ON THE EXISTENCE OF MDS SELF-DUAL CODES OVER FINITE CHAIN RINGS

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Published: May 15, 2020
DOI: https://doi.org/10.14403/jcms.2020.33.2.255
Keywords:
finite chain ring, Galois ring, MDS code, self-dual code
Mathematics Subject Classification (2020):
Primary 94B05

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Sunghyu Han
School of Liberal Arts, KoreaTech

Abstract





We studied the MDS self-dual codes over finite chain rings. We stated the projection and lifting of codes over the finite chain rings with respect to the MDS self-dual codes, and then we applied the results to the MDS self-dual codes over Galois rings.





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Article Details

Issue
Vol. 33 No. 2 (2020)
Section
Articles