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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 García
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Castillo-Guillén, C. A.
 e 
C. Rentería-Márquez

C. Rentería-Márquez

Department of Mathematics, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Instituto Politécnico Nacional Ave s/n, 07300
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Rentería-Márquez, C.
  
22 set 2020
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Pubblicato online: 22 set 2020
Pagine: 67 - 91
Ricevuto: 11 ott 2019
Accettato: 13 nov 2019
DOI: https://doi.org/10.2478/auom-2020-0020
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© 2020 C. A. Castillo-Guillén et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Matematica, Matematica generale
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