Publication: Cyclic codes over F2 + uF2 + vF2 + v2F2 with respect to the homogeneous weight and their applications to DNA codes
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SPRINGER
DOI
10.1007/s00200-020-00416-0
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Abstract
In this paper, we study cyclic codes and their duals over the local Frobenius non-chain ring R = F-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.
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APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN
0938-1279