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arXiv · 2506.04080

Some constructions of non-generalized Reed-Solomon MDS Codes

Kanat Abdukhalikov·Cunsheng Ding·Gyanendra K. Verma
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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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Kanat Abdukhalikov, Cunsheng Ding, Gyanendra K. Verma. 2025-06-13. Some constructions of non-generalized Reed-Solomon MDS Codes. https://arxiv.org/abs/2506.04080

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