Reversible Cyclic Codes over F2+uF2+u2F2

Reversible Cyclic Codes over F2+uF2+u2F2

In this article, we investigate the formation of reversible cyclic codes (i.e., its codewords forms a symmetry) over the ring S=F2+uF2+u2F2, where u3=0. We find a unique set of generators for cyclic codes over S and classify reversible cyclic codes to their generators. The dual reversible cyclic cod...

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Veröffentlicht in:Symmetry (Basel) 2023-01, Vol.15 (1), p.73
Hauptverfasser: Alali, Amal S., Azmi, Mohd, ur Rehman, Nadeem
Format: Artikel
Sprache:eng
Schlagworte:
Binary system
Codes
Generators
Linear codes
Polynomials
Symmetry
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Zusammenfassung:In this article, we investigate the formation of reversible cyclic codes (i.e., its codewords forms a symmetry) over the ring S=F2+uF2+u2F2, where u3=0. We find a unique set of generators for cyclic codes over S and classify reversible cyclic codes to their generators. The dual reversible cyclic codes are studied as well. Moreover, we provide some examples of reversible cyclic codes.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15010073