On Linear Codes with Random Multiplier Vectors and the Maximum Trace Dimension Property

Márton Erdélyi, Pál Hegedüs, Sándor Z. Kiss +1

Let $C$ be a linear code of length $n$ and dimension $k$ over the finite field ${\mathbb{F}}_{q^m}$. The trace code $\mathrm{Tr}(C)$ is a linear code of the same length $n$ over the…