The Code Distortion Problem

Huck Bennett, Matthew Fox, Bryant Morrell

Two linear error-correcting codes ${\mathcal{C}}_1,{\mathcal{C}}_2\subseteq {\mathbb{F}}_q^n$ are called linearly equivalent if there is a linear isometry mapping ${\mathcal{C}}_1$ to ${\mathcal{C}}_2$. I…