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Construction of reversible cyclic codes over Fq + uFq + u²Fq.
- Source :
-
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica . 2023, Vol. 31 Issue 2, p155-176. 22p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*CODE generators
*HAMMING distance
Subjects
Details
- Language :
- English
- ISSN :
- 12241784
- Volume :
- 31
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
- Publication Type :
- Academic Journal
- Accession number :
- 162603116
- Full Text :
- https://doi.org/10.2478/auom-2023-0025