Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Abstract
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
Page range: 67 - 91
Submitted on: Oct 11, 2019
Accepted on: Nov 13, 2019
Published on: Sep 22, 2020
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2020 C. A. Castillo-Guillén, C. Rentería-Márquez, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.