algebra
2021-12-15 v1 Information Theory
Combinatorics
math.IT
Abstract
In this article we review known results on parameterized linear codes over graphs, introduced by Renter\'ia, 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.
Keywords
Cite
@article{arxiv.2112.07297,
title = {Parameterized codes over graphs},
author = {Jorge Neves and Maria Vaz Pinto},
journal= {arXiv preprint arXiv:2112.07297},
year = {2021}
}