A graphical representation of binary linear codes

Lisbeth Danyeli Delgado Ordoñez, John H. Castillo, Alexander Holguín-Villa

A binary $[n,k]$-linear code $\mathcal{C}$ is a $k$-dimensional subspace of ${\mathbb{F}}_2^n$. For $\mathbf{x}\in {\mathbb{F}}_2^n$, the set $\mathbf{x}+\mathcal{C}$ is a cose…