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Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

C. A. Castillo-Guillén

C. A. Castillo-Guillén

Department of Mathematics, Universidades para el Bienestar Benito Juárez GarcíaMéxico City,
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Castillo-Guillén, C. A.
 and 
C. Álvarez-García

C. Álvarez-García

Department of Mathematics, Universidad Autónoma Metropolitana-IMéxico City,
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Álvarez-García, C.
  
Jul 08, 2021
Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.'s Cover Image
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Published Online: Jul 08, 2021
Page range: 25 - 50
Received: Aug 29, 2020
Accepted: Oct 30, 2020
DOI: https://doi.org/10.2478/auom-2021-0017
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© 2021 C. A. Castillo-Guillén et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code 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, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given.

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English
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Journal Subjects:
Mathematics, General Mathematics
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