Open Access

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
Search for this author on
Sciendo|Google Scholar
Castillo-Guillén, C. A.
 and 
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
Search for this author on
Sciendo|Google Scholar
Rentería-Márquez, C.
  
Sep 22, 2020
Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Sep 22, 2020
Page range: 67 - 91
Received: Oct 11, 2019
Accepted: Nov 13, 2019
DOI: https://doi.org/10.2478/auom-2020-0020
Keywords
© 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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
Journal RSS Feed