Abstract:In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible G k -codes of length kn, where k, n ∈ N, over the finite commutative Frobenius ring R. We employ our construction method to obtain many DNA codes over F 4 that satisfy the Hamming distance, reverse, reverse-complement and the fixed GCcontent constraints. Moreover, we improve many lower bounds on the sizes of some known DNA codes and we also … Show more
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