On the Classification of MDS Codes

Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård

A $q$-ary code of length $n$, size $M$, and minimum distance $d$ is called an $(n,M,d{)}_q$ code. An $(n,q^k,n-k+1{)}_q$ code is called a maximum distance separable (MDS) code. In th…