Some constructions of non-generalized Reed-Solomon MDS codes
Kanat Serikovich Abdukhalikov, Cunsheng Ding, Gyanendra K. Verma · Discrete Mathematics · 2026
We investigate two classes of extended codes and provide necessary and sufficient conditions for these codes to be non-GRS MDS codes. We also determine the parity check matrices for these codes. Using the connection of MDS codes with arcs in finite projective spaces, we give a new characterization of o-monomials.