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- Title
Construction of reversible cyclic codes over F<sub>q</sub> + uF<sub>q</sub> + u²F<sub>q</sub>.
- Authors
Rehman, Nadeem ur; Ahmad, Mohammad Fareed; Azmi, Mohd
- Abstract
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. Moreover, it is shown that the dual of reversible cyclic code over R is reversible. Finally, some examples of reversible cyclic codes are provided to justify the importance of these results.
- Subjects
CYCLIC codes; CODE generators; HAMMING distance
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023, Vol 31, Issue 2, p155
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2023-0025