Parameterized codes over graphs
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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.
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