Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q

Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q. Further, we find a unique set of generators for cyclic codes over R and classify the reversible cyclic codes with their generators. Mor...

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Bibliographic Details
Main Authors: Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd
Format: Article
Language:English
Published: Sciendo 2023-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2023-0025