The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3

Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual γ-constacy...

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Bibliographic Details
Published in:Discrete mathematics 2019-08, Vol.342 (8), p.2283-2296
Main Authors: Castillo-Guillén, C.A., Rentería-Márquez, C., Sarmiento-Rosales, E., Tapia-Recillas, H., Villarreal, R.H.
Format: Article
Language:English
Subjects:
Chain rings
Complementary dual codes
Constacyclic codes
Frobenius rings
Reversible codes
Self-dual codes
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Summary:Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual γ-constacyclic codes, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given. Generators for the dual code are obtained from those of the original constacyclic code.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2019.05.001