In this work, we have investigated the one generator cyclic DNA codes with reverse and reverse complement constraints over the ring R = ℤ4 +uℤ4 +u2 ℤ4 with u3 = 0. Skew cyclic codes with reverse complement constraint are constructed over R. We have also determined a one-to-one correspondence between the elements of the ring R and DNA codons satisfying the Watson-Crick complement. Finally, we have established some examples which satisfy the given constraints.

Cyclic dna codes over the ring z4 + uz4 + u2 z4

Gupta S.;
2021

Abstract

In this work, we have investigated the one generator cyclic DNA codes with reverse and reverse complement constraints over the ring R = ℤ4 +uℤ4 +u2 ℤ4 with u3 = 0. Skew cyclic codes with reverse complement constraint are constructed over R. We have also determined a one-to-one correspondence between the elements of the ring R and DNA codons satisfying the Watson-Crick complement. Finally, we have established some examples which satisfy the given constraints.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/901924
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