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MDS and MHDR cyclic codes over finite chain rings

03/28/2023

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by Monika Dalal, et al.

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In this work, a unique set of generators for a cyclic code over a finite chain ring has been established. The minimal spanning set and rank of the code have also been determined. Further, sufficient as well as necessary conditions for a cyclic code to be an MDS code and for a cyclic code to be an MHDR code have been obtained. Some examples of optimal cyclic codes have also been presented.

Monika Dalal
3 publications
Sucheta Dutt
6 publications
Ranjeet Sehmi
5 publications

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