Score: 1
Some constructions of non-generalized Reed-Solomon MDS Codes
Published: June 4, 2025 |
arXiv ID: 2506.04080v2
By: Kanat Abdukhalikov, Cunsheng Ding, Gyanendra K. Verma
Potential Business Impact:
Finds new ways to store and protect computer information.
Business Areas:
QR Codes
Software
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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Country of Origin
🇦🇪
🇭🇰
Hong Kong, United Arab Emirates
Page Count
25 pages
Category
Computer Science:
Information Theory