Extended codes and deep holes of MDS codes

Yansheng Wu, Cunsheng Ding, Tingfang Chen

For a given linear code $\C$ of length $n$ over $\gf(q)$ and a nonzero vector $\bu$ in $\gf(q)^n$, Sun, Ding and Chen defined an extended linear code $\overline{\C}(\bu)$ of $\C$,…