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Cyclic codes over F2+uF2+vF2+v2F2 with respect to the homogeneous weight and their applications to DNA codes.
- Source :
-
Applicable Algebra in Engineering, Communication & Computing . Nov2021, Vol. 32 Issue 5, p621-636. 16p. - Publication Year :
- 2021
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*LINEAR codes
*BINARY codes
*DNA
Subjects
Details
- Language :
- English
- ISSN :
- 09381279
- Volume :
- 32
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 152791701
- Full Text :
- https://doi.org/10.1007/s00200-020-00416-0