Galois Hulls of Linear Codes over Finite Fields

Hongwei Liu, Xu Pan

The $\ell$-Galois hull $h_{\ell }(C)$ of an $[n,k]$ linear code $C$ over a finite field ${\mathbb{F}}_q$ is the intersection of $C$ and $C^{{\perp }_{\ell }}$, where $C^{{\perp }_{\ell }}$ de…