Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4

Duals of constacyclic codes over a finite local Frobenius non-chain ring of length 4, the length of which is relatively prime to the characteristic of the residue field of the ring are determined. Generators for the dual code are obtained from those of the original constacyclic code. In some cases s...

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Bibliographic Details
Published in:Discrete mathematics 2018-04, Vol.341 (4), p.919-933
Main Authors: Castillo-Guillén, C.A., Rentería-Márquez, C., Tapia-Recillas, H.
Format: Article
Language:English
Subjects:
Chain rings
Constacyclic codes
Dual codes
Frobenius rings
Self-dual codes
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Summary:Duals of constacyclic codes over a finite local Frobenius non-chain ring of length 4, the length of which is relatively prime to the characteristic of the residue field of the ring are determined. Generators for the dual code are obtained from those of the original constacyclic code. In some cases self-dual codes are determined.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2017.12.014