Some constructions of non-generalized Reed-Solomon MDS Codes
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918057613459456 |
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| author | Abdukhalikov, Kanat Ding, Cunsheng Verma, Gyanendra K. |
| author_facet | Abdukhalikov, Kanat Ding, Cunsheng Verma, Gyanendra K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04080 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some constructions of non-generalized Reed-Solomon MDS Codes Abdukhalikov, Kanat Ding, Cunsheng Verma, Gyanendra K. Information Theory 51E21, 05B25, 94B65 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. |
| title | Some constructions of non-generalized Reed-Solomon MDS Codes |
| topic | Information Theory 51E21, 05B25, 94B65 |
| url | https://arxiv.org/abs/2506.04080 |