Cyclic codes over F2+uF2+vF2+v2F2 with respect to the homogeneous weight and their applications to DNA codes

Cyclic codes over F2+uF2+vF2+v2F2 with respect to the homogeneous weight and their applications to DNA codes

In this paper, we study cyclic codes and their duals over the local Frobenius non-chain ring R = F 2 [ u , v ] / ⟨ u 2 = v 2 , u v ⟩ , and we obtain optimal binary linear codes with respect to the homogeneous weight over R via a Gray map. Moreover, we characterize DNA codes as images of cyclic codes...

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Veröffentlicht in:Applicable algebra in engineering, communication and computing communication and computing, 2021, Vol.32 (5), p.621-636
Hauptverfasser: Bulut Yılgör, Merve, Gürsoy, Fatmanur, Öztaş, Elif Segah, Demirkale, Fatih
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Binary codes
Binary system
Codes
Computer Hardware
Computer Science
OriginalPaper
Symbolic and Algebraic Manipulation
Theory of Computation
Weight
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Zusammenfassung:In this paper, we study cyclic codes and their duals over the local Frobenius non-chain ring R = F 2 [ u , v ] / ⟨ u 2 = v 2 , u v ⟩ , and we obtain optimal binary linear codes with respect to the homogeneous weight over R via a Gray map. Moreover, we characterize DNA codes as images of cyclic codes over R .
ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-020-00416-0