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...

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Bibliographic Details
Main Authors: Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/4540992