MDS and MHDR Cyclic Codes over Finite Chain Rings
This work establishes a unique set of generators for a cyclic code over a finite chain ring. Towards this, we first determine the minimal spanning set and rank of the code. Furthermore, sufficient as well as necessary conditions for a cyclic code to be an MDS code and for a cyclic code to be an MHDR...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2024-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2024/4540992 |