Some constructions of non-generalized Reed-Solomon MDS Codes (2506.04080v2)

Published 4 Jun 2025 in cs.IT and math.IT

Abstract: 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.

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