Rate $(n-1)/n$ Systematic MDS Convolutional Codes over $GF(2^m)$

Ángela Barbero, Øyvind Ytrehus

A systematic convolutional encoder of rate $(n-1)/n$ and maximum degree $D$ generates a code of free distance at most $\mathcal{D}=D+2$ and, at best, a column distance profile (CDP)…